# Decimals to Binary & Binary to Decimals – Computers YouTube Lecture Handouts for IAS

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## 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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