Nptel Computer Architecture Week 10 Solutions



What piece of information is passed on between the stages of a pipelined processor?

 Instruction Packet

 Instruction Register

 Instruction Pointer

 None of the options


The piece of information that is passed on between the stages of a pipelined processor is typically the "Instruction Packet" or simply the "Instruction." In a pipelined processor, instructions are divided into multiple stages, such as fetch, decode, execute, and writeback. Each stage works on a different part of the instruction, and as one instruction progresses to the next stage, a new instruction can enter the pipeline. This allows for more efficient and parallel processing of instructions.


The "Instruction Packet" or "Instruction" includes the opcode and operands necessary for the execution of the instruction. It moves through the pipeline, and each stage processes a different aspect of the instruction until it completes its execution.


The "Instruction Register" and "Instruction Pointer" are components within the processor used for managing and executing instructions but are not typically passed directly between pipeline stages as the instruction itself is.



How many processor cycles would it take to execute n instructions in a 5-stage pipeline provided there are no stalls, and each stage takes a single cycle?

 n

 n-1

 n+5

 n+4

In a 5-stage pipeline with no stalls and each stage taking a single cycle, the number of processor cycles it would take to execute n instructions is n + 4.

Here's the breakdown of why:

Instruction Fetch (IF)

Instruction Decode (ID)

Execute (EX)

Memory Access (MEM)

Write Back (WB)

In a pipeline, each instruction moves from one stage to the next in each cycle. So, when the first instruction enters the pipeline, it takes 5 cycles to complete all the stages (IF, ID, EX, MEM, WB). As subsequent instructions enter the pipeline, they start to overlap with the execution of the previous instructions.


Therefore, to execute n instructions, the first instruction takes 5 cycles, the second instruction takes 4 cycles (because it starts one cycle later), the third instruction takes 3 cycles, and so on. The last instruction takes 1 cycle.

So, the total cycles required would be:

5 (for the first instruction) + 4 (for the second instruction) + 3 (for the third instruction) + ... + 1 (for the nth instruction)

This is essentially the sum of the first n natural numbers, which is equal to n(n + 1)/2.

So, the total cycles required to execute n instructions in a 5-stage pipeline with no stalls and each stage taking a single cycle is:

n(n + 1)/2

Now, if you plug in n into the formula, you'll get n + 4:

n(n + 1)/2 = (n^2 + n)/2

Dividing by 2:

(n^2 + n)/2 = (n^2/2) + (n/2)

So, n + 4 = (n^2/2) + (n/2)

Therefore, the answer is n + 4.

Which stage in a 5-stage pipelined architecture is responsible for fetching the operand values from the registers and deciding if any of the operands is an immediate?

 OF

 IF

 MA

 EX


In a 5-stage pipelined architecture, the stage responsible for fetching the operand values from the registers and deciding if any of the operands is an immediate value typically occurs in the "ID" or "IF" stage, which stands for "Instruction Decode" or "Instruction Fetch" stage, respectively. The specific naming can vary depending on the processor architecture, but the responsibilities are similar.


In the "ID" or "IF" stage:


Instruction Fetch (IF): This is where the processor fetches the instruction from memory. It involves fetching the instruction's opcode and sometimes the immediate values or immediate operands.


Instruction Decode (ID): In this stage, the processor decodes the fetched instruction, determines the source and destination registers, and identifies immediate values if present in the instruction. The ID stage is responsible for resolving register operands and deciding if an operand is an immediate value.


So, it's mainly the "ID" or "IF" stage where operand fetching and decoding occur in a 5-stage pipeline architecture. The specific naming can vary between different processor designs, but the key tasks remain the same.






What is the purpose of having latches in between the stages of a pipeline?

 To hold intermediate results in between stages

 To send back the status from the future stage

 To recover from a stall

 None of the options

The purpose of having latches in between the stages of a pipeline is:

To hold intermediate results in between stages.

