Assume that a parity bit is transmitted for every nibble of data. Design two logic circuits that check a nibble of data and its parity bit to determine if there may have been a data transmission error. Assume first an even-parity system, then an odd-parity system.

Find:
The logic circuit that check a nibble of data and its parity-bit.


Analysis:

If we write the nibble in the form ABCD and E is the parity-bit, the logic circuit is:

When there is no transmission error, the transmission bit is 1.







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