4. Design a combinational circuit with three inputs x, y, z and three outputs A, B, C. The output is equal to 0 when the input variable has more 1's than 0's and the output is equal to 1 more than the binary input whose input variables have more 0's than 1's. Fill the values in the truth table and draw the logic diagram (few values are filled for reference) X 0 0 0 0 1 1 1 1 y 0 0 1 1 0 0 1 1 Z 0 1 0 1 0 1 0 1 A 0 0 B 0 0 C 1 0
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- 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.4. Design a combinational circuit with three inputs x, y, z and three outputs A, B, C. The output is equal to 0 when the input variable has more 1's than 0's and the output is equal to 1 more than the binary input whose input variables have more 0's than 1's. Fill the values in the truth table and draw the logic diagram (few values are filled for reference) X 0 0 0 0 1 1 1 1 y 0 0 1 1 0 0 1 1 Z 0 1 0 1 0 1 0 1 A 0 0 B 0 0 C 1 04. Design a combinational circuit with three inputs x, y, z and three outputs A, B, C. The output is equal to 0 when the input variable has more 1's than 0's and the output is equal to 1 more than the binary input whose input variables have more 0's than 1's. Fill the values in the truth table and draw the logic diagram (few values are filled for reference) X 0 0 0 0 1 1 1 1 y 0 0 1 1 0 0 1 1 Z 0 1 0 1 0 1 0 1 DB = A'x DA = (AX+BX) A 0 0 B 0 0 5. Design a sequential circuit with two D flip-flops A and B, input x and output Y. The flip-flop input equations and the circuit output equations are as follows: C 1 Y = (A+B)x (Draw the circuit diagram and state table) 0
- Create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement a Subtractor that is capable of subtracting the second number from the first, by converting the second number into its 2's complement form and then adding the resulting number to the first number. You do not need to worry about accomodating the addition or subtraction of negative numbers. Also, create a limited ALU (Arithmetic logic unit) circuit using Logism that implements a Full Adder circuit capable of adding 2 – 4 bit binary numbers and subtracting 2- 4 bit binary numbers. Also, implement the ability to select a bitwise AND operation and a bitwise OR operation. For the ALU it is acceptable to use the Adder and Subtractor circuits that are listed under the "Arithmetic" folder in Logism. (Logism tips and tricks are useful here for multi-bit pins, and how to set up different gates to support more than 1 bit. If using YOUR adder or subtractor circuit in your ALU that is not only acceptable…AO- For the above given logic circuit, the output Y value is =1 when the inputs of A, B, and C are a. None of these O b. A=1, B=1, C=1 O c. A=1, B=1, C=0 O d. A=1, B=0, C=12. Implement the logic circuit and the truth table for the Boolean expressions shown below. X = (A + BC) + (AB) + (CAB) X = A + B[C+D(B+C)] X = ĀB (C+ D)
- 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 Gi1. A combinational circuit is specified by the three Boolean functions: F(A, B, C) = C(A' + B') + AC' + BC' G(A, B, C) = ABC + BC H(A, B, C) = A + B a. b. C. Create a truth table for the circuit. Simplify the expressions using Karnaugh maps. Draw the logic diagram for the circuit using the simplified expressions obtained in part b.Construct the truth table and implement the equivalent logic circuit of (A V B) AC wm m w m m w w v m w m w w w w d w A В C F
- Design a combinational circuit with four inputs— A, B, C, and D —and one output, F . F is to be equal to 1when A = 1, provided that B = 0, or when B = 1, provided that either C or D is also equal to 1. Otherwise,the output is to be equal to 0.1. Obtain the truth table of the circuit.2. Simplify the output function.3. Draw the logic diagram of the circuit, using NAND gates with a minimum number of ICs.4. Construct the circuit and test it for proper operation by verifying the given conditions.A logic circuit has four inputs, A, B, C, and D and its output (E) will be HIGH (i.e. 1) only when A least one of the other inputs are HIGH. a. Construct the truth table. b. Write Boolean expression and simplify (if possible) the expression using Karnaugh Map. c. Draw the logic circuit.Question 2: A combinational circuit has 4 inputs (A, B, C, D) and 1 output (F). ABCD represent a majority function. The output of the majority function is equal to 1 if the input variables have more 1's than O's, otherwise the output is 0. a. Construct the truth table of the required circuit. b. Implement the minimized expression of F using 3-level all NAND gate circuit. Implement a 2-1Multiplexer using three-state buffers.