transmission systems is to transmit a parity bit along with every nibble, byte, or word of binary data transmitted. The parity bit confirms whether an even or odd number of $1s$ were transmitted in the data. In even$-$parity systems, the parity bit is set to $1$ when the number of $1s$ in the transmitted data is odd. Odd$-$parity systems set the parity bit to $1$ when the number of $1s$ in the transmitted data is even. Assume that a parity bit is transmitted for every nibble of data. Design a logic circuit that checks the nibble of data and transmits the proper parity bit for both even$-$ and odd$-$parity systems.