Computer Architecture

Computer Architecture is the study of a computer's internal structure, focusing on the CPU, memory, and data paths. It defines how computers process, store, and communicate data. Understanding it helps optimize performance and is essential for system...

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Computer Architecture

Computer Architecture is the study of a computer's internal structure, focusing on the CPU, memory, and data paths. It defines how computers process, store, and communicate data. Understanding it helps optimize performance and is essential for system design, embedded development, and low-level programming. Think of it as a computer's blueprint.

MCQ questions


1. Gray Code for decimal 7 is 100

Explanation: Gray code changes only one bit between successive values.
๐Ÿ” Mnemonic: Think "7 in binary is 111" โ†’ flip the last bit to get Gray โ†’ 100.

Reference: Binary to Gray

2. 9โ€™s complement of 46 is 53

Explanation: 9's complement = 99 - number.
๐Ÿงฎ Mnemonic: "Subtract from 9 for each digit": 9-4=5, 9-6=3 โ†’ 53.

3. Cache memory is implemented using SRAM

Explanation: SRAM is faster and used for cache due to its low access time.
๐Ÿง  Mnemonic: "S" in SRAM for "Speed" โ†’ Cache.

4. Number of address lines required for 512 bytes RAM is 9

Explanation: 2โน = 512 โ†’ needs 9 address lines.
๐Ÿ“ Mnemonic: Remember "2โฟ = memory size", so logโ‚‚(512) = 9.

5. Addressing mode in MOV A,B is Register Addressing

Explanation: Operands are CPU registers.
๐ŸŽฏ Mnemonic: MOV between registers = register mode.

6. Advantage of Modular programming is c) Change is local to module

Explanation: Only the module where the change is made is affected.
๐Ÿงฉ Mnemonic: Module = Isolated box โ†’ change inside wonโ€™t spill.

7. Program performs 3 ร— content of 2501H โ†’ store at 2502H

Explanation: ADD A adds accumulator twice โ†’ 3x original.
๐Ÿ” Mnemonic: LDA โ†’ ADD โ†’ ADD = 3ร—.

8. Multiplexer is also known as a Data Selector

Explanation: It selects one input from many.
๐Ÿ“ฆ Mnemonic: MUX = Multiple Inputs, X = Selector.

9. CPU uses Bus Grant to signal high impedance state to DMA

Explanation: BG signals DMA to take control.
๐ŸŽฏ Mnemonic: BG = "Bus Given".

10. Memory is connected to address lines

Explanation: Address lines locate memory cells.
๐Ÿ“ก Mnemonic: Address = Access memory.

11. Memory performance is measured by Access Time

Explanation: Time to read/write from memory.
โฑ๏ธ Mnemonic: Access time = speed of access.

12. Translator program is Compiler; BCD expresses decimal as 4-bit binary

Explanation: Compiler translates to machine code; BCD uses 4 bits per digit.
๐Ÿง  Mnemonic: BCD = Binary Coded Decimal โ†’ 4 bits/digit.

13. RISE = Reduced Instruction Set Execution

Explanation: Related to RISC.
๐Ÿ”ค Mnemonic: RISC = Reduced Instructions โ†’ RISE in speed.

14. Multiplexers for 8 registers, 4 bits = 4 multiplexers

Explanation: One 8:1 MUX per bit โ†’ 4 bits = 4 MUX.
๐Ÿ“ Mnemonic: Bits = number of MUX needed.

15. MAR = Memory Address Register

Explanation: Holds address of data to be fetched.
๐Ÿท๏ธ Mnemonic: MAR โ†’ "Marks Address to Read".

16. Transfer R2 โ† R1 executes when Enable Signal is active

Explanation: Needs control signal to trigger.
๐ŸŽฎ Mnemonic: No enable = No move.

17. DMA = Direct Memory Access

Explanation: Device accesses memory directly without CPU.
๐Ÿ”„ Mnemonic: DMA = Direct โ†’ Memory.

18. Logical shift transfers 0 through serial input

Explanation: Logical shift inserts zero.
๐Ÿ”ข Mnemonic: Logic is clean โ†’ always add 0.

19. Memory from 0000 to 7FFF = 32 KB

Explanation: 7FFF = 32767 + 1 = 32 KB.
๐Ÿ“ฆ Mnemonic: 7FFF โ†’ 2ยนโต locations โ†’ 32 KB.

20. 8085 Immediate mode: MVI A, 32H

Explanation: MVI loads immediate value.
๐Ÿ“ Mnemonic: MVI = Move Immediate.

21. 9โ€™s complement of 546700 is 453299

Explanation: 999999 - 546700 = 453299.
๐Ÿงฎ Mnemonic: 9 - each digit.

22. Multiplexers for 8 registers, 16 bits = 16 multiplexers

Explanation: 1 per bit โ†’ 16 bits = 16 MUX.
๐Ÿ“ Mnemonic: Bits = number of MUX.

23. Multiprocessor system components: Processors + Shared Memory

Explanation: Multiple CPUs accessing common memory.
๐Ÿ”— Mnemonic: Multi-core โ†’ multi-CPU.

24. CISC = Complex Instruction Set Computer

Explanation: Rich set of complex instructions.
๐Ÿ“š Mnemonic: CISC = Complex.

25. PC points to Next Instruction

Explanation: PC stores address of next instruction.
๐Ÿงญ Mnemonic: PC = Program Counter โ†’ Next.

26. ROR = Rotate Right

Explanation: Bits rotate right.
๐Ÿ”„ Mnemonic: ROR = Right Over Rotate.

27. Overlapping instruction execution is Pipelining

Explanation: Concurrent instruction execution.
๐Ÿšฟ Mnemonic: Like water pipe โ€“ flow together.

