Question

the binary number 1110 0101 equals ______ in hexadecimal.
f6
d5
6c
e5

Explanation:

Step1: Group the binary digits

Group the binary number \(1110\ 0101\) into groups of 4 digits from right to left. Here, it is already in two groups: \(1110\) and \(0101\).

Step2: Convert each group to hexadecimal

• For the group \(1110\):

$$1\times2^{3}+1\times2^{2}+1\times2^{1}+0\times2^{0}=8 + 4+2+0=14$$

In hexadecimal, \(14\) is represented as \(E\).

• For the group \(0101\):

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

Answer:

E5