(35) BINARY ARITHMETIC

 BINARY ARITHMETIC

1. Addition

         2. Subtraction

         3. Multiplication

         4. Division

                          ADDITON

Binary addition

 

0+0=0

1+0=0

0+1=0

1+1=0   Plus a carry to next high column

1.             101       2.      1101         3.      1011         4.      1111

           +100              +1101                         +1111                        +1111

           1001              11010                         11010                        11110

                                                            5.      110110101

                                                                       +111111111

                                                                           110110100

                 SUBTRACTION

Binary Subtraction

0-0=0

1-0=1

1-1=0

0-1=1        With borrow from next column

1.      110           2.      1001          3.      1000         4.      101010

            -101                      -111                   -111                           -11111

               001                     010                    001                    01011

                                                            5.      1110

                                                                         -0101

                                           1001

MULTIPLICATION

Binary Multiplication

0*0=0

1*0=0

0*1=0

1*1=1                                         3.      1110101

1.             1111     2.      11111                  *11111

*101              *1111                1110101

                      1111              11111              1110101*

           0000*            11111*             1110101* 

               1111*            11111*            1110101* 

       1001011        11111*            1110101*      

                             11110001       1110001011

DIVISION

Binary division

0/0=0

1/1=0

1.   11)100001(1011                2.      100)100001(1000.01

            11                                      100

           00100                                      ***00100

                 11                                               100

    0011                                               ***

                              11

                          ***

3.  101)100001(110.1                 4.      10)11101(1110.1

                     101                                      10

             00110                                  011

                            101                                    10

                              00110                                 010

                                     101                                   10

                                     001                                   **10

                                                                                                                   10    

                                                                                                                    **