Question

The hexadecimal representation of the decimal number 2000 is

• A. 7C8
• B. 7D0
• C. 7A6
• D. 7B4

Hint:

When converting from decimal to hexadecimal, repeatedly divide by 16 and use the remainders to form the hexadecimal number.

Answer 1

The Correct Option is B

Step 1: Conversion from decimal to hexadecimal.
To convert the decimal number 2000 to hexadecimal, we repeatedly divide the number by 16 and record the remainders: \[ 2000 \div 16 = 125 \quad \text{remainder} \, 0 \] \[ 125 \div 16 = 7 \quad \text{remainder} \, 13 \, (\text{which is} \, D) \] \[ 7 \div 16 = 0 \quad \text{remainder} \, 7 \] Thus, the hexadecimal representation of 2000 is \( 7D0 \).
Step 2: Conclusion.
Therefore, the correct answer is (2) 7D0.