1. 2-to-4-Line Decoder Design. a. Construct the truth table of a 2-to-4-line decoder. b. Draw the...

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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 1₁ 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 (S₁, 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. 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 1₁ 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 (S₁, 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.

Answer rating: 100% (QA)

Certainly lets start by designing a 2to4 line decoder a Truth Table Inputs A B Outputs Y0 Y1 Y2 Y30 0 1 0 0 00 1 0 1 0 01 0 0 0 1 01 1 0 0 0 1 The tru... View the full answer