28. Zero address instruction โ†’ Operands in Stack

Explanation: Implicit use of top of stack.
๐Ÿ“š Mnemonic: Zero address = Stack.

29. Physical memory is divided into Pages

Explanation: Virtual memory uses paging.
๐Ÿ“– Mnemonic: Memory = pages like book.

30. Bi-directional bus: Data bus

Explanation: Data flows in both directions.
๐Ÿ” Mnemonic: Data comes and goes.

31. Minimum time between reads = Memory Cycle Time

Explanation: Includes access + recovery time.
โฒ๏ธ Mnemonic: Cycle = Full round.

32. Arithmetic/logic results stored in Accumulator or Register

Explanation: ALU outputs go to accumulator.
๐Ÿ“ฅ Mnemonic: Accumulates result.

33. Cache memory implemented using SRAM

Explanation: Fast and doesnโ€™t need refreshing.
โšก Mnemonic: Cache = Fast โ†’ SRAM.

34. Page replacement goal: Minimize Page Faults

Explanation: Avoid memory access delays.
๐Ÿšซ Mnemonic: Less faults = fast.

35. Cache memory purpose: Speed up data access

Explanation: Stores frequently used data.
๐ŸŽ๏ธ Mnemonic: Cache = Speed boost.

36. Data hazards occur when Data not available for next instruction

Explanation: One instruction needs result of another.
๐Ÿšง Mnemonic: Hazard = Wait for data.

37. Transfer R2 โ† R1 executes when Control signal active

Explanation: Needs timing/control.
๐Ÿ”’ Mnemonic: Controlled move.

38. Computer registers: R1, R2โ€ฆ

Explanation: Registers labeled for use.
๐Ÿ”ข Mnemonic: R = Register.

39. Selective-complement and clear = AND + NOT microoperations

Explanation: Clear = AND with 0; Complement = NOT.
๐Ÿ› ๏ธ Mnemonic: A + N = AND + NOT.

40. Output = 1 when inputs = 0 โ†’ NOR gate

Explanation: NOR = NOT OR.
๐Ÿ”˜ Mnemonic: All 0 = 1 only in NOR.

41. Special to temporal code via Counter

Explanation: Converts static to time-based code.
โณ Mnemonic: Count time.

42. Simplified expression: (X + Y)(X + Z) = X + YZ

Explanation: Boolean simplification.
๐Ÿ“ Mnemonic: Apply distributive rule.

43. Gates for half adder: XOR and AND

Explanation: XOR = sum, AND = carry.
โž• Mnemonic: X + A = Half Adder.

44. Fastest logic: ECL

Explanation: Emitter Coupled Logic is fastest.
๐Ÿš€ Mnemonic: ECL = Extra Crazy Logic speed.

45. Volatile memory: RAM

Explanation: RAM loses data when off.
๐Ÿ”Œ Mnemonic: Volatile = Vanishes.

46. AND gate (3-inputs): Output = 1 when A, B, C = 1

Explanation: All inputs must be high.
๐Ÿ’ก Mnemonic: AND = All Needed Data.

47. Binary to decimal: 10010.011 = 18.375

Explanation: 16+2 + 0.25 + 0.125 = 18.375.
๐Ÿงฎ Mnemonic: Whole + fractional.

another example

48. Flip-flops for MOD-32 = 5

Explanation: 2โต = 32.
๐Ÿง  Mnemonic: MOD N โ†’ logโ‚‚N.

49. 0010 in โ†’ After 2 clocks = 1 0 0 0

Explanation: Shifts right 2 times.
๐Ÿ” Mnemonic: Shift twice = rotate bits.

50. XNOR = A'B' + AB

Explanation: True when inputs match.
๐Ÿ’ž Mnemonic: XNOR = eXactly NOR.

51. Y = A + AB + ABC simplifies to A

Explanation: A is common in all.
๐Ÿง  Mnemonic: A once is enough.

52. 100.0 (binary) = 4.0

Explanation: 1ร—2ยฒ = 4.
๐Ÿ“ Mnemonic: Binary place values.

53. BCD of 32 = 0011 0010

Explanation: 3 = 0011, 2 = 0010.
๐Ÿงพ Mnemonic: BCD = 4-bit per digit.

54. Sequential circuit: Has memory/feedback

Explanation: Depends on previous states.
๐Ÿ” Mnemonic: Sequence โ†’ State โ†’ Memory.

55. Term in POS: Maxterm

Explanation: OR of variables in each term.
๐Ÿ“– Mnemonic: POS = Product of Sums โ†’ Maxterm.

56. Decoder with 4 select lines: 16 outputs

Explanation: 2โด = 16 outputs.
๐Ÿ”ข Mnemonic: 2โฟ outputs.

57. CCD = Charge Coupled Device

Explanation: Used in imaging sensors.
๐Ÿ“ธ Mnemonic: Camera = CCD.

58. To build n-input NAND from 2-inputs: n-1

Explanation: Binary tree of gates โ†’ needs n-1.
๐ŸŒฒ Mnemonic: Build tree โ†’ one less node than leaves.


