Consider a multi-level computer interpreting all levels where: all Level 1 instr

Question

Consider a multi-level computer interpreting all levels where: all Level 1 instructions are converted to 7 Level 0 instructions all Level 2 instructions Level 1 instructions all Level 3 instructions are converted to 4 Level 2 instructions all Level 4 instructions are converted to 7 Level 3 instructions; and all Level 5 instructions are converted to 4 Level 4 instructions. are converted to If a Level 0 instruction takes 22.3 ns to fetch, decode, and execute, how many micro seconds does it take to execute an instruction on Level 4? (Give your answer to one decimal place.)

Explanation / Answer

Level 0 fetch, decode and executes 1 instruction in 22.3ns

Level 1 fetch, decode and executes 7 instruction in 7 * 22.3ns

Level 2 fetch, decode and executes 5 instruction in  5 * 7 * 22.3ns

Level 3 fetch, decode and executes 4 instruction in  4 * 5 * 7 * 22.3ns

Level 4 fetch, decode and executes 7 instruction in  7 * 4 * 5 * 7 * 22.3ns = 21854ns

22.3 ns = 0.0223 microseconds

so for the Level 4 instruction 21854ns = 21.854 microseconds  

answer in one decimal place is 21.8 microseconds.

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