Design a one bit full adder using half adders. Write down it's truth table and also sketch it's logic circuit. 15. Suppose a binary output F is 1 iff the four binary inputs (A, B,C,D) represent a valid 6-3- 1-1 binary-coded-decimal digit (Refer to Table 1-2 on page 22 of textbook). Suppose another binary output G is 1 iff (A, B, C, D) is an even 4-bit number. Finally, let binary output H be 1 iff both F and G is true. (a) (3 Points) Construct the truth table for H in terms of the inputs and outputs. (b) (2 Points) Provide and simplify the output function for H in terms of (A, B, C, D).