1. 2-to-4-Line Decoder Design. a. Construct the truth table of a 2-to-4-line decoder. b. Draw the logic diagram of the decoder. c. Draw the circuit of the decoder by hand using elementary gates. d. Build the circuit using elementary (AND, OR, NOT) gates and verify the truth table. 2. 4-to-1-Line MUX Design. Condensed truth table of a 4-to-1-Line Multiplexer is given as below. S, SOUT 00 lo 01 1 10 12 1 1 13 a. Draw the logic diagram of 4:1 MUX using three 2:1 MUXS. b. Write OUT as a function of selection lines (S, S) and inputs (10, 11, 12, 13). c. Build the circuit using elementary (AND, OR, NOT) gates and verify the truth table. 3. Implement a given Boolean function using decoders and elementary gates. F(A,B,C) = AC + BC a. Construct the truth table of F. b. Determine the sum-of-minterms (SOM) of the circuit. Determine the product-of-maxterms (POM) of the circuit. c. Draw the logic diagram of the circuit by using a 3-to-8-line decoder and elementary gates. d. Implement the circuit using a 3-to-8-line decoder and elementary gates. e. Verify the truth table.