Mathematics For Computer Science - Converting Between Two Values

CONVERTING BETWEEN VALUES
You may be asked, for example, how many Mi are in a Ti. You don’t need to learn all
of the different numbers, just remember the patterns and the rule for dividing
numbers with powers:

numbers with powers Ti/Mi = 2⁴⁰/2²⁰ = 2^40-20

Worked Example How many MiB are in a TiB?

Step 1: write down the values for each.

Mib=2²⁰ Tib=2⁴⁰

Step 2: work out the difference in powers. Subtract the smaller power (20) from the larger power (40) to get the new power. 40 – 20 = 20 The answer is 2 to the power of the difference in powers, 20. 2²⁰ = 1 048 576

How many MB are in 2 GB?
Step 1: write down the values for each.

MB=10⁶ GB=10⁹

Step 2: work out the difference in powers. 9 – 6 = 3, so 10³ = 1000 Step 3: you need 2 GB, so multiply by 2. 1000 × 2 = 2000 You can also give answer in the form of 2 x10³