select the correct answer. which hexadecimal number is equivalent to this binary number? 10011101\na. d9\nb…

select the correct answer. which hexadecimal number is equivalent to this binary number? 10011101\na. d9\nb. c7\nc. 9d\nd. 7c

select the correct answer. which hexadecimal number is equivalent to this binary number? 10011101\na. d9\nb. c7\nc. 9d\nd. 7c

Answer

Explanation:

Step1: Group binary digits

Group the binary number 10011101 into groups of 4 from right - to - left. We get 1001 and 1101.

Step2: Convert each group to hexadecimal

The binary number 1001 in decimal is (1\times2^{3}+0\times2^{2}+0\times2^{1}+1\times2^{0}=8 + 0+0 + 1=9). In hexadecimal, 9 is represented as 9. The binary number 1101 in decimal is (1\times2^{3}+1\times2^{2}+0\times2^{1}+1\times2^{0}=8 + 4+0 + 1 = 13). In hexadecimal, 13 is represented as D.

Answer:

C. 9D