Basic HTML Version

|  | Table of Contents |  | View Full Version

Page 17 - 2610_Springdales_C-7
P. 17

    Topic Flashback                                                         21 st  Century
                                                                                                        Skills  #Critical Thinking
                          1.  Convert the binary number 1000 into decimal.

                          2.  Convert decimal number 30 into binary.

                     OPERATIONS ON BINARY NUMBERS

                     Let's learn the basic operations on binary numbers.

                     Binary Addition

                     Binary addition is similar to adding decimal numbers. When the value of addition exceeds the value 1,
                     say 10 or 11, then 1 is carried over to the left of the current position. The rules for adding two binary
                     digits are given below:

                                                      X             Y               X + Y

                                                      0              0            0 + 0 = 0
                                                      0              1            0 + 1 = 1
                                                      1              0            1 + 0 = 1

                                                      1              1       1 + 1 = 10 (carry 1)

                     For example, let us add the binary numbers (101111)  and (10111) .
                                                                                        2
                                                                           2
                                                          1    1  1  1  1    _____  Carry bits
                                                          1    0  1  1  1  1

                                                      +        1  0  1  1  1
                                                      1  0     0  0  1  1  0

                                                                                                     Number System      15

| 12 13 14 15 16 17 18 19 20 21 22 |