Page 16 - Trackpad_V4.0_c7_Flpbook
P. 16

Example 2: Convert the decimal number 64, i.e., (64)  to binary.
                                                                    10
                                                         2  64
                                                         2  32            → 0

                                                         2  16            → 0
                                                         2    8            → 0
                                                         2    4            → 0

                                                         2    2            → 0
                                                               1            → 0

              The binary equivalent of (64)  is 1000000
                                            10
              In other words, (64)  = (1000000)  2
                                  10


                        Interdisciplinary Learning                                                        Activity

                  Write the distance between your school and home in km.
                  Convert this distance in:

                  meter                             binary number system





              BINARY TO DECIMAL CONVERSION

              To convert a binary number into a decimal number, follow these steps:

                  Start from the right-most digit known as the LSD before the fractional point and move leftwards.
                   While doing so, multiply each digit by 2 raised to a particular power. The powers of 2 start at 0 and
                 increase to 1, 2, and so on as you move leftward.

                  Add up all the resulting products. You will get your decimal number.

              The given examples will help you understand the conversion.

              Example 1: Convert (1111)  to decimal number.
                                          2
                                                2
                                        3
                                                                0
                                                        1
                              = 1 × 2  + 1 × 2  + 1 × 2  + 1 × 2
                              = 8 + 4 + 2 + 1
                                   = 15

                         (1111)  = (15) 10
                                2
              Example 2: Convert (10111)  to decimal number.
                                           2
                         = 1 × 2  + 0 × 2  + 1 × 2  + 1 × 2  + 1 × 2 0
                                                         1
                                4
                                                2
                                        3
                         = 16 + 0 + 4 + 2 + 1
                         = 23
                (10111)  = (23) 10
                       2


                        Premium Edition-VII
                 14
   11   12   13   14   15   16   17   18   19   20   21