# Octal to Binary Conversion in dld digital logic design

### Octal to Binary Conversion • Each digit of the Octal number is replaced by an equivalent binary string of 3-bits.

Example 1:

Problem:

How to convert this 5265666 number into its Binary equivalent?

Solution:

Step 1: Separate each of the Octal number

• 5        2          6           5         6          6           6

Step 2:

Replace  each octal number with a number by its Octal equivalent.

•   5        2          6           5         6          6           6
•   101        010           110            101          110           110            110

See the table below to understand that how these octal numbers are converted into binary number.

Note: Binary strings which can not be divided into equal number of 3- bit groups are supposed to have 0’s  in the left of the bits.

Example 2:

Problem:

How to convert this 3265646 number into its Binary equivalent?

Solution:

Step 1: Separate each of the Octal number

• 3        2          6           5         6          4           6

Step 2:

Replace  each octal number with a number by its Octal equivalent.

•   3        2          6           5         6          4           6
•   011        010           110            101          110           100            110

See the table below to understand that how these octal numbers are converted into binary number.

 Decimal Binary Octal 0 000 0 1 001 1 2 010 2 3 011 3 4 100 4 5 101 5 6 110 6 7 111 7 Prof.Fazal Rehman Shamil (Available for Professional Discussions)
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