Cheat sheet ( formula and full forms )

Hereโ€™s the completed Computer Architecture Cheat Sheet with Formulas, Full Forms, and helpful mnemonics:


๐Ÿง  Computer Architecture Cheat Sheet

๐Ÿ“˜ Important Formulas

ConceptFormulaExplanation / Mnemonic
Gray CodeBinary XOR (Binary >> 1)Gray = Binary โŠ• Right Shifted Binary
9's Complement9's complement of N = (10โฟ - 1) - N"Subtract each digit from 9"
Address Lines2โฟ = Memory Size in BytesSolve for n โ†’ n = logโ‚‚(Size)
Flip-Flops (MOD-N)n = logโ‚‚(N)MOD-N counter needs n FFs
Cache Access TimeHit Time + Miss Rate ร— Miss PenaltyTime to access cache on average
Effective Memory Access (with Cache)\= (Hit Ratio ร— Cache Time) + (Miss Ratio ร— Memory Time)Weighted average time
Memory CapacityAddress Lines = logโ‚‚(Total Bytes)E.g., 512B = 2โน โ†’ 9 lines
BCDEach digit in 4 bitsE.g. 32 = 0011 0010
Binary to DecimalPositional Weight: 1 2 4 8 16...Add based on 1s in binary
Page Table Size(Virtual Address Bits - Page Offset Bits) ร— Entry SizeE.g. 32-bit VA, 4KB page

๐Ÿ”ค Full Forms

AbbreviationFull Form
CPUCentral Processing Unit
ALUArithmetic Logic Unit
MARMemory Address Register
MDRMemory Data Register
IRInstruction Register
PCProgram Counter
DMADirect Memory Access
SRAMStatic Random Access Memory
DRAMDynamic Random Access Memory
RISCReduced Instruction Set Computer
CISCComplex Instruction Set Computer
BCDBinary Coded Decimal
MUXMultiplexer
DEMUXDemultiplexer
ECLEmitter Coupled Logic
TTLTransistor-Transistor Logic
FPGAField Programmable Gate Array
EEPROMElectrically Erasable Programmable ROM
CDCompact Disc
SSDSolid State Drive
ROMRead-Only Memory
RAMRandom Access Memory
I/OInput / Output
RISReduced Instruction Set
PDAPush Down Automaton
CCDCharge Coupled Device
FIFOFirst In First Out
LIFOLast In First Out
SMPSSwitched Mode Power Supply

๐Ÿ›  Boolean Algebra Laws

LawExpressionMeaning
IdentityA + 0 = A, A โ‹… 1 = ANeutral element
NullA + 1 = 1, A โ‹… 0 = 0Dominating element
IdempotentA + A = A, A โ‹… A = ARepetition doesn't change result
ComplementA + A' = 1, A โ‹… A' = 0Opposites cancel
Involution(A')' = ADouble NOT = A
De Morgan(AB)' = A' + B'; (A + B)' = A'B'Flip AND โ†” OR and negate

๐Ÿ”„ Number System Tricks

ConversionTrick
Binary to DecimalMultiply each bit by 2โฟ
Decimal to BinaryDivide by 2 and reverse remainders
Binary to GrayMSB same, then XOR successive bits
Gray to BinaryMSB same, then Binary[i] = Binary[i-1] โŠ• Gray[i]
Binary to HexGroup 4 bits โ†’ Convert each group
Binary to OctalGroup 3 bits โ†’ Convert each group

๐Ÿ” Instruction Formats & Modes

TypeDescriptionExample
RegisterOperand in CPU registerMOV A, B
ImmediateConstant in instructionMVI A, 32H
DirectAddress given explicitlyLDA 2040H
IndirectAddress stored in register pairMOV A, M
IndexedBase + index usedUsed in arrays

๐Ÿงฎ Logic Gate Summary

GateSymbolExpressionOutput = 1 When
ANDโ‹…A โ‹… BAll 1
OR+A + BAny 1
NOTยฏA'A = 0
NANDโ†‘(A โ‹… B)'Any 0
NORโ†“(A + B)'All 0
XORโŠ•A โŠ• BInputs differ
XNORโ‰กA โŠ• B'Inputs same

๐Ÿ“ฆ Memory Hierarchy (Fast โ†’ Slow)

  1. Registers

  2. Cache (SRAM)

  3. Main Memory (DRAM)

  4. SSD / HDD

  5. Optical / Tape


๐Ÿงฉ Microoperations Types

TypeExample
TransferR2 โ† R1
ArithmeticR3 โ† R1 + R2
LogicR4 โ† R1 AND R2
ShiftR5 โ† R1 >> 1

FeaturePISOPIPO
Full FormParallel In, Serial OutParallel In, Parallel Out
Data InputParallelParallel
Data OutputSerial (bit by bit)Parallel (all bits)
UsageTransmissionTemporary storage
ExampleShift registerBuffer register

Here's your full explanation in clean Markdown format โ€” perfect for study notes or a blog post:


Letโ€™s break down the concept of cache memory, cache mapping techniques, and how virtual memory works in a simple and clear way.


What is Cache Memory? different type of mapping and implementation of virtual memory ?

Cache is a small, fast memory located close to the CPU that stores frequently accessed data from the main memory (RAM) to reduce access time.


Cache Mapping Techniques

When the CPU needs data, it checks the cache. But how does it know where to look in the cache? That's where cache mapping comes in. There are three main types:

1. ๐Ÿ”น Direct Mapping

  • Each block of main memory maps to exactly one cache line.

  • Fast but less flexible.

Formula:

Cache Line Index = (Main Memory Block Address) % (Number of Cache Lines)

Example: If memory block 5 and 13 both map to cache line 5 (because 5 % 8 = 5 and 13 % 8 = 5), then if one is loaded, the other will evict it.

Pros: Simple & fast Cons: Collisions can occur easily (conflicts).


2. ๐Ÿ”ธ Fully Associative Mapping

  • Any block can be placed anywhere in the cache.

  • Most flexible but slowest for searching.

Needs: A search through all tags for a match.

Pros: No conflict misses. Cons: Expensive hardware (comparators for all lines).


3. ๐Ÿ”ท Set-Associative Mapping

  • Compromise between the above two.

  • Cache is divided into sets, each with n lines (n-way set associative).

  • A memory block maps to a specific set, but can go into any line within that set.

Formula:

Set Index = (Block Address) % (Number of Sets)

Example: 4-way set associative cache with 16 lines = 4 sets, each with 4 lines.

