cache memory

logistic_guy

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Joined
Apr 17, 2024
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here is the question

Consider a memory system with the following parameters:
\(\displaystyle T_c = 100\) ns
\(\displaystyle C_c = 10^{-4} \ \$/\)bit
\(\displaystyle T_m = 1200\) ns
\(\displaystyle C_m = 10^{-5} \ \$/\)bit

(a) What is the cost of \(\displaystyle 1\) MB of main memory?
(b) What is the cost of \(\displaystyle 1\) MB of main memory using cache memory technology?
(c) If the effective access time is \(\displaystyle 10\%\) greater than the cache access time, what is the hit ratio \(\displaystyle H\)?


my attemb
i think \(\displaystyle 1\) MB \(\displaystyle = 1024\) KB and i think \(\displaystyle 1\) B \(\displaystyle = 1\) byte \(\displaystyle = 8\) bits
so \(\displaystyle 1\) MB \(\displaystyle = 1024 \times 1024 \times 8 = 8388608\) bits
is my conversion correct?☹️
 
here is the question

Consider a memory system with the following parameters:
\(\displaystyle T_c = 100\) ns
\(\displaystyle C_c = 10^{-4} \ \$/\)bit
\(\displaystyle T_m = 1200\) ns
\(\displaystyle C_m = 10^{-5} \ \$/\)bit

(a) What is the cost of \(\displaystyle 1\) MB of main memory?
(b) What is the cost of \(\displaystyle 1\) MB of main memory using cache memory technology?
(c) If the effective access time is \(\displaystyle 10\%\) greater than the cache access time, what is the hit ratio \(\displaystyle H\)?


my attemb
i think \(\displaystyle 1\) MB \(\displaystyle = 1024\) KB and i think \(\displaystyle 1\) B \(\displaystyle = 1\) byte \(\displaystyle = 8\) bits
so \(\displaystyle 1\) MB \(\displaystyle = 1024 \times 1024 \times 8 = 8388608\) bits
is my conversion correct?☹️
Why do you think your calculation could be incorrect?
 
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