The unsigned binary number for the hexadecimal value of 10 (ten) is 10000.
Here's why:
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Hexadecimal: Hexadecimal is a base-16 number system. The symbols used are 0-9 and A-F, where A represents 10, B represents 11, and so on, up to F, which represents 15.
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The Hexadecimal Value "10": In hexadecimal, "10" (one-zero) doesn't mean ten. It actually means 16 in decimal. The "1" is in the "sixteens" place (161), and the "0" is in the "ones" place (160). So, (1 161) + (0 160) = 16 + 0 = 16.
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Decimal to Binary Conversion: To convert the decimal value 16 to binary, we find the powers of 2 that add up to 16:
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16 = 24 = 16
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Therefore, 16 in decimal is represented as 10000 in binary. This is because the place values in binary, from right to left, are 20 (1), 21 (2), 22 (4), 23 (8), 24 (16), and so on. We have a '1' in the 24 (16) place, and '0' in all the other places.
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| Place Value | 24 (16) | 23 (8) | 22 (4) | 21 (2) | 20 (1) |
|---|---|---|---|---|---|
| Binary Digit | 1 | 0 | 0 | 0 | 0 |
- Another Example (Hex A which is Decimal 10): For clarity, the hexadecimal value "A" (which represents the decimal number 10) would be represented as
1010in binary. This is because 10 = (1 23) + (0 22) + (1 21) + (0 20) = 8 + 0 + 2 + 0.
Therefore, to reiterate, the hexadecimal value of "10" (which is sixteen in decimal) is "10000" in binary.
