Question

Convert the following binary numbers into their decimal form 111 0010110

Answer 1

Answer:

• The decimal equivalent of the binary number (1110 0101 10)₂ is (918)₁₀

Solution:

Given Binary Number: (1110 0101 10)₂

The equivalent decimal number will be:

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

= 512 + 256 + 128 + 16 + 4 + 2

= (918)₁₀

Therefore:

> (1110 0101 10)₂ = (918)₁₀  (Answer)

Steps To Solve:

• Multiply each binary digits from left 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.