Page 85 - Electrician - TT (Volume 2)
P. 85

ELECTRICIAN - CITS




                                              Decimal                  Binary

                                               0                      0000
                                               1                      0001
                                               2                      0010

                                               3                      0011
                                               4                      0100
                                               5                      0101
                                               6                      0110
                                               7                      0111

                                               8                      1000
                                               9                      1001
                                               10                     1010
                                               11                     1011
                                               12                     1100

                                               13                     1101
                                               14                     1110
                                               15                     1111


           Addition of binary numbers
                  Sum                   Carry
                  0 + 0 = 0             0
                  1 + 0 = 1             0
                  0 + 1 = 1             0

                  1 + 1 = 0             1 (one plus one is equal to zero with carry one)
              Ex: 1      Ex: 2
                  1 0    1 + 1 + 1 =  1

                  +  1 1        + 1     (One plus one plus one is equal to one with carry one)
                                 10
                                + 1
                  1 0 1         11
           Hexadecimal number system: In hexadecimal system there are 16 characters. They are 0,1,2,3,4,5,6,7,8,9,
           A,B,C,D,E,F where A=10, B=11, C=12, D=13, E=14, F=15 in decimal. In this system, the base is 16. This system
           is mainly used to develop programmes for computers.
           For Example
              [23]  = [35]   ; 16  X 2 + 16° X 3 = 32 + 3 = 35;
                              1
                 16
                        10
              [2C]  = [44]  ;16  x 2 + 16° x 12 = 32 + 12 = 44;
                             1
                 16
                        10
           Decimal to hexadecimal conversions
           The conversion of decimal to hexadecimal is similar to binary conversion. Only difference is that divide the decimal
           number successively by 16, and note down the remainder.



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                                    CITS : Power - Electrician & Wireman - Lesson 60-69
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