Problem 1 a) Consider the design of a 1-bit Binary Full (FA) adder. Provide its truth table, the Boolean expression for each output function, and its logic circuit using logical gates. (2.5 points) b) Design a 2-bit binary adder using 1-bit FA adder. (2.5 points) c) Design a 2-bit binary subtractor using 2-bit adder. (2.5 points) d) Design 2-bit binary multiplier using 2-bit adder. (2.5 points)