An Odd Parity circuit will be designed to ensure that when the Z output is added together with the number of "1s" in the 4-bit I (I3I2I1I0) number entered. If the number of ones in the bits of the I number is SINGLE, the Z output will be "0" and if the number of ones is EVEN, the Z output will be "1". Thus, with Z, TOTAL number 1 (One) becomes ODD. You will design an Odd Parity circuit that takes a 4-bit I (I3I2I1I0) number of inputs and produces Z output bits. Example: The number I = (1011) 2 has 3 "1s". Z = 0. In the number I = (1010) 2 there are 2 "1s". Z = 1.

1) Accordingly, give the Truth table AND Find all prime products of the Z function using the Karnaugh Diagram

2) Create and reduce the options table using the cost criteria, with each variable being 2 units and each integration operation 1 unit. Briefly explain the steps of your reduction. Write down the expression and total cost of the "cheapest" function you obtained as a result of the discount.

3) Build the circuit using only 2-input NOR gates.