Write the logic expression that represents the output of the following circuit as a function of its inputs. (Do not simplify your expression). OUT Use logic rules to simplify your expression. Show each step and state the law of logical equivalence that are applying at each step. Draw the circuit corresponding to your simplified expression.
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- We consider a circuit having four inputs and one output. The output has the value 1 if at least half of the inputs have the value 1. In this case, the circuit is a not-a-minority circuit. 1) Build a truth table for the circuit presented in the description above. 2) Using this truth table, find a Boolean expression which represents the same function, and by using Boolean algebra, simplify it as much as possible. 3) Verify the design of the circuit.1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)č. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC). Write the Boolean expression that is equivalent to the following circuit. D 2. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert columradings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings.5. Consider the circuit below: A- B- C- a. Write the Boolean expression modeled by the circuit. Above. Use Boolean Algebra notation: A, (for not A); AB (for A and B), A + B (for A or B), A Ð B (A xor B), etc. b. Evaluate the output of each gate, including the final gate, given that A= 1, B=1 and C=1 Write your evaluation of each gate above each gate and include a screen shot
- Design a circuit to implement the following truth table, where A and B are inputs and Z is the output. Give the Boolean equation that implements the circuit in the space provided. There may be more than one possible correct answer. You only need to list one possible correct answer. Input Output A B Z 0 0 1 0 1 0 1 0 1 1 1 1Draw logic diagram of the circuit that implement the original and simplified expression in part 4. This is included with part 4 aboveTask 4: Simplifying Boolean functions Simplify the following Boolean expression F (A, B, C) = (A+C") +C (C.A' + (B.A) +C Draw the simplified Boolean expression using EWB. Find out the truth table of the circuit.
- 1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)T Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC) Write the Boolean expression that is equivalent to the following circuit. B. D.6. For the following Verilog code, draw the corresponding circuit diagram for "bigMod". Your circuit should only involve standard gates (AND, OR, NAND, NOR, XOR, Inverter), and the variable names Val, X, Y, and Z. DO NOT SIMPLIFY THE CIRCUIT. Note: all of the code is legal Verilog, with no errors. module tstMod (F, A, B, C); output logic F; input logic A, B, C; assign F endmodule = (A & ~B & C) | (A & C) | ~B; module bigMod (Val, X, Y, output logic Val; input logic X, Y, Z; logic T; Z); .C (Y)); tstMod T1 (.F (T), .A (X), .B (1'bl), tstMod T2 (.F (Val), .A(Z), .B (T), .C (X)); endmodulea. Write a sum-of-products Boolean expression bexp3 for the output ? of this truth table. b. Draw a circuit that is a direct translation of bexp3 without any simplification. For the circuit, try to use the same input order and layout convention as in the example shown below
- 9. Construct a truth table summarizing the operation of this circuit: A B C Out 10. Write a boolean expression for the circuit shown above. (Note: Do not simplify it.) 11. Write the simplified boolean expression for the circuit based on the truth table. 12. Picnics are enjoyable on sunny days that have no ants. They're also enjoyable anytime there's a hummingbird, as well as on days where there are ants and ladybugs. Write a Boolean equation for picnic enjoyment (E) in terms of sun (S), ants (A), hummingbirds (H), and ladybugs (L).Q1. A logic circuit implements the following Boolean function: F= A'C + AC'D' It is found that the circuit input combination A = C = 0 can never occur. Find a simpler expression for F using the proper don't care conditions. Design the logic circuit using the expression you find.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…