Question

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

a) 7? b) 17? c) 1001? d) 28,800?

Short answer

a) 1

b) 3

c) 126

d) 3600

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 = 7

The number of bytes is [ 7/8 ] = 1

Step 2:

For n = 17

The number of bytes is [ 17/8 ] =1

Step 3:

For n = 1001

The number of bytes is [ 1001/8 ] =126

Step 4:

For n = 28800

The number of bytes is [ 28800/8 ] = 3600