Find the decimal equivalent of the binary number 11001.011 ?

CONCEPT:

Conversion of Integral Binary Number into Decimal Number:

For converting binary number to decimal number, we start from the least significant bit i.e from right by multiplying them with the powers of 2 in increasing order, i.e with 2⁰, 2¹, … and so on. This process is repeated until the most significant bit i.e left bit has been processed.

Conversion of Fractional Binary Numbers into Decimal Number:

In order to convert the binary fractions to decimal numbers, we use negative powers of 2 to the right of the binary point.

CALCULATION:

Here, we have to find the decimal equivalent of the binary number 11001.011

⇒ 2^-3 × 1 + 2^-2 × 1 + 2^-1 × 0 + 2⁰ × 1 + 2¹ × 0 + 2² × 0 + 2³ × 1 + 2⁴ × 1

= 0.125 + 0.25 + 0 + 1 + 0 + 0 + 8 + 16 = 25.375

So, the  decimal equivalent of the binary number 11001.011 is (25.375)₁₀

Hence, option A is the correct answer.