Difficulty: Easy
Correct Answer: 11100001
Explanation:
Introduction / Context:Parity bits are used in simple error detection schemes. With even parity, the total number of 1s in the transmitted word (data bits + parity bit) must be even.
Given Data / Assumptions:
Concept / Approach:Count the number of 1s in the data. If the count is odd, set parity bit = 1 to make the total even; if the count is even, set parity bit = 0.
Step-by-Step Solution:
1) Count ones in 1100001 → 1+1+1 = 3 ones (odd).2) For even parity, parity bit must be 1 so total ones become 4 (even).3) Prepend parity to data: 1 1100001 → 11100001.4) Verify: number of 1s in 11100001 is 4 (even), so parity condition holds.Verification / Alternative check:Try parity bit = 0 → 01100001 gives 3 ones (odd), which violates even parity. Therefore parity bit must be 1.
Why Other Options Are Wrong:
Common Pitfalls:Appending parity at the wrong end, miscounting the number of ones, or confusing even with odd parity.
Final Answer:11100001
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