Medina Kelley
07/03/2023 · Senior High School
Convert \( 2301_{16} \) to binary. 11111100111111110 0010001100000001 1111000011001010 0000001111110000
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Step-by-step Solution
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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