Latches, or pipeline registers, are used to store intermediate results as an instruction progresses through the various stages of a pipelined processor. These latches act as temporary storage elements that allow data to be passed from one stage to the next. They ensure that each stage can work on its portion of the instruction independently and in parallel with other instructions in the pipeline. This parallelism and data storage in latches are key features of pipelining, which help improve the overall throughput and performance of a processor.

So, the correct answer is the first option: "To hold intermediate results in between stages."






How many cycles would the following instructions take to execute in a 5-stage pipelined architecture if the pipeline handles data hazards by inserting nop instructions? Assume the pipeline does not support forwarding.


[1]: add r1, r2, r3

[2]: add r4, r1, r5

 2

 7

 9

 10

In a 5-stage pipelined architecture with no support for forwarding and the handling of data hazards by inserting NOP (no-operation) instructions, the number of cycles required to execute the given instructions would be 7 cycles.

Let's break down the execution step by step:

[1]: add r1, r2, r3

Cycle 1: IF (Instruction Fetch)

Cycle 2: ID (Instruction Decode)

Cycle 3: EX (Execution)

Cycle 4: MEM (Memory Access)

Cycle 5: WB (Write Back)

[2]: add r4, r1, r5

Cycle 6: IF (Instruction Fetch)

Cycle 7: ID (Instruction Decode)

Now, a data hazard occurs because instruction 2 depends on the result of instruction 1 (register r1). Since there is no support for forwarding in this pipeline, the pipeline needs to stall for two additional cycles (cycles 8 and 9) to resolve the hazard:


Cycle 8: NOP (stall)

Cycle 9: NOP (stall)

Finally, in Cycle 10, instruction 2 can proceed with the execution:


Cycle 10: EX (Execution)

So, it takes a total of 10 cycles for both instructions to complete their execution. However, since the question asks for the number of cycles for each instruction individually, the answer is 7 cycles for instruction 1 and 10 cycles for instruction 2.






When is a pipeline called in-order? Choose the most appropriate option.

 When the stages of the pipeline are arranged in a straight line

 When there cannot be any data hazards in the pipeline

 When a preceding instruction is always ahead of a succeeding instruction in the pipeline

 None of the option


A pipeline is called "in-order" when a preceding instruction is always ahead of a succeeding instruction in the pipeline.


In an in-order pipeline, instructions are executed in the order in which they were fetched, and there is no instruction reordering or out-of-order execution. Each instruction goes through the pipeline stages in a linear and sequential fashion. This ensures that the execution order of instructions is maintained, and there are no out-of-sequence results. While it may still have data hazards, the key characteristic of an in-order pipeline is that instructions are processed in the order they were fetched.


So, the correct option is:


"When a preceding instruction is always ahead of a succeeding instruction in the pipeline."






Which of the following is a valid method of handling control hazards in the pipeline?

 Delayed branching

 Out-of-order pipelining

 Jumping instructions

 All the options


A valid method of handling control hazards in the pipeline is "Delayed branching."


Control hazards occur when a branch instruction (e.g., a conditional branch or jump) is encountered in the pipeline, and the pipeline doesn't yet know whether the branch should be taken or not. Delayed branching is a technique used to handle control hazards by allowing the pipeline to continue executing instructions following the branch instruction while the branch's outcome is being determined.


Here's how delayed branching works:


When a branch instruction is encountered in the pipeline, instead of immediately stalling the pipeline to wait for the branch condition to be resolved, the pipeline continues to execute instructions from the predicted taken path (e.g., the branch is assumed to be taken by default).

The branch condition is evaluated in parallel, typically in a separate branch prediction unit.

Once the actual outcome of the branch is known (whether it was taken or not taken), the pipeline can take appropriate action:

If the prediction was correct, no penalty is incurred, and execution continues as usual.

If the prediction was incorrect, the pipeline is flushed, and the correct path is followed.

This technique helps maintain pipeline throughput and reduce the performance impact of branch instructions. It is one of the methods used to mitigate control hazards.


