Question

convert binary into decimal no. 111100001 with solution​

Answer 1

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

• The decimal equivalent of the given binary number (1111 0000 1)₂ is (481)₁₀

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

Given Binary Number: (1111 0000 1)₂

The Decimal Equivalent of the number will be:

= (1 × 2⁸) + (1 × 2⁷) + (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰)

= 256 + 128 + 64 + 32 + 0 + 0 + 0 + 0 + 1

= 256 + 128 + 64 + 32 + 1

= (481)₁₀ (Answer)

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

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