Question

The decimal equivalent of the binary number 10011.1 is

• A. 19.50
• B. 11001.11
• C. 5005.55
• D. 19.10

Hint:

Binary digits after decimal are negative powers of 2.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Convert binary to decimal: each digit \(\times 2^n\).
Step 2: Detailed Explanation:
\(10011.1_2 = 1 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 + 1 \times 2^{-1}\)
= \(16 + 0 + 0 + 2 + 1 + 0.5 = 19.5\)
Step 3: Final Answer:
19.50.