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CLASS : XI
COMPUTER SCIENCE(083) - PYTHON
https://computerassignmentsforu.com PART-2
NUMBER SYSTEM
CONVERT DECIMAL NUMBER TO BINARY NUMBER
CONVERT DECIMAL NUMBER TO OCTAL NUMBER
CONVERT DECIMAL NUMBER TO HEXADECIMAL NUMBER
In The previous Topic We Study :
Number System Conversion
TO CONVERT BINARY NUMBER TO DECIMAL NUMBER
TO CONVERT OCTAL NUMBER TO DECIMAL NUMBER
TO CONVERT HEXADECIMAL NUMBER TO DECIMAL NUMBER
Base value Of Binary: 2
Base value Of Octal: 8
Base value Of Hexadecimal: 16
Base value Of Decimal: 10
Base value Of Decimal: 10
Base value Of Decimal: 10
Convert binary NUMBER to decimal Number
Example:
(1011)2
0 1 1
From Right To Left
1 =
=
=
1 x 1 = 1
1 x 2 = 2
Total: 11
1
1
0
1
x
x
x
x
2
2
2
2
0
1
2
0 x 4 = 0
1 x 8 = 8
1
2
0
8
Add
=
3
1 2 0 8
=
How to prove decimal number binary is correct or not
(13)10 = (?)2
(1101)2
1 0 1
1 =
=
=
1 x 1 = 1
0 x 2 = 0
Total: 13
1
0
1
1
x
x
x
x
2
2
2
2
0
1
3
2
1 x 4 = 4
1 x 8 = 8=
So it’s proved
(1101)2 = ( ? ) 10
Convert octal NUMBER to decimal Number
Example:
(234)8
2 3 4
From Right To Left
4 =
=
=
Total: 156
3
2
x
x
x
8
8
8
0
1
2
4
24
128
4 x 1 = 4
3 x 8 = 24
2 x 64 = 128
(156)10=
4 24 128+ +
Add
Convert hexadecimal NUMBER to decimal Number
Example:
(A3B)16
A 3 B
From Right To Left
B =
=
=
Total:2595
3
A
x
x
x
16
16
16
0
1
2
11
24
2560
11 x 1 = 11
3 x 16 = 48
10 x 256= 2560
(2595)10=
11 24 2560+ +
Add

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Convert Number Systems: Binary, Octal, Hexadecimal & Decimal

  • 1. CLASS : XI COMPUTER SCIENCE(083) - PYTHON https://computerassignmentsforu.com PART-2 NUMBER SYSTEM
  • 2. CONVERT DECIMAL NUMBER TO BINARY NUMBER CONVERT DECIMAL NUMBER TO OCTAL NUMBER CONVERT DECIMAL NUMBER TO HEXADECIMAL NUMBER In The previous Topic We Study :
  • 3. Number System Conversion TO CONVERT BINARY NUMBER TO DECIMAL NUMBER TO CONVERT OCTAL NUMBER TO DECIMAL NUMBER TO CONVERT HEXADECIMAL NUMBER TO DECIMAL NUMBER Base value Of Binary: 2 Base value Of Octal: 8 Base value Of Hexadecimal: 16 Base value Of Decimal: 10 Base value Of Decimal: 10 Base value Of Decimal: 10
  • 4. Convert binary NUMBER to decimal Number Example: (1011)2 0 1 1 From Right To Left 1 = = = 1 x 1 = 1 1 x 2 = 2 Total: 11 1 1 0 1 x x x x 2 2 2 2 0 1 2 0 x 4 = 0 1 x 8 = 8 1 2 0 8 Add = 3 1 2 0 8 =
  • 5. How to prove decimal number binary is correct or not (13)10 = (?)2 (1101)2 1 0 1 1 = = = 1 x 1 = 1 0 x 2 = 0 Total: 13 1 0 1 1 x x x x 2 2 2 2 0 1 3 2 1 x 4 = 4 1 x 8 = 8= So it’s proved (1101)2 = ( ? ) 10
  • 6. Convert octal NUMBER to decimal Number Example: (234)8 2 3 4 From Right To Left 4 = = = Total: 156 3 2 x x x 8 8 8 0 1 2 4 24 128 4 x 1 = 4 3 x 8 = 24 2 x 64 = 128 (156)10= 4 24 128+ + Add
  • 7. Convert hexadecimal NUMBER to decimal Number Example: (A3B)16 A 3 B From Right To Left B = = = Total:2595 3 A x x x 16 16 16 0 1 2 11 24 2560 11 x 1 = 11 3 x 16 = 48 10 x 256= 2560 (2595)10= 11 24 2560+ + Add