Page 47 - computer science (868) class 11
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9.  Convert the following octal numbers to binary.
                       a.  (4573)                                      b.  (1771)
                                                                              8
                              8
                       c.  (655.25)                                    d.  (536.4)
                                8
                                                                              8
                       e.  (4245.2)
                                8
                    10.  Convert the following hexadecimal numbers to binary.
                       a.  (DEC)                                        b.  (FF98)
                                                                              16
                             16
                       c.  (5E.8)                                      d.  (D2B.C) 16
                              16
                       e.  (4F71.2)
                                16
                    11.  Perform binary addition for the following:
                       a.  (101010)  + (1101)                          b.  (111101010)  + (110110) 2
                                2
                                        2
                                                                                   2
                       c.  (110111.01)  + (111.11)                     d.  (1101101.11)  + (101.11) 2
                                           2
                                                                                   2
                                   2
                       e.  (110111111)  + (10111111)
                                   2          2
                    12.  Perform octal addition for the following:
                       a.  (354)  + (205)                              b.  (1266)  + (505) 8
                                                                              8
                             8
                                    8
                       c.  (1057.6)  + (2341.5)                        d.  (344.25)  + (56.25) 8
                                         8
                                8
                                                                               8
                       e.  (12347)  + (422)
                               8      8
                    13.  Perform hexadecimal addition for the following:
                       a.  (A67)  + (2175)                             b.  (B23C)  + (D16) 16
                                                                              16
                             16
                                      16
                       c.  (A9.CD)  + (5.EE)                           d.  (678.9)  + (ABC.D) 16
                                       16
                               16
                                                                              16
                       e.  (C24F)  + (19DE)
                              16      16
                    14.  Perform binary subtraction for the following using (i) Borrow method (ii) One’s complement method (iii) Two’s complement
                       method.
                       a.  (101010)  - (1101)                          b.  (111101010)  - (110110) 2
                                2
                                       2
                                                                                   2
                       c.  (110111.01)  - (111.11)                     d.  (1101101.11)  - (1001.01)
                                   2       2                                       2         2
                       e.  (110111)  - (10111111) 2
                                2
                    15.  Perform octal subtraction for the following using (i) Borrow method (ii) Seven’s complement method (iii) Eight’s complement
                       method.
                       a.  (4541)  - (205)                             b.  (12.66)  - (5.75) 8
                                    8
                              8
                                                                              8
                       c.  (1057.6)  - (2341.5)                        d.  (3445)  - (5625)
                                        8
                                                                                     8
                                8
                                                                              8
                       e.  (123.74)  - (46.5) 8
                                8
                    16.  Perform hexadecimal subtraction for the following using (i) Borrow method (ii) Fifteen’s complement method (iii) Sixteen’s com-
                       plement method.
                       a.  (B78)  - (8AB)                              b.  (B23C)  - (DF6) 16
                                                                              16
                             16
                                    16
                       c.  (A9.CD)  - (5.EE)                           d.  (678.9)   - (AFC.D) 16
                                      16
                               16
                                                                              16
                       e.  (C44)  - (19BB)
                             16      16
                 D.  Assertion and Reasoning Based Question.
                    Assertion: Decimal is one of the type popular number systems.
                    Reason: The base of a decimal number system is 2 and digits are 0 and 1.
                    (a)  Both Assertion and Reason are true, and Reason is the correct explanation for Assertion.
                    (b)  Both Assertion and Reason are true, but Reason is not the correct explanation for Assertion.
                    (c)   Assertion is true and Reason is false.
                    (d)  Assertion is false and Reason is true.
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