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3.  Write the rules to subtract two binary numbers.

                         ...................................................................................................................................................................................

                         ...................................................................................................................................................................................

                         ...................................................................................................................................................................................

                  C.  Solve the following:

                      1.  Convert the binary number (1101)  into a decimal number.
                                                             2
                      2.  Add the following binary numbers:

                         a. Add (1011)  and (0011) .                      ......................................................................................
                                       2            2
                         b. Add (1100)  and (0110) .                      ......................................................................................
                                       2            2
                         c. Add (1111)  and (1001) .                      ......................................................................................
                                       2            2
                         d. Add (1010)  and (1101) .                      ......................................................................................
                                       2            2
                      3.  Subtract (0110)  from (1010) .                  ......................................................................................
                                         2             2
                      4.  Convert the following decimal number to binary:

                         a. (45)                                          ......................................................................................
                               10
                         b. (91)                                          ......................................................................................
                                10
                         c. (250)                                         ......................................................................................
                                 10
                         d. (37)                                          ......................................................................................
                                10
                         e. (89)                                          ......................................................................................
                               10
                  D.  Application-based questions.

                      1.  Sonia is working on a project that involves different number systems. Her teacher asks
                         her to explain why computers prefer to use the binary number system instead of the
                         decimal number system. Can you help Sonia explain the reason behind this preference?

                      2.  Sara encounters a value in hexadecimal, such as (F5)₁₆, and needs to explain
                         what symbols like 'F' represent. Can you help her understand how letters
                         A to F are used in the hexadecimal system?





                                                                                   #Interdisciplinary
                  Higher Order Thinking Skills (HOTS)

                      1.  Why is it essential to understand different number systems in computing?

                      2.  Give one advantage of both the binary and hexadecimal systems.






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