Pros: Balances speed and flexibility. Cons: More complex than direct mapping.


๐Ÿงฎ Quick Summary Table

Mapping TypeFlexibilitySpeedHardware CostCollision Chance
Direct MappingโŒ Lowโœ… Fastโœ… LowโŒ High
Fully Associativeโœ… HighโŒ SlowโŒ Highโœ… Low
Set-Associativeโš–๏ธ Mediumโš–๏ธ Mediumโš–๏ธ Mediumโš–๏ธ Medium

๐Ÿ’พ How Virtual Memory Works

Virtual memory is an OS-level abstraction that gives each process the illusion of a large, continuous memory, even if the physical memory is small.

๐Ÿ”ง Key Concepts:

  • Virtual Address (used by programs)

  • Physical Address (actual RAM location)

  • Page: Fixed-size block of virtual memory (e.g., 4KB)

  • Frame: Corresponding block in physical memory

๐Ÿ”„ Address Translation:

  1. CPU generates a virtual address.

  2. MMU (Memory Management Unit) uses a page table to translate it into a physical address.

  3. If the page is not in RAM (page fault), it is loaded from disk.


๐Ÿ” Virtual Memory Benefits:

  • Isolation: Each process has its own address space.

  • Multitasking: Easy to swap between processes.

  • Larger Memory: Programs can use more memory than physically available via paging.


๐Ÿ’ก Paging vs Segmentation

FeaturePagingSegmentation
DivisionFixed-size pagesVariable-size segments
PurposeMemory managementLogical program division
Used InMost modern OS (Linux, Windows)Some OS for logical memory models

๐Ÿง  Mnemonic Tricks:

  • D in Direct means Definite place.

  • F in Fully Associative = Free placement.

  • S in Set-Associative = Shared within a set.

  • V in Virtual Memory = Vast space illusion.


Hereโ€™s a concise explanation of hierarchical memory organization and the difference between Write-Through and Write-Back:


  1. what is Hierarchical Organization of Memory and walk through and write back ?

Hierarchical Organization of Memory (Top to Bottom)

LevelTypeSizeSpeedCost
1๏ธโƒฃ RegistersCPU-internalSmallestFastestHighest
2๏ธโƒฃ CacheL1, L2, L3SmallVery FastHigh
3๏ธโƒฃ Main MemoryRAMMediumFastMedium
4๏ธโƒฃ Secondary MemoryHDD, SSDLargeSlowLow
5๏ธโƒฃ Tertiary StorageMagnetic tapesVery LargeVery SlowVery Low

๐Ÿ“ Write-Through vs Write-Back (Cache Write Policies)

FeatureWrite-ThroughWrite-Back
Data WriteWrites to both cache and main memoryWrites only to cache initially
Memory UpdateImmediateDelayed (until cache block is replaced)
ConsistencyAlways consistent with memoryMay be inconsistent temporarily
SpeedSlower (more writes)Faster (fewer writes)
Use CaseSimpler, used when consistency is criticalBetter performance, but more complex

๐ŸŽฏ Mnemonics:

  • Write-Through: Write To RAM Too

  • Write-Back: Write Back Later


Sure! Here's everything in plain text (not Markdown or MDX) for easy reading or pasting into a regular document.


  1. What is locality of reference? Explain its types?

    What is hit and miss ratio in cache memory? Give formulas and example?

    What are the different types of ROM?

    What is the difference between RISC and CISC architectures?

1. Locality of Reference

Locality of reference refers to the tendency of a program to access the same or nearby memory locations frequently within a short period.

Types:

  • Temporal Locality: Recently accessed data will likely be accessed again.

  • Spatial Locality: Nearby memory locations are likely to be accessed soon.

  • Sequential Locality: Instructions/data are accessed sequentially (like in loops).


2. Cache Hit and Miss Ratio

  • Hit: When requested data is found in cache.

  • Miss: When data is not found in cache and must be fetched from main memory.

Formulas:

  • Hit Ratio = (Number of Hits) / (Total Memory Accesses)

  • Miss Ratio = (Number of Misses) / (Total Memory Accesses)

  • Miss Ratio = 1 - Hit Ratio

Example:
If 90 hits and 10 misses in 100 accesses:

  • Hit Ratio = 90 / 100 = 0.9 (90%)

  • Miss Ratio = 10 / 100 = 0.1 (10%)


3. Types of ROM (Read-Only Memory)

  • ROM: Pre-programmed at the factory; cannot be modified.

  • PROM: Programmable once by the user; cannot be erased.

  • EPROM: Can be erased using UV light and reprogrammed.

  • EEPROM: Can be erased electrically and reprogrammed many times.

  • Flash Memory: A faster version of EEPROM; used in USB drives, SSDs.


4. Difference Between RISC and CISC

FeatureRISC (Reduced Instruction Set)CISC (Complex Instruction Set)
Instruction TypeSimple, fixed-size instructionsComplex, variable-size instructions
Instructions per cycleTypically 1 (pipelined)May take several cycles per instruction
Code LengthLonger (more instructions)Shorter (fewer instructions)
Hardware ComplexitySimpler hardware, more software workComplex hardware
Execution SpeedFast and efficientSlower due to complexity
ExamplesARM, MIPS, RISC-VIntel x86, AMD

Mnemonic:

  • RISC โ†’ Really Intelligent Simple Code

  • CISC โ†’ Complex Instructions Save Code


what is pagging and itโ€™s technique ?

Von-Neuman Architecture ?

Vector proceesing and itโ€™s application?

Paging is a memory management technique where the logical memory is divided into fixed-size blocks called pages, and physical memory is divided into blocks of the same size called frames.

  • The Operating System maintains a page table to map logical pages to physical frames.

