Question

Q18. Decimal equivalent of Binary number 100011 is

33

34

35

36​

Answer 1

Answer.

• The decimal equivalent of the binary number (1000 11)₂ is (35)₁₀

Solution.

Given binary number - (1000 11)₂

The decimal equivalent of the number is,

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

= 32 + 0 + 0 + 0 + 2 + 1

= (35)₁₀ (Answer)

Steps.

• 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.