Binary Operation

Binary Operation

Binary operation that only focus in addition, subtraction, multiplication and division. Binary number operation is different with the normal mathematic operation. Binary number only contains TWO number which are 0 or 1.

Binary Addition

In the mathematic operation, if 1+1=2 but in binary operation 1+1=10. This is because there are only 1 and 0 in this operation.

Example 1

Binary Rules

0+0=0

0+1=1

1+0=0

1+1=10

1+1+1=100

1+1+1+1=1000

Example 2

1    1<--------------------this is call carried bit         1    0   1  +           1    1          1   0   0   0

 

Binary Subtraction

Example 1

In the mathematic operation, if 12-9=3 that is because 2 borrow the left side digit to minus 3. It is also same with binary subtraction operation 100-1=11 also borrow from left side number.

Binary Rules

0-0=0

1-0=1

0-1=1 (This must borrow from next binary number)

1-1=0

10-1=1

100-1=11

1000-1=111

Example 2

1   1    1<-------it can minus 1 when borrow from left side number       1    0    1   0 -                      1   1                   1   1   1

 

Binary Multiplication

Binary Multiplication is almost same with mathematic operation multiplication.

Example 1

Binary Rules

0x0=0

1x0=0

0x1=0

1x1=1

10x0=0

100x0=0

100x1=100

Example 2

1   1    1             x       1    1   0                             0    }         1   1   1   0    }  must use binary addition operation to solve             1   1   1   0   0    }  this step        1   0   1   1   1   0    }

 

Binary Division

The binary operation division only have a bit different with mathematic operation division. The different step is only when minus the number.

1      1                  1   1  / 1   0   1   1  -      1   1                   1   0   1  -    1   1                 1   0               This is remainder