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

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## Decimal: Base-10 Whole Numbers and Decimal Fractions

## 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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