There are two method finding of 2’s complement

**(Most common method)**

**Method – I**

** How to Find 2’s Complement by Method-I**

**Step -1: **Take 1’s complement of each digit.(Opposite all the bits from 0 to 1 and 1 to 0 for making it in 1’s complement.

**Step- 2: **ADD one in the LSB(Least significant bit) as shown above in the diagram.

**Step-3: **Then it becomes in the form of 2’s complement.

**(MOST TRICKY METHOD you never seen before)**

**Method – II**

**How to Find 2’s Complement by Method-I**I

**Step -1: **Write all the digit the same as the given bit until found 1. When you see 1 in the given bit, write that 1.

**Step -2 **After founding 1, oppose all the bits from 1 to 0 and 0 to 1, for converting it into 2’s complement.

**Step -3 **Now, you can see the whole digit converted into 2’s complement.

**One more example of Method- II**

**Operation with 2’s complement **

**Case-1**: Addition of two Positive value +5 and +2**+5**Represents in binary**( 1 0 1 )****+2**Represents in binary**( 0 1 0 )**

_{Note }– _{Computer is not understood – (negative) values so, for doing negative calculation the digit change into 2’s complement through the above method. If after calculation the result gives MSB bit 0 it denotes a positive value and if the result gives MSB bit 1 it means the value of the result is negative.}

**Case-**2: Subtraction of two value +5 and -2**+5**Represents in binary (**1 0 1 )****+2**Represents in binary**( 0 1 0 )**

- Convert +2 into -2 using 2’s complement
**-2**Represents in binary**( 1 1 0 )**

**Case-**3: Subtraction of two value -5 and -2**-5**Represents in binary (**0 1 1 )****-2**Represents in binary**( 1 1 0 )**