Hex conversion with a parity red herring: Treat the bit pattern 01101000 as an 8-bit quantity and convert it to hexadecimal. Ignore the mention of even parity for the purpose of base conversion.

Difficulty: Easy

Correct Answer: 6816

Explanation:


Introduction / Context:
Parity bits are used for error detection, but they have nothing to do with converting a given bit pattern between bases. This question checks whether you can convert an 8-bit binary value to hexadecimal while recognizing that parity information is irrelevant to the numerical translation itself.


Given Data / Assumptions:

  • Binary pattern: 01101000 (eight bits).
  • Unsigned interpretation for conversion.
  • Parity mention is a distractor; no extra parity bit is provided.


Concept / Approach:
Hexadecimal maps cleanly to binary using 4-bit groups (nibbles). Split the 8-bit value into two nibbles from the left: the high nibble and the low nibble. Convert each nibble to a hex digit and concatenate.


Step-by-Step Solution:
Group: 0110 1000.Convert 0110₂ → 6₁₆.Convert 1000₂ → 8₁₆.Combine → 0x68 (written as 6816).


Verification / Alternative check:
Decimal cross-check: 01101000₂ = 64 + 32 + 8 = 104; 104₁₀ = 0x68, confirming the result.


Why Other Options Are Wrong:
C816: 0xC8 = 200₁₀, not 104₁₀.
D016: 0xD0 = 208₁₀, not 104₁₀.
Nothing. Parity does not check.: Parity checking is unrelated to numeric base conversion of the given 8 data bits.


Common Pitfalls:
Letting the parity note mislead you into thinking the value is invalid; mixing up nibble boundaries; or converting using decimal steps instead of direct nibble mapping which is faster and less error-prone.


Final Answer:
6816

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