Implement F(A, B, C)- (A' +B)(A C)(A +B') using only a 3-to-8 decoder and any other basic logic gates necessary (AND, OR, or NOT gates). Minimize any combinational logic (other than the decoder) in sum-of-products form. Show the truth table, minimization steps (as may be necessary), and the schematic. The symbol and truth table for a 3-to-8 decoder are shown below. w0v0 yl y2 y3 y4 y5 y6 y7 WO W1 W2 YO 1 0 0 0 1 0 0 1 0 1 0 00 0 0 0 Y2 Y3 Y4 Y5 Y6 Y7 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 00 0 0 1 0 1 1 1 1 0 0 0 00 0 0 1 0 x x X 0 0 0 0 0 0 0 0 3-to-8 Decoder Symbol Truth Table