# Decimals to Binary & Binary to Decimals – Computers YouTube Lecture Handouts for Competitive Exams

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Converting Decimal to Binary & Binary to Decimal - 2 Simple Tricks: Computers

## Binary: Base-2 Numeral System with 0 and 1

## Decimal: Base-10

## Decimal Expansion

## Binary to Decimal

Solving this we get,

Let’s work around converting numbers

## Decimal to Binary

Without Decimal Fraction

Move from Bottom to Top

Example 1:

29 to binary

Answer will be

Example 2

*:*107 to binary

Answer will be

With Decimal Fraction

Move from Top to Bottom

Example 1:

Working with 0.40625

Answer will be

Example 2:

Working with 0.15

Answer will be

## Binary to Decimal

Without Binary Fraction

Example 1:

101 to Decimal

Answer will be 5

Example 2:

11001 to Decimal

Answer will be 25

With Binary Fraction

Remember

Example 1:

0.11 to Decimal

Answer will be 0.75

Example 2:

0.1011 to Decimal

Answer will be 0.6875

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