Question

subtract 13(10) from 35(10) using 2's complement method​

Answer 1

Answer:

Answer is 010110

Explanation:

Convert the given numbers from base 10 to base 2 ( convert decimal numbers 35 and 13 to binary form)

$35_{10}$ = 100011

$13_{10}$ = 1101

Find Subtraction of 100011 and 1101 using 2's complement method

Here A = 100011, B = 001101.

Find A - B = ? using 2's complement

First find 2's complement of B = 001101

Note : 2's complement of a number is 1 added to it's 1's complement number.

Step-1: 1's complement of 001101 is obtained by subtracting each digit from 1

1 1 1 1 1 1

- 0 0 1 1 0 1

_______________________

1 1 0 0 1 0

Step-2: Now add 1 to the 1's complement to obtain the 2's complement :

110010 + 1 = 110011

Step-3: Now Add this 2's complement of B to A

1    1 1

1 0 0 0 1 1

+ 1 1 0 0 1 1

___________________________

1 0 1 0 1 1 0

The left most bit of the result is 1, called carry and it is ignored.

So answer is 010110.

Hence the answer is 010110

#SPJ2