Basic HTML Version

|  | Table of Contents |  | View Full Version

Page 15 - 2612_Digimind
P. 15

    For example, let us subtract the binary number (111)  from (1000) .
                                                                           2
                                                                                         2
                                                              1     1
                                                                             _____
                                                         0  (10)  (10)  (10)       Borrow
                                                         1    0    0     0
                                                     –        1     1    1

                                                         0    0    0     1

                                                                                                             21 st
                                                              Self Reflection                              Century   #Initiative
                                                                                                            Skills
                        Your classmate is facing trouble to understand the different number systems. He is having a hard time doing
                                                              Self Reflection
                        calculations and converting numbers into different number systems. Will you help him by teaching all the
                        steps in detail?

                            Hashtag

                          # Number System: Way to express quantities used for counting, comparing amounts, performing
                           calculations and representing values
                          #Conversion: Process of changing or causing something to change from one state to another

                          REVISIT

                       ▶   The smallest piece of data that can be recognised and used by the computer is known as a bit or a binary
                         digit.
                       ▶   A number system is a way to express quantities used for counting, comparing amounts, performing
                         calculations and representing values.
                       ▶   A number system made up of ten symbols, 0 to 9, is known as the decimal number system.
                       ▶   A number system made up of only two symbols, 0 and 1, is known as the binary number system.
                       ▶   A number system made up of eight symbols, 0 to 7, is known as the octal number system.
                       ▶   A number system made up of sixteen symbols, 0 to 9 and A to F, is known as the hexadecimal number system.

                     1.  Tick ( ) the correct option.
                        a.   A student is learning about different number systems in computer studies. While coding, the student
                           is told to use a number system that works with only two digits, 0 and 1. Which number represents
                           the base of this number system?

                            (i)  2                                            (ii)  8

                           (iii)  10                                          (iv)  16

                                                                                                      Number System   13

| 10 11 12 13 14 15 16 17 18 19 20 |