(Solved): Question 1 Design a 5-input circuit, where 4 inputs \( (W, X, Y, Z) \) form a 2421 binary coded rep ...

Question 1 Design a 5-input circuit, where 4 inputs \( (W, X, Y, Z) \) form a 2421 binary coded representation of a decimal digit and a fifth input is a control signal \( C \). If \( C \) is false, the single output of the circuit should be true only if the input decimal number is 5 or less. If \( C \) is true, the output should be the inverse of input bit \( Z \). Derive an expression for the circuit output and sketch an implementation of the circuit using logic gates of your choice (e.g. NOT, OR, AND, NAND etc).