Number Complements - Free MCQ Practice Test with solutions, GATE EE Digital

2’s complement of a binary number is obtained by finding the 1’s complement of the number and then adding 1 to it.
2’s complement of 11001011 = 00110100 + 1 = 00110101.

Steps For Subtraction using 2’s complement are:
→ 2’s complement of the subtrahend is determined and added to the minuend.
→ If the result has a carry, then it is dropped and the result is positive.
→ Else, if there is no carry, then 2’s complement of the result is found out and a ‘-’ sign preceeds the result.

Answer: 1000011

Steps for Binary Addition Using 2’s complement:
→ The binary equivalent of the two numbers are obtained and added using the rules of binary addition.

The BCD form is written of the two given numbers, in their signed form. After which, normal binary addition is performed.
Augend is 28 and Subtrahend is -46.

Steps For Subtraction using 2’s complement are:
→ 2’s complement of the subtrahend is determined and added to the minuend.
→ If the result has a carry, then it is dropped and the result is positive.
→ Else, if there is no carry, then 2’s complement of the result is found out and a ‘-’ sign preceeds the result.

1’s complement of a binary number is obtained by reversing the binary bits. All the 1’s to 0’s and 0’s to 1’s.
Thus, 1’s complement of 1011101 = 0100010.

Steps For Subtraction using 1’s complement are:
→ 1’s complement of the subtrahend is determined and added to the minuend.
→ If the result has a carry, then it is dropped and 1 is added to the last bit of the result.
→ Else, if there is no carry, then 1’s complement of the result is found out and a ‘-’ sign preceeds the result.

Steps For Subtraction using 2’s complement are:
→ 2’s complement of the subtrahend is determined and added to the minuend.
→ If the result has a carry, then it is dropped and the result is positive.
→ Else, if there is no carry, then 2’s complement of the result is found out and a ‘-’ sign preceeds the result.

Steps for Binary Addition Using 2’s complement:
→ The 2’s complement of the addend is found out and added to the first number.
→ The result is the 2’s complement of the sum obtained.

The BCD form is written of the two given numbers, in their signed form. After which, normal binary addition is performed.
Augend is -40 and Subtrahend is -33.

Since, there is no carry, so answer will be negative  and 2's complement of the above result is determined.