What is the hexadecimal representation of the decimal value 1500?

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Multiple Choice

What is the hexadecimal representation of the decimal value 1500?

Explanation:
Converting decimal to hexadecimal uses powers of 16 and reads the remainders from least significant to most significant. Divide 1500 by 16 to get a remainder of 12, which corresponds to the hex digit C. Then divide the quotient, 93, by 16 to get a remainder of 13, which is D. Finally, divide the quotient 5 by 16 to get a remainder of 5. Reading the remainders in reverse gives 5, D, C, so the hex value is 0x5DC. If you prefer four digits, pad with a leading zero: 0x05DC. Verifying by back-converting: 0x05DC equals 5×256 + 0xDC (220) = 1280 + 220 = 1500. The other options correspond to 1000, 1200, and 1492, respectively, not 1500.

Converting decimal to hexadecimal uses powers of 16 and reads the remainders from least significant to most significant. Divide 1500 by 16 to get a remainder of 12, which corresponds to the hex digit C. Then divide the quotient, 93, by 16 to get a remainder of 13, which is D. Finally, divide the quotient 5 by 16 to get a remainder of 5. Reading the remainders in reverse gives 5, D, C, so the hex value is 0x5DC. If you prefer four digits, pad with a leading zero: 0x05DC. Verifying by back-converting: 0x05DC equals 5×256 + 0xDC (220) = 1280 + 220 = 1500. The other options correspond to 1000, 1200, and 1492, respectively, not 1500.

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