Question

The value of two binary variables

A

and

B

are 1101.011 and 11.10 respectively, then

determine the value of

A− B .​

Answer 1

Answer:

The answer is 1089.911

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

The value of two binary variables A and B

are 1101.011 and 11.10 respectively

TO DETERMINE

$\sf{ \: \: \: \: \: \: \: \: \: \: A - B}$

PROCESS

BINARY SUBSTRACTION

Binary subtraction and decimal subtraction are almost similar.

The main difference is that when 1 is subtracted from 0 we have to borrow 1 from the next higher order bit and that bit is reduced by 1 (or 1 is added to the next bit of subtrahend) and the remainder is 1

POINTS TO REMEMBER

In case of Binary Subtraction we need to keep it in mind that

$\sf{ \: \: \: \: \: 0 - 0 = 0 \: }$

$\sf{ \: \: \: \: \: 1 - 0 = 1 \: }$

$\sf{ \: \: \: \: \: 1 - 1 = 0 \: }$

$\sf{ \: \: \: \: \: 0 - 1 = 1\: } \: ( \: having \: \: 1 \: as \: borrow \: )$

CALCULATION

$\sf{ Borrow \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \: \: \: \: 1 \: \: \: }$

$\sf{A \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1101.011 \: \: \: \: \:}$

$\sf{B \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 0011.100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

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$\sf{A-B\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1001.111 \: \: \: \: \:}$

RESULT

$\boxed{ \sf{ \: \: \: A-B\: \: = \: \: 1001.111 \: \: \:}}$

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