ITPEC FE Morning October 2019 Question 10

Source exam: ITPEC FE Morning October 2019Topic: Basic Theory & Math

ITPEC FE Morning October 2019 — Question 10 of 80

MIPS Calculation — compute CPU performance from clock frequency and weighted CPI.

Given: clock = 2.0 GHz, three instruction types with clocks and frequency.

Step 1 — Weighted CPI:
- CPI = 15×0.4 + 10×0.2 + 10×0.4 = 12 clocks

Step 2 — MIPS formula:
- MIPS = clock_frequency / (CPI × 10⁶)

- MIPS = 2×10⁹ / (12 × 10⁶) = 2000/12 ≈ 167

Why not others:
- (a) 16.7 — order-of-magnitude error

- (b) 120 — incorrect CPI or frequency calculation

- (d) 200 — uses CPI = 10 (unweighted, ignoring frequency distribution)

Key rule: MIPS = clock_freq(Hz) / (CPI × 10⁶). Always weight CPI by instruction frequency.

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