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4.  The octal number system is used as a shorthand representation
                        of long binary numbers.                                                       ................................

                     5.  The hexadecimal number system consists of 16 digits.                         ................................

                                                       Section B (Subjective)

                 A.  Short answer type questions:
                     1.  What is an octal number system?
                     2.  What do you understand by the number system?
                     3.  What do you mean by base in a number system? Give an example.

                 B.  Long answer type questions:
                     1.  What are the rules for converting a decimal number into a binary number?

                     2.  How can we convert a binary number into a decimal number? Give an example.
                     3.  Write the rules to subtract two binary numbers.

                 C.  Competency-based/Application-based questions:
                     1.   Kartik noticed the following numbers while working, (256)  and (10001) . Which number system
                                                                                8             2
                        do they belong to? How can he tell?

                     2.   A number system has made the representation of large values easy. It is made up of 16 symbols
                        0 to 9, and A to F. Which number system are we talking about?
                 D.  Solve the following:

                     1.  Convert (10111.011)  into its decimal equivalent.
                                           2
                     2.  Add the following binary numbers:
                        a. (1011)  and (101)          b. (1001)  and (101)
                                2          2                  2          2
                        c. (1111)  and (1111)         d. (11001)  and (10101)
                                2           2                   2            2
                     3.  Convert the following decimal numbers into binary:
                        a. (39)     b. (72)     c. (128)     d. (55)     e. (173)
                              10            10             10             10             10

                                                                                   #Problem Solving & Logical Reasoning
                          Crack The Code                                           #Coding and Computational Thinking


                  A.  Convert these into the given number system and write their results.
                      1.   (101)  to decimal number system                   __________
                              2
                      2.   (250)  to binary number system                    __________
                              10
                      3.   (101011)  to decimal number system                __________
                                 2
                      4.   (10111011)  to decimal number system              __________
                                    2
                  B.   Perform the following operations on binary numbers:
                      1.  Subtract (1101)  from (100110)                     __________
                                        2              2
                      2.  Add (1000)  and (101)                              __________
                                    2         2



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                                                                                               Number System
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