One method of ensuring reliability in data transmission system is to transmit a parity bit along with every nibble,byte,or word of binary data transmited.The parity bit comfirms whether an even or odd number of 1s were transmitted in the data.In even-parity system,the parity bit is set 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 system.Design a curcuit with a 4-bit input representing the binary number A3A2A1A0.The output should be 1 if the input value is divisible by 3.Assume that the curcuit is to be used only for the digit 0 through 9 (thus,values for 10 to 15 can be don’t care conditions).a.Draw the Karnaugh map and truth table for the function. b.Determine the minimum expression for the function. c.Draw the curcuit,using only AND , OR and NOT gates.

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