Question

How many bytes are required to encode n bits of data where n equals

a) 4? b) 10? c) 500? D)3000?

Short answer

a) 1

b) 2

c) 63

d) 375

Step-by-step solution

Step 1:

Each byte is equal to 8 bits and less than 8 bits will also require one byte

For n = 4

The number of bytes is [ 4/8 ] = [ 0.5 ] = 1

Step 2:

For n = 10

The number of bytes is [ 10/8 ] = [12.5 ] = 2

Step 3:

For n = 500

The number of bytes is [ 500/8 ] = 62.5 = 63

Step 4:

For n = 3000

The number of bytes is [ 3000/8 ] = 375