Question

Convert (110111001)² binary number to equivalent form.​

Answer 1

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

• The decimal equivalent of (1101 1100 1)₂ is (441)₂

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

Given binary number: (1101 1100 1)₂

The decimal equivalent of the number will be:

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

= 256 + 128 + 0 + 32 + 16 + 8 + 1

= (441)₁₀ (Answer)

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

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