Page 26 - Computer Class 06

Example 1 (12) = (1000) 2 Example 2 (21) = (10101) 2
10
10
2 12 0 Remainder 2 21 1
2 6 0 2 10 0
2 3 0 2 5 1

2 1 1 2 2 0
0 2 1 1
0

Conversion from Binary to Decimal Number System

Rules :

2
1
0
1. Multiply each digit of the binary number starting from right to left by 2 , 2 , 2 -
- - - -- respectively.
2. Sum up all the products to get result.

Example 1 : (1100) = (12)
2 10 Example 2 : (10101) = (21)
2
1 1 1 1 1 1 1 1 1
2 3 2 2 2 1 2 0 2 4 2 3 2 2 2 1 2 0
8 4 2 1 16 8 4 2 1
(1x8)+(1x4)+(0x2)+(0x1)
(1x16)+(0x8)+(1x4)+(0x2)+(1x1)
8 + 4 + 0 + 0
1 6 + 0 + 4 + 0 + 1
= 12 21
Conversion from Decimal to Octal Number System

Rules :

1. Divide the given number with the base of octal number i.e. 8.

2. Write down the remainder and divide the quotient again by 8.

3. Repeat the step 2 till the quotient becomes 0.

Example 1 : (65) = (101) 8 Example 2 : (99) = (143) 8
10
10
8 65 1 8 99 3
8 8 0 8 12 4
1 1

Conversion from Octal to Decimal Number System

Rules :
1
2
0
1. Multiply each digit of the octal number starting from right to left by 8 , 8 , 8 - -
- - - respectively.

Computer-6 26 Computer-1