Convert the binary value 1100001 (base 2) to hexadecimal (base 16). What is the correct hex representation?

Introduction / Context:
Binary-to-hex conversion proceeds by grouping bits into 4-bit nibbles from the right. Each nibble maps directly to a single hexadecimal digit (0–F), making the conversion both fast and exact.

Given Data / Assumptions:

• Binary value: 1100001₂.
• We will left-pad with zeros if needed to complete a nibble.
• No sign or fractional bits are involved.

Concept / Approach:
Group from the right into nibbles: 1 1000 01 → pad to 0110 0001. Convert each nibble: 0110₂ = 6₁₆ and 0001₂ = 1₁₆. Thus, 1100001₂ = 0x61.

Step-by-Step Solution:

Verification / Alternative check:
Decimal check: 1100001₂ = 97₁₀; 0x61 = 6*16 + 1 = 97; both match.

Why Other Options Are Wrong:

Common Pitfalls:
Forgetting to pad the leftmost group to 4 bits; misreading 0110 as 5 instead of 6.

Final Answer:
61 (base 16)