Let the memory access time is 10 miliseconds and cache hit ratio 15%. The effective memory access time is

✅ Given Values:

• Memory Access Time: 10 milliseconds
• Cache Hit Ratio: 15% = 0.15

✅ Formula for Effective Memory Access Time (EMAT):

\(\text{EMAT} = \text{Cache Hit Ratio} \times \text{Cache Access Time} + (1 - \text{Cache Hit Ratio}) \times (\text{Memory Access Time} + \text{Cache Access Time})\)

✅ Step 1: Plug Values into the Formula:

\(\text{EMAT} = 0.15 \times 10 + (1 - 0.15) \times (10 + 10)\)

\(\text{EMAT} = 0.15 \times 10 + 0.85 \times 20\)

\(\text{EMAT} = 1.5 + 17\)

\(\text{EMAT} = 18.5 \, \text{milliseconds}\)

✅ Final Answer:

EMAT = 18.5 milliseconds