Question

The quotient, if the binary number \(11010111\) is divided by \(101\), is

• A. \(101011\)
• B. \(101010\)
• C. \(101101\)
• D. \(111001\)

Hint:

To divide binary numbers, convert to decimal, divide, then reconvert to binary.

Answer 1

The Correct Option is A

Step 1: Convert binary values to decimal.
Dividend: \(11010111_2 = 215_{10}\), Divisor: \(101_2 = 5_{10}\)
Step 2: Perform decimal division.
\(215 \div 5 = 43\), remainder 0
Step 3: Convert quotient back to binary.
\(43_{10} = 101011_2\)