Decimal-to-hexadecimal conversion Convert the decimal number 457₁₀ to hexadecimal (base 16).

Introduction / Context:Converting from decimal to hexadecimal can be done by repeated division by 16, recording remainders as hex digits (0–9, A–F).

Given Data / Assumptions:

• Decimal number: 457.
• Hex base: 16, digits A=10, B=11, C=12, D=13, E=14, F=15.

Concept / Approach:Use successive division by 16 and collect remainders from last to first to form the hex representation.

Step-by-Step Solution:

Verification / Alternative check:Compute back: 1*16^2 + C(12)*16 + 9 = 256 + 192 + 9 = 457.

Why Other Options Are Wrong:

• 711/2C7/811: Do not evaluate to 457 when converted back.

Common Pitfalls:Writing remainders in the wrong order or misreading C as 11 instead of 12.

Final Answer:1C9