Matrix Parity Checker (8x8 Grid)

Instructions

Welcome to the Matrix Parity Checker! Here's how you can use the tool:

Step 1: Click the Generate Matrix button to generate a random 7x7 binary matrix with parity bits.
Step 2: The system will randomly use either even or odd parity, which will be displayed above the matrix.
Step 3: An error may or may not be introduced into the matrix. You need to identify if there’s an error and guess the row and column where the error is located.
Step 4: Select the row and column where you think the error is, or choose the No error option if you believe the matrix is correct.
Step 5: Once you've made your guess, click the Reveal Answer button to check if you're correct!

What is a Parity Check? (Click to expand)

A parity check is a simple error-detection mechanism used in digital systems to detect errors in transmitted or stored data. The system adds an extra bit, known as the parity bit, to a group of bits (like a byte). The parity bit is used to indicate whether the number of 1s in the group is odd or even.

There are two types of parity checks:

Even Parity: The parity bit is set so that the total number of 1s in the group (including the parity bit) is even.
Odd Parity: The parity bit is set so that the total number of 1s in the group (including the parity bit) is odd.

When data is transmitted or stored, the receiver can check whether the data follows the expected parity (even or odd). If the number of 1s does not match the expected parity, an error has occurred. While parity checks can detect single-bit errors, they cannot correct them.

Guess the location of the error (Row, Column):
Row: Column:

There is an error
No error