Convert 102 decimal to hexadecimal.

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Multiple Choice

Convert 102 decimal to hexadecimal.

Explanation:
Converting decimal to hexadecimal uses base 16. You divide by 16 to get a quotient and remainder, which become the hex digits from high to low. For 102, 102 divided by 16 equals 6 with a remainder of 6. The quotient 6 is the high hex digit and the remainder 6 is the low hex digit, so the hex representation is 66. Check: 6×16 + 6 = 96 + 6 = 102, so it matches. The other options correspond to different values: 9A is 9×16 + 10 = 154; 3F is 3×16 + 15 = 63; 7A is 7×16 + 10 = 122, none of which equal 102.

Converting decimal to hexadecimal uses base 16. You divide by 16 to get a quotient and remainder, which become the hex digits from high to low. For 102, 102 divided by 16 equals 6 with a remainder of 6. The quotient 6 is the high hex digit and the remainder 6 is the low hex digit, so the hex representation is 66. Check: 6×16 + 6 = 96 + 6 = 102, so it matches.

The other options correspond to different values: 9A is 9×16 + 10 = 154; 3F is 3×16 + 15 = 63; 7A is 7×16 + 10 = 122, none of which equal 102.

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