In hexadecimal notation, what is the hexadecimal representation of decimal 2001?

In hexadecimal notation, what is the hexadecimal representation of decimal 2001?

• A. 0x07D1
• B. 0x7D1
• C. 0x2001
• D. 0x1F4

Answer: (B)

Converting a decimal number to hexadecimal uses base 16, where digits run 0–9 and A–F. You divide by 16 and record the remainders as the hex digits from least significant to most significant. For 2001, 2001 ÷ 16 gives a remainder of 1, so the least significant hex digit is 1. The quotient is 125; 125 ÷ 16 gives a remainder of 13, which is D, so the next digit is D. The quotient becomes 7; 7 ÷ 16 gives a remainder of 7, so the most significant digit is 7. Reading the digits from most to least gives 7, D, 1, i.e., 0x7D1. A leading zero version like 0x07D1 represents the same value, though leading zeros are usually omitted. The other options correspond to different values (for example, 0x2001 is 8193 and 0x1F4 is 500).

Converting a decimal number to hexadecimal uses base 16, where digits run 0–9 and A–F. You divide by 16 and record the remainders as the hex digits from least significant to most significant. For 2001, 2001 ÷ 16 gives a remainder of 1, so the least significant hex digit is 1. The quotient is 125; 125 ÷ 16 gives a remainder of 13, which is D, so the next digit is D. The quotient becomes 7; 7 ÷ 16 gives a remainder of 7, so the most significant digit is 7. Reading the digits from most to least gives 7, D, 1, i.e., 0x7D1. A leading zero version like 0x07D1 represents the same value, though leading zeros are usually omitted. The other options correspond to different values (for example, 0x2001 is 8193 and 0x1F4 is 500).