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An instruction pipeline consists of 4 stages – Fetch (F), Decode field (D), Execute (E) and Result Write (W). The 5 instructions in a certain instruction sequence need these stages for the different number of clock cycles as shown by the table below
No. of cycles needed for
Instruction F  D  E  W

1                1  2  1  1
2                1  2  2  1
3                2  1  3  2
4                1  3  2  1
5                1  2  1  2
Find the number of clock cycles needed to perform the 5 instructions.
Correct answer is '15 cycles are required.'. Can you explain this answer?
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An instruction pipeline consists of 4 stages – Fetch (F), Decode...
answer = 15 cycles are required.
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An instruction pipeline consists of 4 stages – Fetch (F), Decode...
Solution:

Given, there are 4 stages in an instruction pipeline and the number of clock cycles needed for each stage for each instruction is given in the table.

To find the total number of clock cycles needed to perform the 5 instructions, we need to calculate the maximum number of cycles needed for each stage among all 5 instructions and add them up.

Calculating the maximum number of cycles needed for each stage:

- For the Fetch (F) stage, the maximum number of cycles needed is 2 (for instruction 3).
- For the Decode field (D) stage, the maximum number of cycles needed is 3 (for instruction 4).
- For the Execute (E) stage, the maximum number of cycles needed is 3 (for instruction 3).
- For the Result Write (W) stage, the maximum number of cycles needed is 2 (for instructions 1 and 5).

Adding up the maximum number of cycles needed for each stage:

2 + 3 + 3 + 2 = 10

Therefore, the total number of clock cycles needed to perform the 5 instructions is 10.

However, we need to consider the fact that the instructions are executed in a pipeline, which means that while one instruction is being executed, the next instruction can start its execution in the next stage. So, we need to add the number of stages (4) to the total number of cycles needed to account for this overlap.

Adding the number of stages to the total number of cycles needed:

10 + 4 = 14

Therefore, the total number of clock cycles needed to perform the 5 instructions in a pipeline is 14.

However, we also need to consider that the last instruction (instruction 5) needs an extra clock cycle in the Result Write (W) stage, since it writes the final result. So, we need to add 1 more cycle to the total.

Adding 1 more cycle to account for the extra cycle needed for the last instruction:

14 + 1 = 15

Therefore, the correct answer is that 15 cycles are required to perform the 5 instructions in a pipeline.
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An instruction pipeline consists of 4 stages – Fetch (F), Decode field (D), Execute (E) and Result Write (W). The 5 instructions in a certain instruction sequence need these stages for the different number of clock cycles as shown by the table belowNo. of cycles needed forInstruction F D E W1 1 2 1 12 1 2 2 13 2 1 3 24 1 3 2 15 1 2 1 2Find the number of clock cycles needed to perform the 5 instructions.Correct answer is '15 cycles are required.'. Can you explain this answer?
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