4. Find the sum-of-products expansion and the product-of-sums expansion for the function F(x, y, z) = xyz + (xyz). [4 marks] 5. Construct a K-map for F(x, y, z) = x2 + yz + xyz to find a minimal expansion as a Boolean sum of Boolean products. [5 marks] 6. Give the state table for the finite-state machine with the state diagram in Figure 4. [5 marks] 1,0 S1 0.0 Start SO 0,0 1,0 S2 0,1