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

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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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-Mayank