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 4 Level 0 instructions; all Level 2 instructions are converted to 8 Level 1 instructions; all Level 3 instructions are converted to 8 Level 2 instructions; all Level 4 instructions are converted to 4 Level 3 instructions; and all Level 5 instructions are converted to 7 Level 4 instructions. If a Level 0 instruction takes 7.8 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

Solution is as follows:

1. We need to find out how many micro seconds it takes to execute a Level 4 instruction

1 Level 4 = 4 Level 3
          = 4 * 8 Level 2
          = 4 * 8 * 8 Level 1
          = 4 * 8 * 8 * 4 Level 0
Level 0 takes 7.8 * 10^9 seconds

So time to execute Level 4 instruction = 4 * 8 * 8 * 4 * 7.8 ns   
                                       = 7.9 microsecond
      

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