Decimals to Binary & Binary to Decimals – Computers YouTube Lecture Handouts for Punjab PSC
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Binary: Base2 Numeral System with 0 and 1
Decimal: Base10
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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