Shortcut method - Octal to Binary

Steps          

● Step 1 - Convert each octal digit to a 3 digit binary number (the octal digits may be treated as decimal for this conversion).

● Step 2 - Combine all the resulting binary groups (of 3 digits each) into a single binary number.

Example

Octal Number : 25₈

Calculating Binary Equivalent:

Step	Octal Number	Binary Number
Step 1	258	210 510
Step 2	258	0102 1012
Step 3	258	0101012

Octal Number : 25₈ = Binary Number : 10101₂