Convert decimal 2001 to hexadecimal.

Convert decimal 2001 to hexadecimal.

• A. 0x2001
• B. 0x7D1
• C. 0x0FA1
• D. 0x3E9

Answer: (B)

Converting decimal to hex relies on expressing the number in terms of powers of 16. Break 2001 down as 7×16^2 + 13×16^1 + 1×16^0. Since 13 corresponds to the hex digit D, the hex representation is 0x7D1. You can also see this by dividing by 16: 2001 ÷ 16 gives remainder 1; 125 ÷ 16 gives remainder 13 (D); 7 ÷ 16 gives remainder 7. Reading the remainders upward yields 7, D, 1, so 0x7D1. Other options would correspond to different decimals (for example, 0x3E9 equals 1001), so they don’t match 2001.

Converting decimal to hex relies on expressing the number in terms of powers of 16. Break 2001 down as 7×16^2 + 13×16^1 + 1×16^0. Since 13 corresponds to the hex digit D, the hex representation is 0x7D1. You can also see this by dividing by 16: 2001 ÷ 16 gives remainder 1; 125 ÷ 16 gives remainder 13 (D); 7 ÷ 16 gives remainder 7. Reading the remainders upward yields 7, D, 1, so 0x7D1. Other options would correspond to different decimals (for example, 0x3E9 equals 1001), so they don’t match 2001.