Page 262 - FUNDAMENTALS OF COMPUTER
P. 262

NPP













                   262                         Fundamentals of Computers                           NPP


                  (c) –17 is a negative  integer  and it  can  be  (c)
                      represented in three ways. For this first we
                      will obtain  8-bit representation of +17
                      which is :
                                                        00010001
                      Representation of –17 in 3 ways is obtained:

                  1.  Signed-magnitude : just complement sign                       MSB
                      bit:
                                                        10010001
                  2.  Signed  - 1's complement :  Take  1's               1's                        1's
                      complement including sign bit :
                                                        11101110
                  3.  Signed-  2's complement  : Take  2's                2's                        2's
                      complement of complete number :
                                                        11101111
                  (d) – 63 can be represented using + 63 which  (d)
                      is 00111111

                                 1. Signed-magnitude → 10111111        gmBÝS>-_op½ZQ²>`yS>
                                 2. Signed- 1's complement → 11000000   gmBÝS>- 1's H$m°påßb_|Q
                                 3. Signed- 2's complement  →11000001   gmBÝS>- 2's H$m°påßb_|Q

                      The following tree represents different
                  types of  integer  numbers  and their
                  representation :


                                                     Integer





                          Unsigned Integer                   Signed Integer
                              (Magnitude
                              Representation)

                                                 Positive Integer         Negative Integer


                                                                         Signed-Magnitude
                                                 Signed-Magnitude
                                                                         Signed- 1's Complement
                                                                                1's
                                                                         Signed- 2's Complement
                                                                                2's
   257   258   259   260   261   262   263   264   265   266   267