Octal to Binary Conversion in dld digital logic design

By: Prof. Dr. Fazal Rehman | Last updated: March 3, 2022

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.