cache memory

[logistic_guy]

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?

 

[khansaheb]

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?