You are now given a new circuit and you are to derive a Boolean expression for
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A: Here is the solution:-
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Q: - Write the truth table and logic equation represented by this circuit?
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Q: Q3/ Find the equation for the below circuit, simplify it, and then write truth table. в А
A:
Q: De Find F for this circuit
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Topic: Boolean Algebra
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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.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 shot1. 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.
- 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.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.C1. Consider the designing of a synchronous circuit to detect the sequence 0110. The circuit has a single input x, and a single output z. The output is logic-l whenever the input sequence 0110 is detected, logic-0 otherwise. Note that overlapping sequences are allowed. Answer the following questions: a. Complete the following state diagram of the circuit: 1 so s1 S2 S3 S4 b. Draw and fill the state table of the circuit. c. Write the equations of the state variables and the output Z.
- Task 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.implement the following circuit. Write the boolean expression describing its outputsThere are two major courses A and B, and two minor courses C and D in a department. A student can graduate if he or she passes: Both the major courses A and B or One major course and both minor courses C and D. Design a circuit to determine if the student can graduate or not. Part a: Determine the truth table. Hint: Use the name of the courses as the input variables of your truth table. i.e., A, B, C, D. Variable A is 1 if a student passes course A, otherwise 0. Part b: Write the function in sum of minterms form and simplify using K-map. Part c: Implement the simplified function on proteus and attach its screenshot. Note: Use 4-bit binary of your roll number’s last digit to show output in the screenshot. Part d: Implement the simplified function on virtual breadboard and attach its screenshot. Note: Use 4-bit binary of your roll number’s last digit to show output in the screenshot.
- Question 8: Draw the circuit that implements each of the following equations: B + AC' (W + Y)' + X' (B + A'D) + (BC)' (W' + XY)' + (VWX' + Z)'Consider a digital logic circuit that has three inputs, A, B, and C, and the output of the digital circuit is LOW only when a majority of the inputs are HIGH. Note that HIGH represents that the output is 1, and LOW represents that the output is 0.a) Interpret the problem to set up a truth table to describe its operation, relating the inputs and the outputs of the circuit. b) Based on the truth table, write the standard sum-of-product (SOP) expression for the output function c) Implement the logic circuit (sketch the logic circuit diagram) for the final simplified SOP expression using logic gatesCreate an implementation using 2-input NAND gates only for the following equation. You may use inverter symbols internally and/or inversion symbols ( ) on the inputs as has been done in the example with the understanding that these would be replaced with 2-input NAND gates with inputs tied together. Be sure to minimize your SOP equations before conversion the NAND-only. f(a, b, c, d) = c'd + c(b' + d)