Design a logic circuit whose output V is high only when a majority of inputs A,B and C are low. 1. Construct the truth table 2. Derive the canonical expression in short notation (EM). 3. Write the simplified Boolean expression.
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- What is the first step in the combinational logic design process? O a. conceptualize the problem O b. generate the Boolean equations c. derive the Truth table In the majority circuit, a. output is 'l'if 2 or more persons select logic 'T O b. output is T'if exactly 3 persons select logic 1 O c. output is '1' if 1 or more person selects logic '1'A 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.3. Write the Boolean expression equivalent to the following logic circuit. Do not simplify. B A D I D D Y
- Problem: Derive the logic expressions for a circuit that compares two unsigned numbers: X = x2x1xo and Y = = y2y1yo and generates three outputs: XGY, XEY, and XLY. One of these outputs is set to 1 to indicate that X is greater than, equal to, or less than Y, respectively.Task 3: Digital logic circuit analysis - Finding the Boolean expression of a given circuit Find the Boolean expression of the following circuit, draw the circuit on EWB and simulate it to fill-in its truth table shown below. W = Note: the logic converter tool from EWB to fill-in the following table. For that, you need to connect the A, B and C inputs of the logic converter to X, Y and Z lines, respectively. Further, you need to connect the "out' line of the logic converter to W. As shown in the following diagram EDHAIB Logic Converter 000000O00 ABCDEFGH Conversions 1OT AB + 10E + NAND AB C'+A B'C+AB C+AB C+ABC+ABC XTask 3: Digital logic circuit analysis - Finding the Boolean expression of a given circuit Find the Boolean expression of the following circuit, draw the circuit on EWB and simulate it to fill-in its truth table shown below. W = Y Note: the logic converter tool from EWB to fill-in the following table. For that, you need to connect the A, B and C inputs of the logic converter to X, Y and Z lines, respectively. Further, you need to connect the "out' line of the logic converter to W. As shown in the following diagram
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- 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 degrees1. Derive the logical expression of the Full Subtracter Circuit with inputs A,B and C and outputs Diff (Difference) and Br (Borrow). Use K-Map in simplifying the Truth Table outputs expressed as sum of minterms. Required: K Map for Diff K Map for Br Logic Expression for Diff Logic Expression for Br Combined Logic Circuits of Diff and BrComplete the following with the step-by-step procedure. Interpret the problem and set up a truth table to describe its operation. Write the AND (product) term for each case where the output is 1. Write the sum-of-products (SOP) expression for the output. Simplify the output expression if possible. Implement the circuit for the final, simplified expression. Design a logic circuit whose output is HIGH when a majority of inputs A, B and C are LOW.