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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. Which number represents the base of the binary number system?
(i) 2 (ii) 8
(iii) 10 (iv) 16
Number System 13

