Question

Convert binary to decimal (11101)

Answer 1

Answer.

• (11101)₂ = (29)₁₀

Solution.

⊕ Given binary number - (11101)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,

> (11101)₂ = (29)₁₀

Steps To Convert.

• Multiply each binary digit from the last with the successive powers of two (starting with 0) and add them up.
• Result obtained will be the decimal equivalent of the binary number.

Answer 2

Answer:-

$\\ \sf\longmapsto (11101)_2$

$\\ \sf\longmapsto (1\times 2^4)+(1\times 2^3)+(1\times 2^2)+(0\times 2^1)+(1\times 2^0)$

$\\ \sf\longmapsto (1\times 16)+(1\times 8)+(1\times 4)+(0\times 2)+(1\times +1)$

$\\ \sf\longmapsto 16+8+4+0+1$

$\\ \sf\longmapsto 24+5$

$\\ \sf\longmapsto (29)_{10}$