Question

Convert (111012)2 into decimal

Answer 1

$\textsf{\large{\underline{Answer}:}}$

• The decimal equivalent of the given binary number (1110 1)₂ is (29)₁₀

$\textsf{\large{\underline{Solution}:}}$

Given Binary Number: (1110 1)₂

The decimal equivalent of the number will be:

= (1 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰)

= 16 + 8 + 4 + 0 + 1

= (29)₁₀ (Answer)

⊕ Therefore the decimal equivalent of the binary number is (29)₁₀

$\textsf{\large{\underline{Steps To Solve}:}}$

1. Multiply each binary digit with the successive powers of 2 (starting with 0).
2. Add the products obtained after multiplication.
3. Result obtained will be the decimal equivalent of the given binary number.