Basics / August 27, 2021

Other Base System to Non-Decimal System

StepsContentsExampleStep 1 : Convert to DecimalStep 2 : Convert Decimal to Binary ● Step 1 – Convert the original number to a decimal number (base 10). ● Step 2 – Convert the decimal number so obtained to the new base number. Example Octal Number : 258 Calculating Binary Equivalent: Step 1 : Convert to Decimal Step Octal Number Decimal […]

By Prabhu TL · August 27, 2021 · 1 min read

Steps

Contents

Example
Step 1 : Convert to Decimal
Step 2 : Convert Decimal to Binary

● Step 1 – Convert the original number to a decimal number (base 10).

● Step 2 – Convert the decimal number so obtained to the new base number.

Example

Octal Number : 25₈

Calculating Binary Equivalent:

Step 1 : Convert to Decimal

Step	Octal Number	Decimal Number
Step 1	25₈	((2 x 8¹) + (5 x 8⁰))₁₀
Step 2	25₈	(16 + 5 )₁₀
Step 3	25₈	21₁₀

Octal Number : 25₈ = Decimal Number : 21₁₀

Step 2 : Convert Decimal to Binary

Step	Operation	Result	Remainder
Step 1	21 / 2	10	1
Step 2	10 / 2	5	0
Step 3	5 / 2	2	1
Step 4	2 / 2	1	0
Step 5	1 / 2	0	1

Decimal Number : 21₁₀ = Binary Number : 10101₂

Octal Number : 25₈ = Binary Number : 10101₂