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2 votes
2 votes

The result of the subtraction $FD​_{16} - ​88_{16​}$ is

  1. $75_{16}$
  2. $65_{16}$
  3. $5E_{16}$
  4. $10_{16}$
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4 Answers

5 votes
5 votes
Here we can just convert the hexadecimal numbers to binary numbers easily, then again convert the resultant binary number to hexadecimal number.

F == 15 == 1111

D == 13 == 1101

So FD == 11111101

In the same way,

88 == 10001000

So

FD - 88 = (11111101) - (10001000)

            = (11111101) + 2's complement of (10001000)

           = (11111101) + (01111000)

           = 01110101

          = 75 ( in hexadecimal)

 

So A is the correct answer.

Kindly suggest, if there is any mistake in the process.
1 votes
1 votes

 Find the binary equivalent of the given hexadecimal number:

  • $(FD)_H=(1111 \ 1101)_2$
  • $(88)_H= (1000\ 1000)_2$

$\frac{\begin{matrix} &(FD)_H &=  &1111 &1101 \\ \ - &(88)_H &= &1000 &1000  \end{matrix}} {\begin{matrix}  &&(75)H &&= &0111  &0101\end{matrix}}$

Option $(A)$ is correct.

0 votes
0 votes

Convert each hexadecimal bits into 4 binary bits 

$fd = 11111101$

$88 = 10001000$

now do the binary subtraction 

  $11111101$

- $10001000$


  01110101

now again  take 4 bit each and convert it to hexadecimal

like first 4 bit 0111 = 7 in base 16

next 4 bit 0101 = 5 in base 16 

so answer is 75 in base 16

Answer:

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