Answer to Question #123667 in Computer Networks for Anastacia Ofori

Question

Compute - ABE-DF4 using 15’s complement all to the base 16

Answer 1

To compute: A B E- D F 4 with base 16 using 15’s compliment

As we know in 15’s compliment we have to subtract the given hexadecimal digit with 15.

Therefore,  

  15 15 15  => 15 15 15

 - A  B  E  => 10 11 14

 _________

  5   4   1

 __________  => is the 15’s compliment

• 15’s compliment for D F 4

Similarly,

          15 15 15

- D  F  4

________

 2  0  B  =>15’s compliment

Now to compute ABE-DF4

(A-B) of 15’s compliment is

=> A+(15’s compliment of B)

=> ABE+(20B)

=> 10 11 14+(2 0 11)

=> 12 11 25

=> C B 25 is the final answer