Construct a truth table for a circuit with three inputs (x, y, z) and one output that outputs true if the input xyz is even. Write a sum-of-products expression for the above table. Simplify it using Boolean identities. Show your work Construct a K-map from the above truth table. Group entries in the K-map (write the labels for each group below) and label each of them based on the cell labeling template below (A, B, C, etc) - eg. A: m_1, m_3, m_5, m_7 Write out the simplified Boolean expression for a circuit with three inputs (x, y, z) and one output that outputs true if the input is even