  • Paging helps to eliminate external fragmentation.

  • It allows non-contiguous allocation of memory, improving efficiency.

Technique:

  • When a process needs memory, its pages are loaded into available frames.

  • Address translation is done using the page number and offset.

  • If the required page is not in RAM, a page fault occurs, and it's fetched from disk.


Von-Neumann Architecture is a computer architecture model where:

  • Program and data share the same memory and same bus.

  • Instructions are fetched and executed sequentially.

  • It consists of:

    • ALU (Arithmetic Logic Unit)

    • CU (Control Unit)

    • Memory Unit

    • Input/Output devices

    • Registers

Limitation: Known as the Von-Neumann Bottleneck, where a single bus slows down instruction/data access.


Vector Processing is a type of parallel computing where a single instruction operates on multiple data elements (SIMD - Single Instruction, Multiple Data).

  • It uses vector processors or array processors.

  • Efficient for mathematical and scientific computations involving large data sets.

Applications:

  • Weather forecasting

  • Image and signal processing

  • Machine learning and deep learning

  • Scientific simulations (physics, chemistry, biology)

  • Aerospace and defense modeling


  1. what is pipeling give example? maths on speed up ratio

    Hereโ€™s a clear explanation of pipelining with an example and the formula for speedup ratio:


    What is Pipelining?

    Pipelining is a technique used in CPUs to improve instruction throughput by overlapping the execution of multiple instructions.

    • The execution process is divided into stages (like fetch, decode, execute, memory access, write back).

    • Different instructions are processed simultaneously at different stages.

    • This increases CPU instruction throughput (more instructions per unit time).


Example of Pipelining

Suppose an instruction takes 5 stages, each taking 1 nanosecond:

  • Without pipelining:
    To execute 5 instructions, total time = 5 instructions ร— 5 ns = 25 ns.

  • With pipelining:
    After the pipeline is filled, one instruction completes every 1 ns.
    Total time to execute 5 instructions = 5 ns (pipeline fill) + (5 - 1) ร— 1 ns = 9 ns.


Speedup Ratio

Speedup due to pipelining is:

$$\text{Speedup} = \frac{\text{Time without pipelining}}{\text{Time with pipelining}}$$

If

  • ( n ) = number of instructions,

  • ( k ) = number of pipeline stages,

  • ( t ) = time per stage,

Then,

$$\text{Time without pipelining} = n \times k \times t$$

$$\text{Time with pipelining} = (k + n - 1) \times t$$

Therefore,

$$\Rightarrow \text{Speedup} = \frac{n \times k \times t}{(k + n - 1) \times t} = \frac{n \times k}{k + n - 1}$$


Example:

Suppose

  • Number of instructions, ( n = 10 )

  • Number of pipeline stages, ( k = 5 )

  • Time per stage, ( t = 1 \text{ ns} )

Calculate the speedup.


Step 1: Calculate time without pipelining

$$\text{Time without pipelining} = n \times k \times t = 10 \times 5 \times 1 = 50 \text{ ns}$$

Step 2: Calculate time with pipelining

$$\text{Time with pipelining} = (k + n - 1) \times t = (5 + 10 - 1) \times 1 = 14 \text{ ns}$$

Step 3: Calculate speedup

$$\text{Speedup} = \frac{50}{14} \approx 3.57$$


Interpretation:
Pipelining makes the execution about 3.57 times faster than non-pipelined execution in this example.

---

### Key points:

* For large nn, speedup approaches kk (number of stages).

* Ideal speedup is equal to the number of pipeline stages.

* Real-world speedup is less due to pipeline hazards and stalls.


what is arithmetic pipelining? booths algorithm ( with example) ? IEEE-754 ? Fixed vs Floating point representation ?

  1. Breaks complex arithmetic operations into multiple smaller stages.

  2. Each pipeline stage performs one step (e.g., fetch, align, add, normalize, round).

  3. Multiple arithmetic instructions processed simultaneously at different stages.

  4. Increases throughput by overlapping instruction execution.

  5. Speeds up overall arithmetic processing, improving CPU performance.


  1. Fixed Point:

    • Represents numbers with a fixed number of digits before and after the decimal point.

    • Good for simple, precise calculations like money or small range values.

  2. Floating Point:

    • Represents numbers with a mantissa and exponent, allowing a wide range of values.

    • Used for scientific calculations needing large dynamic range.

  3. Precision:

    • Fixed point has constant precision (limited range).

    • Floating point precision varies depending on the exponent.

  4. Complexity and Hardware:

    • Fixed point arithmetic is simpler and faster in hardware.

    • Floating point arithmetic is more complex but handles very large/small numbers better.


design 4 bit adder 4 bit incrementer diff type of shift micro operation memory read and write operation explain it and register transfer language

1. Design of 4-bit Adder

2. 4-bit Incrementer


3. Different Types of Shift Operations

  • Logical Shift Left (LSL): Shifts all bits left, inserting 0 on the right.

  • Logical Shift Right (LSR): Shifts all bits right, inserting 0 on the left.

  • Arithmetic Shift Right (ASR): Shifts bits right, replicating the sign bit (MSB) on the left (for signed numbers).

  • Rotate Left (ROL): Bits shifted left; MSB is rotated to the LSB position.

  • Rotate Right (ROR): Bits shifted right; LSB is rotated to the MSB position.


4. Micro-Operations

  • Micro-operations are basic operations performed on data stored in registers.

  • Types:

    • Register Transfer: Moving data from one register to another (e.g., R1 โ†’ R2).

    • Arithmetic: Addition, subtraction, increment, decrement (e.g., R1 + R2 โ†’ R3).

    • Logic: AND, OR, XOR, NOT operations on register contents.

    • Shift: Bit shifts or rotates on register data.


