In subtraction by 1’s complement we subtract two binary numbers using carried by 1’s complement.

**The
steps to be followed in** **subtraction by 1’s complement** **are:**

** **

i) To write down 1’s complement of the subtrahend.

ii) To add this with the minuend.

iii) If the result of addition has a carry over then it is dropped and an 1 is added in the last bit.

iv) If there is no carry over, then 1’s complement of the result of addition is obtained to get the final result and it is negative.

**(i) 110101 – 100101**

**Solution:**

1’s complement of 10011 is 011010. Hence

Minued - 1 1 0 1 0 11’s complement of subtrahend -

Carry over - 1 0 0 1 1 1 1

0 1 0 0 0 0

**The required difference is 10000**

**(ii) 101011 – 111001**

** **

**Solution:**

** **

1’s complement of 111001 is 000110. Hence

Minued - 1 0 1 0 1 11’s complement -

1 1 0 0 0 1

**Hence the difference is – 1 1 1
0**

**(iii) 1011.001 – 110.10**

**Solution:**

** **

1’s complement of 0110.100 is 1001.011 Hence

Minued - 1 0 1 1 . 0 0 11’s complement of subtrahend -

Carry over - 1 0 1 0 0 . 1 0 0

0 1 0 0 . 1 0 1

**Hence the required difference is
100.101**

**(iv) 10110.01 – 11010.10**

**Solution:**

** **

1’s complement of 11010.10 is 00101.01

1 0 1 1 0 . 0 11 1 0 1 1 . 1 0

**Hence the required difference is
– 00100.01 i.e. – 100.01**

- Decimal Number System

- Why Binary Numbers are Used

- Binary to Decimal Conversion

- Conversion of Numbers

- Hexa-decimal Number System

- Conversion of Binary Numbers to Octal or Hexa-decimal Numbers

- Octal and Hexa-Decimal Numbers

- Signed-magnitude Representation

- Radix Complement

- Diminished Radix Complement

- Arithmetic Operations of Binary Numbers

**From Subtraction by 1’s Complement to HOME PAGE**

**Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.**

## New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.