Convert the hexadecimal number BACDE to binary.
Understand the Problem
The question asks to convert the hexadecimal number BACDE to its binary equivalent. This requires understanding hexadecimal and binary number systems, and how to convert between them.
Answer
10111010110011011110
Answer for screen readers
10111010110011011110
Steps to Solve
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Convert each hexadecimal digit into its decimal equivalent. Hexadecimal digits A, B, C, D, and E correspond to decimal values 10, 11, 12, 13, and 14, respectively.
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Convert each decimal value to its 4-bit binary equivalent.
- 10 (A) = 1010
- 11 (B) = 1011
- 12 (C) = 1100
- 13 (D) = 1101
- 14 (E) = 1110
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Concatenate the 4-bit binary equivalents. Combine the binary values obtained in the previous step: 1011 1010 1100 1101 1110.
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Final binary equivalent The binary equivalent of the hexadecimal number BACDE is the string obtained above.
10111010110011011110
More Information
Each hexadecimal digit maps to a 4-bit binary number. This makes conversion between hexadecimal and binary straightforward.
Tips
A common mistake is not remembering the decimal equivalents of the hexadecimal digits A through F. Another mistake is writing the binary equivalents incorrectly. Always double-check your conversions.
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