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What is the decimal equivalent of the binary (1010)2?
1. 12
2. 8
3. 10
4. 7

1 Answer

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Best answer
Correct Answer - Option 3 : 10

Concept:

To convert any number system into the decimal number system, multiply each position by its weight and add.

For example:

\(\begin{array}{*{20}{c}} x\\ \downarrow \\ {{b^2}} \end{array}\;\begin{array}{*{20}{c}} y\\ \downarrow \\ {{b^1}} \end{array}\;\begin{array}{*{20}{c}} z\\ \downarrow \\ {{b^0}} \end{array}\)

Analysis:

(1010)= [(1 × 23) + (0 × 22) + (1 × 21 ) + (0 × 20)]10

= (10)10

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