Question

The Decimal Equivalent of the Binary Number \((11010)_2\) is

• A. \((30)_{10}\)
• B. \((26)_{10}\)
• C. \((24)_{10}\)
• D. \((48)_{10}\)

Hint:

Binary numbers are converted using powers of 2.

Answer 1

The Correct Option is B

Concept:
Binary to decimal conversion uses powers of 2.
Step 1:
\[ (11010)_2 \] \[ =1\times2^4+1\times2^3+0\times2^2+1\times2^1+0\times2^0 \]
Step 2:
\[ =16+8+0+2+0 \]
Step 3:
\[ =26 \]
Step 4:
\[ \boxed{(11010)_2=(26)_{10}} \] \[ \boxed{\text{Correct Option = (2)}} \]