Decimal to hexadecimal conversion Convert the decimal number 125 to base-16 (hexadecimal).

Introduction / Context:Hexadecimal conversion by repeated division is a standard skill in digital systems and computer architecture.

Given Data / Assumptions:

• Number: 125 (base 10).
• Hex digits: 0–9 then A=10, B=11, C=12, D=13, E=14, F=15.

Concept / Approach:Divide by 16, record remainders as hex digits, and read from last to first to form the hexadecimal value.

Step-by-Step Solution:

Verification / Alternative check:Back-convert: 7*16 + 13 = 112 + 13 = 125.

Why Other Options Are Wrong:

• D7₁₆ / 7C₁₆ / C7₁₆: These correspond to 215, 124, and 199 respectively.

Common Pitfalls:Reversing the order of remainders or misvaluing D as 11 instead of 13.

Final Answer:7D₁₆