Decimal to hexadecimal conversion: Convert 99₁₀ to its hexadecimal (base 16) representation.

Introduction / Context:
Hexadecimal is a compact way to express binary values, popular in computer architecture and debugging. Converting from decimal to hex trains you to think in powers of 16, which map neatly to 4-bit binary nibbles. Here we convert 99₁₀ to base 16.

Given Data / Assumptions:

• Input: 99 in base 10.
• Output: base 16 (hexadecimal) notation.
• Digits in base 16 are 0–9 and A–F (10–15).

Concept / Approach:
Use repeated division by 16: the quotient is the high-order hex digit, and the remainder is the low-order hex digit. Since 16 = 2^4, each hex digit corresponds to four binary bits, making results easy to cross-check in binary if desired.

Step-by-Step Solution:
Divide: 99 ÷ 16 = 6 remainder 3.Map remainder 3 → hex digit 3; quotient 6 → hex digit 6.Assemble digits high-to-low: 6 then 3 → 63₁₆.

Verification / Alternative check:
Back-convert: 63₁₆ = 6*16 + 3 = 96 + 3 = 99, confirming correctness. Binary check: 63₁₆ → 0110 0011₂ → 99₁₀ (64 + 32 + 2 + 1). Both methods agree.

Why Other Options Are Wrong:
08₁₆ = 8₁₀; 61₁₆ = 97₁₀; 50₁₆ = 80₁₀. None equals 99₁₀.

Common Pitfalls:
Writing digits in reverse order (putting remainder first as MSB). Always place the quotient digit to the left of the remainder digit when forming the final hex result.

Final Answer:
63₁₆