Parity bit calculation — append an even parity bit to a 6-bit word Given the data word 110010, determine the 7-bit result after adding an even parity bit (total number of 1s must be even).

Introduction / Context:
Parity is a lightweight error-detection method used in memories, serial links, and legacy buses. With even parity, the parity bit is chosen so that the total count of 1s in the transmitted word (data + parity) is even. This question checks your ability to compute and append an even parity bit correctly.

Given Data / Assumptions:

• Data word: 110010 (6 bits).
• Even parity requirement: total number of 1s across all 7 bits must be even.
• Parity bit is appended as an extra bit; its exact position (MSB vs LSB) is implementation-defined, but options indicate it is prefixed to create a 7-bit result.

Concept / Approach:
Count the 1s in the data and add 1 if the count is odd (to make it even). If the count is already even, add 0. Here we prepend the computed parity bit (consistent with the presented choices).

Step-by-Step Solution:

Verification / Alternative check:
Recount 1s in 1110010: there are 4 ones, which is even. If the system appended the bit at the LSB instead, the 7-bit sequence would be 1100101; however, the given options reflect the MSB placement, so 1110010 is the correct choice here.

Why Other Options Are Wrong:

• 1111001, 001101, 0110010: each yields the wrong total parity or scrambles the original bit order.
• 110010: contains no parity bit and still has an odd count of ones.

Common Pitfalls:

• Losing track of where the parity bit is appended; match the convention implied by the answer choices.
• Confusing even and odd parity definitions.

Final Answer:
1110010