Page 27 - Computer Class 06

2. Sum up all the products to get result.

Example 1 : (102) = (66) 10 Example 2 : (122) = (82) 10
8
8
1 2 2
1 0 2 2 1 0
8 2 8 1 8 0 8 8 8
64 0 1 64 + 8 + 1
(1×64)+(2×8)+(2×1)
(1×64)+(0×8)+(2×1)
64 + 16 + 2
64 + 0 + 2
= 82
= 66

Conversion from Binary to Octal Number System

Rules :
1. To convert a binary number into octal, divide it into groups of three digits

starting from right to left.
2. If the number of digits is not a multiple of 3, prefix the number with 0’s so that

each group contains three digits.
3. For each three digit group, convert the 3 bit binary number into an equivalent

octal digit.

Example 1 : (111101) = (75) Example 2 : (10101011) = (253)
2 8 2 8
111 101 010 101 011
7 5 2 5 3

75 253
Conversion from Octal to Binary Number System

Rules :

To convert an octal number to binary, first convert the octal into decimal and then
decimal number into binary.

Example 1 : (54) = (101100) 2 Step 2 : (44) = (101100) 2
8
10
Step 1 : (54) = (44)
8 10 2 44 0
5 4 2 22 0
8 1 8 0 2 11 1
8 1 2 5 1
2 2
(5x8)+(4x1) 0
1
40 + 4

= 44
Answer : (54) = (44) = (101100) 2
10
8

Computer-6 27