5. Memory Read and Write Operation

  • Memory Read:

    • CPU places the address on the memory address register (MAR).

    • Sends a read signal to memory.

    • Data from memory location is placed on the memory data register (MDR).

    • Data is transferred to the CPU register.

  • Memory Write:

    • CPU places the address on MAR.

    • Places data to be written into MDR.

    • Sends a write signal to memory.

    • Memory stores data from MDR into specified address.


6. Register Transfer Language (RTL)

  • RTL describes the data transfer and operations between registers in symbolic form.

  • Example:

    • R1 โ† R2 + R3 means: add contents of R2 and R3, store in R1.

    • MAR โ† PC means: copy program counter value to memory address register.


  1. What is Memory Stack?

What is Memory Stack?

  • A memory stack is a portion of main memory used to store temporary data like function calls, return addresses, and local variables.

  • It works on Last In, First Out (LIFO) principle โ€” the last item pushed is the first to be popped.

  • The stack pointer (SP) keeps track of the current top of the stack in memory.


2. What is Register Stack?

  • A register stack is a stack implemented using CPU registers instead of memory.

  • It provides fast data storage and retrieval using push and pop operations within the processor registers.

  • Often used for temporary data, intermediate results, or storing return addresses in some CPU designs.


3. Push and Pop in Register Stack


  1. design


Address sequencing of micro-program control unit. Diff type of Address mode. DMA controller and itโ€™s operator

1. Address Sequencing in Microprogrammed Control Unit

A microprogrammed control unit generates control signals using a sequence of microinstructions stored in control memory. The control address of the next microinstruction is determined using address sequencing.

Address Sequencing Techniques:

  1. Incremental Sequencing โ€“ Next address = Current address + 1

  2. Branching โ€“ Jumps to a microinstruction based on condition flags or opcode

  3. Mapping โ€“ Direct mapping of instruction opcode to microinstruction address

  4. Subroutine Call/Return โ€“ Supports CALL and RETURN using microprogram stack

These determine how control flows in executing instructions.


2. Different Types of Addressing Modes

Addressing modes define how the operand (data) is accessed in an instruction. Common modes:

ModeDescription
ImmediateOperand is part of the instruction (e.g., MOV A, #5)
DirectAddress of operand is given (e.g., MOV A, 4000H)
IndirectAddress of operand is stored in a register (e.g., MOV A, @R0)
RegisterOperand is in a register (e.g., MOV A, B)
IndexedEffective address = Base + Index (used in arrays)
RelativeAddress calculated from current PC + offset (used in branching)
Base-RegisterAddress = Base Register + Displacement

3. DMA Controller and Its Operation

What is DMA?

DMA (Direct Memory Access) is a technique where data is transferred between memory and I/O devices without involving the CPU for each byte.

Components of DMA Controller:

  • Address Register: Holds memory address for data transfer

  • Count Register: Number of bytes to transfer

  • Control Register: Controls read/write mode and transfer enable

  • Data Bus Buffer: For transferring actual data

DMA Modes of Operation:

  1. Burst Mode (Block Transfer): Entire block of data transferred in one go

  2. Cycle Stealing: DMA takes control of bus for one cycle at a time

  3. Transparent Mode: DMA works only when CPU is idle

Steps in DMA Transfer:

  1. CPU gives control to DMA by setting up registers

  2. DMA sends request to memory

  3. Data is transferred directly between I/O device and memory

DMA sends interrupt to CPU after transfer is done


Difference

  • Micro programmed control unit vs hardwired control unit

  • RISC vs CISC

  • Memory mapped IO vs IO based IO

  • Static Ram vs Dynamic Ram

Here are the clear differences between the requested pairs:


โœ… 1. Microprogrammed Control Unit vs Hardwired Control Unit

FeatureMicroprogrammed Control UnitHardwired Control Unit
Control Signal GenerationUses microinstructions stored in control memoryUses combinational logic circuits
FlexibilityEasier to modify (just change microcode)Difficult to modify once designed
SpeedSlower (fetches microinstructions)Faster (direct hardware logic)
ComplexitySimpler to design and implementMore complex to design
Example UsageUsed in CISC architecturesUsed in RISC and high-speed processors

โœ… 2. RISC vs CISC

FeatureRISC (Reduced Instruction Set Computer)CISC (Complex Instruction Set Computer)
Instruction SizeFixed, simple instructionsVariable, complex instructions
Instruction CountFewer instructionsMore instructions
Execution TimeOne instruction per cycle (typically)Multiple cycles for one instruction
Control UnitHardwiredMicroprogrammed
ExampleARM, MIPSIntel x86, VAX

โœ… 3. Memory-Mapped I/O vs I/O-Mapped (Isolated) I/O

FeatureMemory-Mapped I/OI/O-Mapped (Isolated) I/O
Address SpaceShares memory address spaceHas a separate I/O address space
Instructions UsedAll memory instructionsSpecial IN/OUT instructions
Data Bus WidthSame as memoryCan be narrower
FlexibilityMore flexible (standard instructions)Less flexible
ExampleUsed in ARMUsed in Intel 8085/8086

โœ… 4. Static RAM (SRAM) vs Dynamic RAM (DRAM)

FeatureStatic RAM (SRAM)Dynamic RAM (DRAM)
Storage ElementFlip-flopsCapacitors
Refreshing NeededNoYes (periodically refreshed)
SpeedFasterSlower
CostExpensiveCheaper
UsageCache memoryMain memory


Diff mode of Data Transfer. FLYNN classification , Explaineach. Async mode of data transfer explain

1. Different Modes of Data Transfer

Data can be transferred between CPU, memory, and I/O devices using several modes:

ModeDescription
Programmed I/OCPU issues instructions to transfer data, waits for I/O to complete.
Interrupt-Driven I/OCPU initiates I/O and continues with other tasks; device sends an interrupt when ready.
DMA (Direct Memory Access)Data is transferred between I/O and memory directly without CPU involvement.
Memory-Mapped I/OI/O devices share the same address space as memory.
Isolated I/O (Port-Mapped I/O)I/O devices have a separate address space from memory.

