Final answer:
The largest sum that can be produced by a full adder in binary is 7.
Step-by-step explanation:
A full adder is a digital circuit that adds two binary numbers together and produces two outputs: a sum bit and a carry bit. The largest sum that can be produced by a full adder in binary is 7, which is represented as 111 in binary. This is because the maximum sum of any two binary digits is 1 (when both digits are 1) and when there is a carry from the previous bit, the sum can be 1 + 1 + 1 = 3, which is represented as 11 in binary. Therefore, the correct answer is option c. 7.