Base conversion practice: convert the binary number 1100011 (base 2) to hexadecimal (base 16). Choose the correct hex result.

Introduction / Context:Binary-to-hex conversion is efficient because 4 binary bits map directly to one hexadecimal digit. This is widely used in debugging, addressing, and compact representation of bit patterns.

Given Data / Assumptions:

• Binary value: 1100011₂.
• No sign or fractional part.
• Left padding with zeros is allowed to complete 4-bit groups.

Concept / Approach:Group the binary digits from right to left into 4-bit nibbles: 1100011 → 0110 0011. Convert each nibble to its hex digit.

Step-by-Step Solution:

Verification / Alternative check:Decimal cross-check: 1100011₂ = 97₁₀; 63₁₆ = 6*16 + 3 = 96 + 3 = 99? Wait, compute carefully: 6*16 = 96; 96 + 3 = 99. Re-evaluate binary: 1100011₂ = 64 + 32 + 2 + 1 = 99; matches 63₁₆. (Corrected: the decimal value is 99.)

Why Other Options Are Wrong:

Common Pitfalls:Forgetting to pad the leftmost group; miscomputing decimal equivalents when double-checking.

Final Answer:63₁₆