ARITHMETIC OPERATIONS ON BINARY NUMBER

Binary arithmetic is simpler to learn because binary number system deals with only two digits - 0 and 1. Binary number perform all arithmetic operation such as Addition, Substraction, Multiplication and compliment as in decimal number system.

Binary Addition

The addition table for binary arithmetic consist of only the following four entries:

0+0=0

0+1=1

1+0=1

1+1=0 , plus a carry of 1 to the next column.

    1011       
+ 1100
   10111

   1100

   +1100

    11000

Binary Substraction

There are three ways to do substraction between binary numbers:-
1. Simple Substraction
2. Substraction using 1's Complement
3. Substraction using 2's Complement
Simple Substraction: The complete table of binary substraction is as follows:
0-0=0
0-1=1, borrow 1 from next column
1-0=1
1-1=0
   1101
- 0101

  1000 

   1001

 - 0111
   0010
Substraction using 1'st Complement
We can do substraction using 1's complement. the steps are gi ven below:-
1. First we have to change the 2nd number(which is to substract) into 1's complement.
2. Here 1's complement mean exchanging the digit value mean convert '1' into '0' and '0' into '1' .
3. and perform addition operation on first number and the converted 1's complement number.
4. if we get an extra bit then ignore the extra bit and add 1 in the get result (after addition) to get final result.
5. If we can't get an extra bit then we again do 1's complement  to get final result.