1. For the function f(x, y, z) = m( 1, 2, 4, 5, 7) (a) Write algebraic expression in sum of minterms form and product of maxterms. Draw the gate level circuits for both expressions and determine their cost. (b) Use Karnaugh maps (K-map) to find the minimum sum of products (SOP) and the minimum product of sums (POS) expressions for f. Draw their gate level circuits and determine their cost. (C) Synthesize SOP using only NAND gates and POS with using only NOR gates