Base conversions: Convert the binary number 1011010₂ to its hexadecimal representation (use standard uppercase hex digits).

Introduction / Context:Converting between binary and hexadecimal is a routine task because hex compactly represents binary in groups of four bits (nibbles). This saves space and reduces errors when reading or writing long binary values in firmware, datasheets, and debugging logs.

Given Data / Assumptions:

• Given binary: 1011010₂.
• Goal: hexadecimal (base 16) using digits 0–9 and A–F.
• Leading zeros may be added to complete a 4-bit group.

Concept / Approach:Group bits from the binary point outward into sets of four, padding the most significant group with leading zeros if needed. Translate each nibble to its corresponding hex digit using the 8421 weighting (8-4-2-1).

Step-by-Step Solution:

Verification / Alternative check:Convert back: 5A_hex = 5*16 + 10 = 80 + 10 = 90. Binary 1011010₂ = 90 decimal. Round-trip confirms correctness.

Why Other Options Are Wrong:

• 5B: Corresponds to 0101 1011, which has an extra 1 in the least significant bit.
• 5F: Corresponds to 0101 1111, different lower nibble.
• 5C: Corresponds to 0101 1100, not the given pattern.

Common Pitfalls:Grouping from the wrong end or forgetting to pad with a leading zero. Always ensure four-bit alignment when mapping to hex.

Final Answer:5A