2. Flynnโ€™s Classification (Computer Architecture)

Flynn's taxonomy classifies computer systems based on instruction and data streams.

TypeFull FormDescription
SISDSingle Instruction, Single DataTraditional uniprocessor (e.g., basic CPU). One instruction operates on one data at a time.
SIMDSingle Instruction, Multiple DataOne instruction operates on multiple data in parallel (e.g., GPUs, vector processors).
MISDMultiple Instruction, Single DataRare. Multiple processors execute different instructions on the same data stream.
MIMDMultiple Instruction, Multiple DataMultiple processors execute different instructions on different data (e.g., multicore systems).

Diagram:

Instruction โ†’   Data โ†’
SISD       :    One     One
SIMD       :    One     Many
MISD       :    Many    One
MIMD       :    Many    Many

3. Asynchronous Mode of Data Transfer

In asynchronous data transfer, data is transmitted without using a shared clock between the sender and receiver. Instead, control signals or special bits (like start and stop bits) are used to coordinate the transfer.


โœ… Asynchronous Data Transfer โ€“ Key Aspects

FeatureDescription
Clock SynchronizationNo shared clock; sender and receiver work independently
Control MechanismUses start and stop bits or handshaking signals
Start BitSignals the beginning of data transmission
Stop Bit(s)Signals the end of data transmission
Idle Line StateLine remains high (1) when not transmitting
Data OrderTypically LSB (Least Significant Bit) sent first
Transmission ModeSerial (bit-by-bit)
Example ProtocolsUART, RS-232
AdvantagesSimple, low-cost, supports devices with different speeds
DisadvantagesSlower due to extra bits (start/stop), less efficient than synchronous

โœ… Asynchronous Handshaking Signals

SignalRole
Ready / RequestSent by sender to signal that data is ready
AcknowledgeSent by receiver after receiving the data

  1. Diff Interrupts and Instruction format

Types of Interrupts (with Explanation)

Interrupts are signals that divert the CPU to handle events immediately. They can be classified as:

TypeDescription
Hardware InterruptGenerated by hardware devices like keyboard, mouse, or timers to get CPU attention.
Software InterruptTriggered by executing a special instruction (like INT in x86); used for system calls.
Maskable InterruptCan be disabled or "masked" by software using interrupt-enable instructions.
Non-Maskable Interrupt (NMI)Cannot be disabled; used for critical issues (like hardware failure).
Vectored InterruptCPU jumps to a fixed address or vector table entry for the interrupt handler.
Non-Vectored InterruptThe address of the interrupt service routine (ISR) must be supplied externally.
Internal Interrupt (Trap)Generated internally due to errors (e.g., divide-by-zero) or exceptions.
External InterruptTriggered by external hardware devices like I/O peripherals.
Spurious InterruptAn unwanted or false interrupt due to electrical noise or error.

Instruction Format in Computer Architecture

Instruction format refers to how a CPU instruction is structured in binary form. Every instruction typically includes:

  • Opcode: Operation to perform (e.g., ADD, MOV)

  • Operands: Data to operate on (e.g., registers, memory addresses)

  • Addressing mode info: Tells how to interpret operands


โœ… Types of Instruction Formats:

Format TypeDescription
Zero AddressUses a stack (e.g., PUSH, POP); operands are implicit.
One AddressOne operand is implicit (usually accumulator); e.g., ADD X (X + ACC).
Two AddressFirst operand is both source and destination; e.g., MOV A, B.
Three AddressAll operands explicitly stated; e.g., ADD A, B, C โ†’ A = B + C
Register FormatAll operands are registers. Very fast execution.
Immediate FormatIncludes a constant (immediate) value as operand; e.g., MOV R1, #5
Direct FormatOperand stored in memory location directly mentioned in instruction
Indirect FormatInstruction points to a memory address that contains the actual address of operand

Example Table for Instruction Format

FormatExampleMeaning
Zero AddressADDPop top two from stack, add, push result
One AddressSUB MACC = ACC โ€“ M[M]
Two AddressMOV A, BA = B
Three AddressADD R1, R2, R3R1 = R2 + R3
ImmediateMOV R1, #10Load 10 into R1

Here are easy mnemonics to remember types of interrupts and instruction formats effectively:


โœ… Mnemonics for Types of Interrupts

Use this phrase:

"Hi Sweetie, My New Vanilla Ice-Energy Smoothie Punches Everyone."

Each first letter maps to an interrupt type:

LetterInterrupt TypeMeaning
HHardwareExternal device-triggered
SSoftwareTriggered by software (like system calls)
MMaskableCan be disabled
NNon-MaskableCannot be disabled
VVectoredJumps to predefined ISR address
IInternalFrom CPU faults (e.g., divide by zero)
EExternalFrom devices outside CPU
SSpuriousFake/unwanted interrupt
PProgram/TrapSynonym for internal interrupt

โœ… Mnemonic for Instruction Formats

Use this sentence:

"Zombies Only Taste Two Rotis, Dipped In Rice."

LetterFormat TypeMeaning
ZZero AddressStack-based
OOne AddressOne operand, accumulator implied
TTwo AddressOne source, one destination
TThree AddressAll operands explicitly mentioned
RRegisterAll operands in registers
DDirectOperand in given memory address
IImmediateConstant in instruction
RRegister IndirectAddress stored in a register

(You can repeat R for Register and Register Indirect.)


