Medina Kelley
07/03/2023 · Senior High School

Convert \( 2301_{16} \) to binary. 11111100111111110 0010001100000001 1111000011001010 0000001111110000

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To convert the hexadecimal number \( 2301_{16} \) to binary, we can convert each hexadecimal digit to its 4-bit binary equivalent. The hexadecimal digits and their binary equivalents are as follows: - \( 2_{16} = 0010_{2} \) - \( 3_{16} = 0011_{2} \) - \( 0_{16} = 0000_{2} \) - \( 1_{16} = 0001_{2} \) Now, we can combine these binary representations: \[ 2301_{16} = 2_{16} \, 3_{16} \, 0_{16} \, 1_{16} = 0010 \, 0011 \, 0000 \, 0001 \] Putting it all together, we get: \[ 2301_{16} = 0010001100000001_{2} \] Thus, the binary representation of \( 2301_{16} \) is \( 0010001100000001_{2} \). Among the options provided, the correct answer is: \[ \boxed{0010001100000001} \]

Quick Answer

The binary representation of \( 2301_{16} \) is \( 0010001100000001 \).
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