Question: 2.8 Truth Table for the Full Adder: Complete the truth table for a Full Binary Adder. There are 3 inputs: A and B, and Cu,
2.8 Truth Table for the Full Adder: Complete the truth table for a Full Binary Adder. There are 3 inputs: A and B, and Cu, the carry from adding the previous column, called Label the sum, Sum4, and the carry to next column, Cour4. Inputs Outputs Decimal Binary in binary Calculate sum of A, B, Cin in decimal Con Cou 4 Sum4 0 1 2 3 B 0 0 1 1 0 1 10 11 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 2.9 Boolean Algebra Equations for Full Adder: From the Truth Table, write the Sum of Minterms, Product of Maxterms, and the Canonical Sum of Products: Sum4 = m ), Sum4 = IMC _), Sum4a = Cout 4 = m_ . Cout4 = IM _), Coutta = 2.10 Simplest Sum of Product (SOP) of the Full Adder: Simplify the above functions using K-maps, label each cell with the corresponding minterm number in the upper right of each cell, then fill in the values of each cell according to the Truth Table. Draw ovals around the groupings each in a different color and find the simplest Sum of Products: Sum4 Cin Cout 4 Cin Sum4 = f(A, B, Cin) = 0 1 0 1 AB AB 00 00 Cout4 = f(A, B, Cin) = 01 01 11 11 10 10
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