Instruction type Clock cycles required per
instruction (CPI)Number of instructions
executedBranch 2 $2.25 \times 10^8$ Load 5 $1.20 \times 10^8$ Store 4 $1.65 \times 10^8$ Arithmetic 3 $1.30 \times 10^8$
1. Calculate Total Clock Cycles:
The total clock cycles (\( \text{Total CPI} \)) can be computed by summing up the product of the clock cycles per instruction (CPI) with the number of instructions for each type.
- Branch: \( 2 \times 2.25 \times 10^8 = 4.5 \times 10^8 \)
- Load: \( 5 \times 1.20 \times 10^8 = 6.0 \times 10^8 \)
- Store: \( 4 \times 1.65 \times 10^8 = 6.6 \times 10^8 \)
- Arithmetic: \( 3 \times 1.30 \times 10^8 = 3.9 \times 10^8 \)
Total CPI = \( 4.5 + 6.0 + 6.6 + 3.9 \) × \( 10^8 = 21.0 \times 10^8 \) clock cycles
2. Compute Clock Cycle Duration:
The duration of a clock cycle (\( T_c \)) can be found using:
\( T_c = \frac{\text{Total Time for Execution in seconds}}{\text{Total Clock Cycles}} \times 10^9 \) (to convert seconds to nanoseconds)
\( T_c = \frac{6.3}{21.0 \times 10^8} \times 10^9 \)
= \( \frac{6.3}{21.0} \times 10 = 0.3 \) nanoseconds
3. Validation:
The computed clock cycle duration of \( 0.3 \) nanoseconds is within the expected range of 3,3, confirming the accuracy.
Therefore, the duration of a clock cycle is 0.3 nanoseconds.
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