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the product of 0110 2 and 0110 2 is
Question:
The product of \( 0110_2 \) and \( 0110_2 \) is _____.
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To multiply binary numbers, convert them to decimal, perform the multiplication, and convert the result back to binary.
Karnataka PGCET - 2024
Karnataka PGCET
Updated On:
Jun 16, 2025
\( 011100 \)
\( 110110 \)
\( 100100 \)
\( 011011 \)
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The Correct Option is
C
Solution and Explanation
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 \( 100100_2 \). \[ \text{Answer: } 100100_2 \]
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