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- Digital Logic Design12. Construct circuits for the following expressionst a. xỹ+xy b. (x + y) +yz c. (Xz + y)zQ5// Design a combinational .logic circuit that has 4-inputs (A,B,C,D) and one-output (F), the output will be high "1" when the majority of inputs are high"1", and then simplify the output use POS expression in K-map and draw logic circuit.
- Part a Design a logic circuit using the truth table Inputs output shown. Use only basic logic gates (AND, OR, NOT). Also, the circuit should use the FEWEST number of gates and the FEWEST number of inputs to the gates. Fully label all the inputs and outputs. a b. 1 1 1 1 1. 1 1 Part b Implement a 3-input XOR gate using only a 4x1 multiplexer and an inverter. Also complete the truth table in your answer sheets with the correct labels and function solution. Fully label all inputs and outputs. Part c Design a full-adder using half-adders and A- additional logic using the half-adder shown here. Pi GiFunction f (A,B, C, D) is a function of integer greater than 0 and multiple of 3 less than 16. The input A,B,C,D is 1 or 0. a. Make the truth table b. Simplify the function. You may use Boolean Algebra or Karnaugh Map c. Sketch a combinational circuit9. Construct a logic circuit that implements a 2-bit, 4-function ALU that has oper- ations ADD, AND, OR, and XOR. Inputs to this ALU are OP, A, B, and Cin. Outputs are RESULT, and Cout.
- For the following circuit a. Write the output expression. b. Implement the logic circuit using only NOR Gates.Draw a logic circuit that performed by this logic expression: * Ā·(Ē + C) · Ď · E = Y1. Design a logic circuit that has 3 inputs A, B, and Cand one output F. The output of the circuit is to be F = 1if the number of ones in input variables (ABC) is even, otherwise F=0. Construct the truth table. 2. Fnd the minterm expansion for the combinational circuit represented by the following truth table: АВСЕ 0000 0011 0100 0111 1001 1011 1100 1111 Use the editor to format your answer
- 2. Design a circuit that displays the prime and non-prime integers between 0-7. Use a 3x8 Demultiplexer(DEMUX) and 2-input AND gates to implement the design. F1(A, B, C) = 2 (0, 1, 4, 6) FaA, B , C) Σ (2,3,5, 7) 6. 6. Preliminary Work Draw truth tables, Karnaugh maps, logic diagrams and waveforms of the design.2. Consider the circuit below. a. Write the Boolean expression for output F in terms of A, B and C. b. Construct a truth table for the circuit with A as MSB and C as LSB. c. Write the Canonical SOP and POS forms for output F. A B C 3. Draw the logic circuit represented by the expression F(A, B) = AB using no more than 5 units of 2-input NAND gate and write the corresponding Boolean expression.B2. Write the Boolean equation directly from the following circuit: E