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Concept of binary

Addition(+) of binary

0 + 1 = 1

1 + 1 = 10 or 0 up to 1

1 + 0 = 1

0 + 0 = 0

Substraction(-) of binary

0 - 1 = 1 take 1

1 - 1 = 0

1 -  0 = 1

0 - 0 = 0

Multiplication(X) of binary

0 X 1 =  0

1 X 1 = 1

1 X 0 = 0

0 X 0 = 0

Division(÷) of binary

0 ÷ 1 = 0

1 ÷ 1 = 1

1 ÷ 0 = 0

0 ÷ 0 = 0

                               8              4              2              1

10=                         1              0              1              0

13=                         1              1              0              1

 

 

 

  10                        1             0              1              0

+13         +             1              1              0              1

23                    1      0           1              1              1

 

 

 65                          1              0              0              0              0              0              1

-23                                          -              1              0              1              1              1

42                           0              1              0              1              0              1              0

 

 

 

 

 10                                         1              0              1              0

x13                             X          1              1              0              1

130                                       1              0              1              0

                             0              0              0              0

              1              0              1              0

    1          0              1              0                                            

10           0              0              0              0              1              0

 

 

For Example: 111011/11

 
      10011 r 10
    _______
  11)111011
    -11
     ______
       101
       -11
     ______
        101
         11
     ______
         10

 

 

 

Decimal NS

Hexa Decimal NS

Binary NS

0

0

0000

1

1

0001

2

2

0010

3

3

0011

4

4

0100

5

5

0101

6

6

0110

7

7

0111

8

8

1000

9

9

1001

10

A

1010

11

B

1011

12

C

1100

13

D

1101

14

E

1110

15

F

1111

 

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