Question

The resultant of the binary subtraction 1110101-0011110 is

• A. 1001111
• B. 1010111
• C. 1010011
• D. 1010001

Answer 1

The Correct Option is B

To solve the binary subtraction problem \(1110101 - 0011110\), follow these steps:

1. Write the numbers in alignment for binary subtraction:

Carry:		1	1	1	1	0	0	0
Minuend:	1	1	1	0	1	0	1
Subtrahend:	-	0	0	1	1	1	1	0
Result:		1	0	1		1	1	1

1. Subtract from right to left. Note that binary subtraction is similar to decimal subtraction where 1-0 = 1, 0-0 = 0, 1-1 = 0, and if 0 is to be subtracted from 1, borrowing from the left is required:
2. Borrow where necessary, starting from the rightmost digit (LSB):
   • \(1_2 - 0_2 = 1_2\)
   • \(0_2 - 1_2\) requires borrowing, change \(0_2\) to \(10_2\).
   • Continue borrowing from left so that subtraction is possible.
3. Continue this process till the leftmost digit (MSB).
4. The final result of the subtraction is \(1010111_2\).
5. Cross-verify the subtraction for accuracy, tally with given options, and identify that the correct answer is 1010111.

Thus, the resultant of the binary subtraction \(1110101 - 0011110\) is 1010111.