Question

The product of \( 0110_2 \) and \( 0110_2 \) is _____.

• A. \( 011100 \)
• B. \( 110110 \)
• C. \( 100100 \)
• D. \( 011011 \)

Hint:

To multiply binary numbers, convert them to decimal, perform the multiplication, and convert the result back to binary.

Answer 1

The Correct Option is C

Step 1: Convert the binary numbers to decimal. First, convert the binary numbers to decimal: \[ 0110_2 = 6_{10}, \quad 0110_2 = 6_{10} \] Now, multiply the decimal numbers: \[ 6 \times 6 = 36 \] Next, convert the decimal result back to binary: \[ 36_{10} = 100100_2 \] Thus, the product of \( 0110_2 \) and \( 0110_2 \) is \( 100100_2 \). \[ \text{Answer: } 100100_2 \]