Short note on

  • DMA

  • CAM

  • IO interface

  • Priority Interepts

  • Virtual memory

โœ… 1. DMA (Direct Memory Access)

  1. Transfers data directly between memory and I/O devices without CPU.

  2. Uses a DMA controller to manage transfers.

  3. Frees the CPU for other tasks, improving efficiency.

  4. Commonly used in disk drives, graphics, and audio.

  5. Operates via modes like burst, cycle stealing, and block.


โœ… 2. CAM (Content Addressable Memory)

  1. Also called associative memory.

  2. Searches by data content, not by address.

  3. All memory entries are compared simultaneously.

  4. Fast data lookup, used in cache and TLB.

  5. Expensive and used in special-purpose hardware.


โœ… 3. I/O Interface

  1. Connects CPU with external input/output devices.

  2. Manages communication, control, and data conversion.

  3. Supports synchronous and asynchronous transfers.

  4. Examples: keyboard controller, USB interface.

  5. Can use memory-mapped or I/O-mapped techniques.


โœ… 4. Priority Interrupts

  1. Assigns priority levels to multiple interrupt sources.

  2. Ensures urgent tasks are handled first.

  3. Managed using an interrupt controller.

  4. Lower-priority interrupts wait if a higher one occurs.

  5. Used in real-time and multitasking systems.


โœ… 5. Virtual Memory

  1. Logical memory space larger than physical RAM.

  2. Uses paging to map virtual to physical addresses.

  3. Stores inactive pages in disk (swap space).

  4. Improves multitasking and memory utilization.

  5. Managed by MMU (Memory Management Unit).


  1. Explain logical microoperation arithmetic micro-operation data transfer micro operation 2's complement -> subtraction

    โœ… 1. Logical Micro-Operations

    These perform bitwise operations between registers.

    • Operations: AND, OR, XOR, NOT.

    • Example:
      R1 โ† R2 AND R3
      (Performs bitwise AND between R2 and R3, stores in R1.)

    • Used for masking, setting, or clearing bits.

    • Operate on individual bits of the operand.

    • Fast and useful in bit-level manipulation.


โœ… 2. Arithmetic Micro-Operations

These perform basic arithmetic operations on register data.

  • Operations: ADD, SUB, INCREMENT, DECREMENT, NEGATE.

  • Example:
    R1 โ† R2 + R3

  • Used in performing arithmetic in ALU.

  • Overflow and carry bits may be generated.

  • Subtraction is often done using 2โ€™s complement.


โœ… 3. Data Transfer Micro-Operations

These move data from one place to another.

  • Operations: Transfer between registers or memory.

  • Example:
    R1 โ† R2
    (Copy data from R2 to R1.)

  • Includes Memory Read/Write operations.

  • Often part of control unit operations.

  • No changes made to dataโ€”just moved.


โœ… 4. 2's Complement โ†’ Subtraction

  • To subtract B from A, do:
    A - B = A + (2โ€™s complement of B)

  • Steps:

    1. Take 1โ€™s complement of B.

    2. Add 1 โ†’ now you have 2โ€™s complement of B.

    3. Add it to A: A + (~B + 1)

  • Example:
    6 - 4 = 6 + (-4) โ†’ 6 + (2's comp of 4)


  1. ai*bi+ci where i=[1 to 6 ] design the pipeline for it. What is parallel processing ? Why parallel processing is better than serial processing ?

    Parallel Processing

    • Definition: Simultaneous processing of multiple tasks using multiple processors or processing units.

    • Key Concepts:

      • Data Parallelism: Same operation on multiple data elements simultaneously.

      • Task Parallelism: Different tasks are processed concurrently.

Advantages of Parallel Processing over Serial Processing:

  • Speed: Processes large data sets faster by dividing tasks.

  • Efficiency: Utilizes multiple CPU cores effectively.

  • Scalability: Easily scales with additional processors.

  • Performance: Reduces execution time, especially in computationally intensive applications.

Parallel vs. Serial Processing:

  • Parallel Processing:

    • Tasks are divided among multiple processors.

    • Efficient for data-intensive operations.

    • More complex to program and synchronize.

  • Serial Processing:

    • Tasks are executed one after another.

    • Simpler to implement but slower for large datasets.

  • Which is Better?

    • Parallel processing is better when tasks can be performed independently and data can be divided. It significantly improves performance for large-scale computations.

pegging vs segmentation , vector vs non-vector Interrupt , Bootstrap loader store in ROM not in RAM why ?

Paging vs. Segmentation

  • Paging:

    • Divides memory into fixed-size pages.

    • Logical address space is divided into equal-sized pages.

    • Physical memory is divided into equal-sized frames.

    • No relation between pages and program structure.

    • Eliminates external fragmentation but may cause internal fragmentation.

  • Segmentation:

    • Divides memory into variable-sized segments.

    • Each segment corresponds to a logical unit, like a function or data structure.

    • Provides logical division of the program.

    • Can cause external fragmentation.

Vectored vs. Non-Vectored Interrupts

  • Vectored Interrupts:

    • Each interrupt has a predefined memory address.

    • CPU directly jumps to the interrupt service routine (ISR).

    • Faster as the address is fixed and known in advance.

  • Non-Vectored Interrupts:

    • The interrupting device must provide the address of the ISR.

    • CPU needs to fetch the ISR address, causing a delay.

    • More flexible as any device can specify its own address.

Why is the Bootstrap Loader Stored in ROM and Not in RAM?

  • Bootstrap Loader:

    • A small program that loads the operating system into memory during the boot process.
  • Stored in ROM because:

    • ROM is non-volatile, so it retains data when the computer is turned off.

    • The bootstrap loader needs to be available immediately after power on.

    • Storing it in RAM would erase the loader when the system shuts down.