Decimals to Binary & Binary to Decimals – Computers YouTube Lecture Handouts for Punjab PSC

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Watch video lecture on YouTube: Converting Decimal To Binary & Binary to Decimal - 2 Simple Tricks: Computers Converting Decimal to Binary & Binary to Decimal - 2 Simple Tricks: Computers
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Binary: Base-2 Numeral System with 0 and 1

Decimal: Base-10

Image of Whole Numbers And Decimal Fractions

Image of Whole Numbers and Decimal Fractions

Image of Whole Numbers And Decimal Fractions

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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