Concept map for Number system

Try to create concept maps by following this document

1. ICT A/L O/L Pramodya Kodikara(070 200 62 63 ) Regency – Matale Isurusara – Matale



























Conversion of other bases to Decimal numbers bases



 Numbers and Alphabetic characters used
Number
System
Base
value
Number of
symbols in
the number
system (n)
Highet
value’s
symbol
(n-1)
Number and Alphabetic
character used
Binary 2 2 1 0,1,
Octal 8 8 7 0,1,2,3,4,5,6,7
Decimal 10 10 9 0,1,2,3,4,5,6,7,8,9
Hexa-
decimal
16 16 F (15) 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F



What Is Number System ?
 The number system is the system of
naming or representing numbers.
 There are various types of number systems
in maths like binary, decimal, etc.


1 2
 Most Significant Digit (MSD) and Least
Significant Digit (LSD)
5023
3

Most Significant Bit (MSB) and Least
Significant Bit (LSB)
110011 2

4
Converting Binary, Octal and Hexadecimal Numbers to Decimal Numbers

Binary Octal

Hexadecimal

Binary To Decimal
110110111 2 = 439
Octal To Decimal
5468=358

Hexadecimal To Decimal
456D16=17773

Converting Decimal Numbers to Binary, Octal and Hexadecimal Numbers (214 10 to other bases)


Decimal To Binary
11010110
Decimal To Octal
326
Decimal To Hexadecimal
D6
6
5
7
2
0
=1
2
1
=2
2
2
=4
2
3
=8
2
4
=16
2
5
=32
2
6
=64
2
7
=128
2
8
=256
2
9
=512
2
10
=1024

8
0
=1
8
1
=8
8
2
=64
8
3
=512
8
4
=4096
8
5
=32768
16
0
=1
16
1
=16
16
2
=256
16
3
=4096
16
4
=65536
16
5
=1048576
Unit 03
Data Reprentation of
Computer
(Number System)

2. ICT A/L O/L Pramodya Kodikara(070 200 62 63 ) Regency – Matale Isurusara – Matale



























Convert helper


8
Converting Binary Numbers to Octal Numbers &
Converting Binary Numbers to Hexadecimal Numbers


9
Convert binary numbers to Octal number
1) 11010112

10
Convert binary numbers to Hexadecimal number
1) 11010112

11
Converting Octal numbers to binary numbers
465 8=
12
Converting Hexadecimal Numbers to Binary Numbers
46A5 16=


13

3. ICT A/L O/L Pramodya Kodikara(070 200 62 63 ) Regency – Matale Isurusara – Matale










Converting Octal Numbers to Hexadecimal Numbers


Converting Hexadecimal Numbers to Octal Numbers
15 14
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