Convert the decimal number 620 to hexadecimal.

Convert the decimal number 620 to hexadecimal.

• A. 0x26C
• B. 0x26A
• C. 0x27C
• D. 0x29C

Answer: (A)

Converting decimal to hexadecimal uses base 16, so you break the number into 16^2, 16^1, and 16^0 components. For 620, the largest is 16^2 = 256. 620 divided by 256 gives a coefficient of 2, leaving a remainder of 620 − 2×256 = 108. Next, 16^1 = 16 fits into 108 six times, leaving a remainder of 108 − 6×16 = 12. The 16^0 place gets the remainder 12, which is the hex digit C. Put the digits together: 2, 6, C, so the hexadecimal representation is 0x26C. Verifying by converting back: 2×256 + 6×16 + 12 = 512 + 96 + 12 = 620, which confirms it. The other options correspond to different sums in decimal and do not equal 620 (for example, 0x26A would be 618, 0x27C would be 636, and 0x29C would be 668).

Converting decimal to hexadecimal uses base 16, so you break the number into 16^2, 16^1, and 16^0 components. For 620, the largest is 16^2 = 256. 620 divided by 256 gives a coefficient of 2, leaving a remainder of 620 − 2×256 = 108. Next, 16^1 = 16 fits into 108 six times, leaving a remainder of 108 − 6×16 = 12. The 16^0 place gets the remainder 12, which is the hex digit C. Put the digits together: 2, 6, C, so the hexadecimal representation is 0x26C. Verifying by converting back: 2×256 + 6×16 + 12 = 512 + 96 + 12 = 620, which confirms it. The other options correspond to different sums in decimal and do not equal 620 (for example, 0x26A would be 618, 0x27C would be 636, and 0x29C would be 668).