"Out-of-order pipelining" and "Jumping instructions" are not methods specifically used for handling control hazards but rather refer to other concepts in pipeline design and programming. Therefore, the correct answer is "Delayed branching."






Why don’t we ever use the EX -> OF forwarding path?

 Not possible to forward from an earlier stage to a later stage

 Due to the existence of the MA -> EX path

 The forwarding path is too long to be effective

 There is no case where this path is necessary

We don't use the EX (Execution) stage to OF (Operand Fetch) stage forwarding path in a pipeline because it's not a common or necessary forwarding path, and there is no typical case where this path is required for resolving data hazards. Forwarding is primarily used to handle data hazards by forwarding data from later stages back to earlier stages to prevent stalls and maintain correct execution order.

Here are the reasons why the EX -> OF forwarding path is not typically used:

Execution to Operand Fetch: In a typical pipeline, the Operand Fetch (OF) stage comes before the Execution (EX) stage. Data dependencies are resolved by forwarding data from later stages (e.g., MEM or WB) back to earlier stages (e.g., ID or EX) to prevent stalls. Forwarding data from EX to OF would be counterintuitive to the natural flow of data in a pipeline.

Operand Fetch Stage: The Operand Fetch (OF) stage is primarily responsible for obtaining operands and values from registers or memory for the current instruction. It doesn't need to receive data directly from the Execution (EX) stage because it's not designed to perform calculations or operations on those operands.

Unnecessary Complexity: Adding an EX -> OF forwarding path would introduce unnecessary complexity to the pipeline design and might not provide significant benefits since the Operand Fetch stage is not involved in executing instructions.

In contrast, forwarding typically occurs from later stages (e.g., MEM or WB) to earlier stages (e.g., ID or EX) where data dependencies are resolved and instructions are executed.

So, the primary reasons for not using the EX -> OF forwarding path are that it's not a standard forwarding path in pipeline design, and there is no typical scenario where it would be necessary for handling data hazards.


Which of the following is not a type of interlock?

 Branch Interlock

 Data Interlock

 Logic interlock

 None of the options


"None of the options" is the correct choice.


The term "interlock" typically refers to mechanisms or techniques used in pipelined processor designs to handle hazards and maintain correct instruction execution order. The three options you provided, "Branch Interlock," "Data Interlock," and "Logic Interlock," could all be considered types of interlocks, depending on the context, as they represent different ways of handling specific types of hazards in a pipelined architecture. Therefore, none of these options should be excluded as a type of interlock.






How do we stall a pipeline?

 Disable the write functionality of the IF-OF register and the PC

 Restrict power to the processor

 Lock the instructions stored in the memory

 Start executing the next instruction

To stall a pipeline in a computer processor means to temporarily halt the progress of instructions in the pipeline, often due to hazards or other conditions that prevent the next instruction from proceeding immediately. Stalling is a technique used to ensure that instructions are executed in the correct order or to handle various hazards. To stall a pipeline, you would typically do the following:


Disable the write functionality of certain pipeline registers: Stalling often involves preventing the overwriting of certain pipeline registers temporarily. For example, in a 5-stage pipeline, you might disable the write functionality of the IF (Instruction Fetch) or ID (Instruction Decode) stage, which prevents new instructions from entering the pipeline until the stall condition is resolved.


Prevent the propagation of signals: Stalling can involve preventing the forwarding of signals or instructions between pipeline stages, ensuring that no new instruction enters the pipeline until the stall condition is resolved.


Wait for the stall condition to be resolved: The pipeline remains stalled until the condition that caused the stall is resolved. This can be due to data dependencies (data hazards), control hazards (e.g., branch instructions), or other conditions that require the processor to wait before proceeding.


Starting the execution of the next instruction, as mentioned in one of the options, is not how you stall a pipeline. In fact, when a pipeline is stalled, you specifically prevent the next instruction from executing until the stall condition is resolved to ensure that instructions are processed in the correct order and hazards are properly handled.






 

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