Difficulty: Easy
Correct Answer: 158
Explanation:
Introduction / Context:
Hexadecimal numbers are frequently converted to decimal for readability and to verify computations. Sometimes protocol fields mention parity for error checking, but parity does not change the numeric interpretation of a hexadecimal number itself. This question asks for the decimal value of 9E16 and clarifies that “odd parity” is not part of the numeric conversion.
Given Data / Assumptions:
Concept / Approach:
Convert each hex digit to its decimal value and apply positional weights: the left digit is multiplied by 16^1 and the right digit by 16^0. The letter E corresponds to decimal 14. The sum gives the final decimal value.
Step-by-Step Solution:
Verification / Alternative check:
Convert 158 back to hex: 158 / 16 = 9 remainder 14 → 9E16, confirming the conversion is correct.
Why Other Options Are Wrong:
30 and 78 are unrelated decimal values; saying “Nothing. Parity does not check.” confuses an integrity check with numeric conversion and is not a decimal value.
Common Pitfalls:
Treating E as 15 instead of 14; misinterpreting the parity comment as modifying the numeric value; reversing digit weights.
Final Answer:
158
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