The sum in full adders have mintermsa.m1, m2, m4, m7 b.m1, m2, m4, m6c.m1, m3, m4, m7d.m1, m2, m5, m7

To find the sum in full adders, we need to consider the minterms involved.

In option a, the minterms are m1, m2, m4, and m7. In option b, the minterms are m1, m2, m4, and m6. In option c, the minterms are m1, m3, m4, and m7. In option d, the minterms are m1, m2, m5, and m7.

Each minterm represents a specific combination of inputs in the full adder circuit. To calculate the sum, we need to determine the logic expression for each minterm and then combine them using logical operations.

For example, in option a, the minterm m1 represents the input combination where A=0, B=0, and Cin=0. To calculate the logic expression for m1, we can use the Boolean algebraic expression: m1 = A' * B' * Cin'.

Similarly, we can calculate the logic expressions for the other minterms in each option. Once we have the logic expressions for all the minterms, we can combine them using logical operations like OR to get the final sum expression.