In digital systems, parity generation and parity checking are employed to detect ________ during the transmission or storage of binary data.

Difficulty: Easy

Correct Answer: errors in binary data transmission

Explanation:


Introduction / Context:
Parity generation and checking is a classic, low-cost technique used in digital electronics and computer systems to detect accidental changes in binary data. It appears in serial links, memory systems, I/O buses, and simple communication protocols to provide a first line of defense against bit errors introduced by noise or interference.



Given Data / Assumptions:

  • The system uses either even parity or odd parity.
  • Parity is computed over a defined set of data bits (for example, a byte).
  • Only single-bit error detection is guaranteed; multi-bit detection depends on error patterns.


Concept / Approach:
Parity adds one extra bit so that the total number of 1s (data bits + parity bit) is even for even parity, or odd for odd parity. At the receiver, parity is recomputed and compared with the received parity bit to decide whether a transmission or storage error likely occurred.



Step-by-Step Solution:

Choose a parity type (even or odd) for the link or memory.Compute parity at the source: parity = XOR of all data bits, adjusted to meet the chosen parity rule.Transmit or store the data bits along with the parity bit.At the destination, recompute parity from received data bits and compare with the received parity bit.If mismatch occurs, flag a parity error indicating data corruption.


Verification / Alternative check:
Because parity is essentially an XOR (mod-2 sum) across the bits, it reliably detects any odd number of bit flips (not just one). For many practical channels where single-bit errors dominate, parity is effective and simple.



Why Other Options Are Wrong:
Determining which number is greater requires a magnitude comparator, not parity. Arithmetic errors in a CPU are handled by internal logic or checksums, not parity on the ALU outputs. Counter miscounts are detected by redundant encoding or watchdog logic, not parity alone.



Common Pitfalls:
Assuming parity corrects errors (it does not), or that it detects all multi-bit errors (it only guarantees detection of odd-count bit flips). Confusing even versus odd parity conventions can also lead to false error flags.



Final Answer:
errors in binary data transmission

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