5. (a) Obtain the Boolean expression from the logic circuit. (b) Minimize the obtained expression using Boolean rules and design the logic circuit with minimum number of gates. Construct the truth table for the minimized Boolean function. x X Y Z 2
Q: Q1: Produce truth table from the given logic circuit and give the Boolean expression : F1 F3 F2 C AB
A: So first we will simplify the expression then we can write truth table.
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- Task 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'C(i) Identify the Boolean expression for the given logic diagram and obtain the truth table. A B C. (ii) Simplify the identified expression using the Boolean rules, laws and theorems. Draw the truth table for the simplified Boolean expression. Construct the circuit for the simplified expression. u. 3.Obtain the Boolean expression from the logic circuit. Minimize the obtained expression using Boolean rules and design the logic circuit with minimum number of gates. Construct the truth table for the minimized Boolean function.
- Combinational Circuits - Design Procedure Design a logic circuit that has three inputs A, B, C and whose output will be HIGH only when a majority of the inputs are HIGH. 3-A. Generate the truth table. 2-B. Obtain the KMAP. 3-C. Provide the Simplified Boolean Function. 3-D. Generate the Logic diagram of the simplified Boolean function.Problem 6. Draw a logic diagram of your own provided that it has at least three inputs and three gates (NOTS are not counted). Write the Boolean expression (function) and generate the truth table for this circuit.4. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert column headings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings. A B. D In the circuit implementation of an 8-bit adder, explain why the carry bit connection of the least- significant bit is connected to ground. Explain in words what values for A, B, C, D, E will cause a 1 to appear at point X. A B E
- Task One: Air conditioning (AC) control system Design a simple AC control system that receives a signal from a digital thermometer sensor. Depending on the room temperature, the signal will control the air conditioner to operate in Heating, Ventilation, or Cooling modes. The digital thermometer signal produces a 4-bit binary number proportional to temperature, where 0000 represents 0 degrees and 1111 represents 48 degrees (so each binary number represents a multiple of 3 degrees). Consider the following specifications in your combinational logic circuit design: Whenever the temperature is less than T₁, the AC should operate in Heating. Whenever the temperature is greater than T2, the AC should operate in Cooling. Whenever the temperature is between T₁ and T2, the AC should operate in Ventilation. Where: T₁ = 14 + (your last digit of your university ID) mod 4 degrees T₂ = 17+ (your last digit of your university ID) mod 4 degreesA B Prepare the truth table of the logic circuit (logic circuit) on the right. Then, using the truth table, write the function you have obtained according to the SOP (minterm) without any simplification and draw the logic circuit for the new function you have obtained. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.a.) Write the boolean algebraic equation for Q in terms of A and B. b.) Simplify the equation using boolean algebra. c.) Create a four state truth table for Q in terms of A and B. d.) Which gate does the diagram represent.
- Create a circuit to generate odd parity bit for a 3-bit code. a. Construct the truth table. b. Use K-map to simplify the circuit. c. Draw the circuit with minimum number of gates. (I did the question myself, but I'm confused as to why the K-map does not provide the simplified circuit to build the minimum number of gates)A Write the Boolean expression of the following Logic diagram. B C D=Write the Boolean expression that represents the combinational circuit, write the logic table and simplify the following using SOP. Please show complete solution. Thank you!