Question 1. Decoders/Encoders [ 5 marks ] The four parts of this question are considered straightforward but useful exercises to build experience and practice. Ask for assistance if you have difficulties. Some parts are dealt with in the textbook. (a) Draw the logic diagram of a 2-to-4 line decoder using: (i) NOR gates only, and (ii) NAND gates only. Include an enable input. (b) Construct a 5-to-32 line decoder with four 3-to-8 line decoders with enable, and a 2-to-4 line decoder. Use block diagrams for the components. (c) Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions: E = XYZ + XZ F = XYZ + XY G = XYZ + XY (d) Design a four-input priority encoder with input D0 having the highest priority and input D3 the lowest priority.