19. a) [2 pt] Construct a truth table for a circuit with three inputs (x,y,z) and one output that outputs true if the input (xyz) is less than 5. b) [2 pt] Write a sum-of-products expression for the above table. c) 12 pts] Simplify it using Boolean identities. d) [2 pt] Construct a K-map from the above truth table. xI yz 01 10 0 e) [2 pt] Group entries in the K-map (write the labels for each group below. Label and write out each group (A, B, C, etc) - eg. A: m,, m3, m5, mz. You can consult the 3-variable K-map template below, if needed. f 12 pt] Write out the simplified Boolean expression for a circuit with three inputs (x.y,z) and one output that outputs true if if the input (xyz) is less than 5