What is the hexadecimal representation of decimal 1480?

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Multiple Choice

What is the hexadecimal representation of decimal 1480?

Explanation:
Converting a decimal number to hexadecimal uses dividing by 16 and reading the remainders as hex digits from least significant to most significant. For 1480, 16 goes into it 92 times with a remainder of 8, so the least significant hex digit is 8. Then 92 divided by 16 gives a quotient of 5 with a remainder of 12, which is the hex digit C. Finally, 5 divided by 16 yields a remainder of 5, giving the most significant digit 5. Reading the digits in reverse order gives 5, C, 8, or 0x5C8. This is correct because 5×256 + 12×16 + 8 = 1280 + 192 + 8 = 1480. Nearby hex values would correspond to nearby decimals, for example 0x5C9 is 1481, 0x5CA is 1482, and 0x5C7 is 1479.

Converting a decimal number to hexadecimal uses dividing by 16 and reading the remainders as hex digits from least significant to most significant. For 1480, 16 goes into it 92 times with a remainder of 8, so the least significant hex digit is 8. Then 92 divided by 16 gives a quotient of 5 with a remainder of 12, which is the hex digit C. Finally, 5 divided by 16 yields a remainder of 5, giving the most significant digit 5. Reading the digits in reverse order gives 5, C, 8, or 0x5C8. This is correct because 5×256 + 12×16 + 8 = 1280 + 192 + 8 = 1480. Nearby hex values would correspond to nearby decimals, for example 0x5C9 is 1481, 0x5CA is 1482, and 0x5C7 is 1479.

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