Question

the uppercase letter q has an ascii code of 101 0001. what is the hexadecimal representation of this value? 51 50 4e 4f

Explanation:

Step1: Divide the binary number into groups of 4 bits

The binary number is \(1010001\). Since it has 7 bits, we add a leading \(0\) to make it \(01010001\). Then we divide it into two groups: \(0101\) and \(0001\).

Step2: Convert each group to hexadecimal

For the group \(0101\):

$$0\times2^{3}+1\times2^{2}+0\times2^{1}+1\times2^{0}=0 + 4+0 + 1=5$$

For the group \(0001\):

$$0\times2^{3}+0\times2^{2}+0\times2^{1}+1\times2^{0}=0+0 + 0+1 = 1$$

Combining these results, the hexadecimal representation is \(51\).

Answer:

A. 51