Convert the decimal number 593 to hexadecimal.

Convert the decimal number 593 to hexadecimal.

• A. 0x251
• B. 0x3A9
• C. 0x2510
• D. 0x5A

Answer: (A)

Converting a decimal number to hexadecimal uses base-16 digits and is done by repeatedly dividing by 16 and recording the remainders as the hex digits from right to left. For 593, 593 ÷ 16 equals 37 with a remainder of 1, so the least significant hex digit is 1. Then 37 ÷ 16 equals 2 with a remainder of 5, giving a next digit of 5. Finally, 2 ÷ 16 equals 0 with a remainder of 2, which becomes the most significant digit. Reading the remainders from last to first gives 2, 5, 1, so the hexadecimal representation is 0x251. This value equals 2×256 + 5×16 + 1 = 593, confirming the conversion. The other options don’t fit: 0x3A9 equals 937, 0x2510 equals 9488, and 0x5A equals 90, so they are not correct representations of 593.

Converting a decimal number to hexadecimal uses base-16 digits and is done by repeatedly dividing by 16 and recording the remainders as the hex digits from right to left. For 593, 593 ÷ 16 equals 37 with a remainder of 1, so the least significant hex digit is 1. Then 37 ÷ 16 equals 2 with a remainder of 5, giving a next digit of 5. Finally, 2 ÷ 16 equals 0 with a remainder of 2, which becomes the most significant digit. Reading the remainders from last to first gives 2, 5, 1, so the hexadecimal representation is 0x251. This value equals 2×256 + 5×16 + 1 = 593, confirming the conversion. The other options don’t fit: 0x3A9 equals 937, 0x2510 equals 9488, and 0x5A equals 90, so they are not correct representations of 593.