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.
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AC816
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B6816
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CD016
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DNothing. Parity does not check.
Answer
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