Binary–hexadecimal conversion — match each binary value to its hex equivalent List I (Binary) A. 10101010 B. 11111111 C. 10001000 D. 10010010 List II (Hex) 1. FF 2. 88 3. 92 4. AA

Introduction / Context:Converting between binary and hexadecimal is routine in digital electronics and debugging. Each hex digit represents exactly four binary bits, simplifying grouping and interpretation of byte patterns.

Given Data / Assumptions:

• Group binary strings into 4-bit nibbles from the left.
• Map each nibble to its hex digit (0000→0 … 1111→F).

Concept / Approach:Translate each 8-bit pattern by splitting into two nibbles and converting each nibble to hex, then concatenating the two hex digits.

Step-by-Step Solution:

Verification / Alternative check:Cross-check with decimal: 10101010₂ = 170₁₀ = 0xAA; 11111111₂ = 255₁₀ = 0xFF; 10001000₂ = 136₁₀ = 0x88; 10010010₂ = 146₁₀ = 0x92.

Why Other Options Are Wrong:

• Any option assigning non-matching hex values ignores the 4-bit grouping rule.

Common Pitfalls:Grouping from the wrong end or misreading 1001 as 1000; forgetting leading zeros when the bit-count is not a multiple of 4.

Final Answer:A-4, B-1, C-2, D-3