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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 of the following number systems is made up of only two digits?
(i) Decimal Number System (ii) Binary Number System
(iii) Octal Number System (iv) None of these
Number System 13

