Question

convert the binary number 101011001001 ²​

Answer 1

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

• The decimal equivalent of the given binary number (1010 1100 1001)₂ is (2761)₁₀

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

Given Binary Number: (1010 1100 1001)₂

The Decimal Equivalent of the number will be:

= (1 × 2¹¹) + (0 × 2¹⁰) + (1 × 2⁹) + (0 × 2⁸) + (1 × 2⁷) + (1 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰)

= 2048 + 0 + 512 + 0 + 128 + 64 + 0 + 0 + 8 + 0 + 0 + 1

= (2761)₁₀

Therefore:

> (1010 1100 1001)₂ = (2761)₁₀   (Answer)

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

• Multiply each binary digit starting from 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.

Answer 2

Answer:

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

Answer

:

The decimal equivalent of the given binary number (1010 1100 1001)₂ is (2761)₁₀

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

Solution

:

Given Binary Number: (1010 1100 1001)₂

The Decimal Equivalent of the number will be:

= (1 × 2¹¹) + (0 × 2¹⁰) + (1 × 2⁹) + (0 × 2⁸) + (1 × 2⁷) + (1 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰)

= 2048 + 0 + 512 + 0 + 128 + 64 + 0 + 0 + 8 + 0 + 0 + 1

= (2761)₁₀

Therefore:

> (1010 1100 1001)₂ = (2761)₁₀ (Answer)

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

Steps To Solve

:

Multiply each binary digit starting from 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.