This document covers number system conversions, specifically converting decimal numbers to binary, octal, and hexadecimal formats. It includes examples demonstrating how to convert binary, octal, and hexadecimal numbers back to decimal as well. The base values for each number system are stated, which are crucial for understanding the conversions.

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