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

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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