Question

Convert 1101.11 into its equivalent decimal number​

Answer 1

Answer:

1101.11=1101.110 then it finally converts into equivalent decimal no.

Answer 2

Given Binary number:

1101.11

Let's convert 1101.11 from Binary number to Decimal number:

Decimal calculation steps:

(1101.11)₂ = (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰) + (1 × 2⁻¹) + (1 × 2⁻²) = (13.75)₁₀

Therefore the Decimal number is:

13.75

Steps to convert binary to decimal:

For binary number with n digits:

dn-1 ... d3 d2 d1 d0

The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):

decimal = d0×2⁰ + d1×2¹ + d2×2² + ...

Example

Find the decimal value of 1110012:

binary number: 1 1 1 0 0 1

power of 2: 2⁵ 2⁴ 2³ 2² 2¹ 2⁰

1110012 = 1⋅2⁵+1⋅2⁴+1⋅2³+0⋅2²+0⋅2¹+1⋅2⁰ = 57 10