Question

11. What is the hexadecimal representation of each of the following binary numbers? a. 1100 1111 0101 0111

Answer 1

Answer:

(a) $1100 1111 0101 0111_{2}$ = $CF57_{16}$

Explanation:

To convert from binary to hexadecimal, convert each 4 binary digits to its hexadecimal equivalent according to the following;

Binary => Hex

0000  => 0

0001   => 1

0010   => 2

0011    => 3

0100   => 4

0101    => 5

0110    => 6

0111     => 7

1000   => 8

1001    => 9

1010    => A

1011     => B

1100    => C

1101     => D

1110     => E

1111      => F

(a) 1100 1111 0101 0111

=> Taking the first four binary digits : 1100

According to the table, the hexadecimal equivalent is C

=> Taking the second four binary digits : 1111

According to the table, the hexadecimal equivalent is F

=> Taking the third four binary digits : 0101

According to the table, the hexadecimal equivalent is 5

=> Taking the last four binary digits : 0111

According to the table, the hexadecimal equivalent is 7

Therefore, the hexadecimal representation of

1100 1111 0101 0111 is CF57