(a) Write the Truth Table for the Boolean expression X Em (0, 1, 3, 5, 7) Write the POS expression for this truth table as a function of input variables. (b) For a two-input OR gate, Find the standard SOP and POS expressions as a function of input variables.
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- Draw a logic circuit for (A + B)C. For a special case B=C, create truth table for this expression. What value did you get? Compare your result with the list of Boolean Algebra identities.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 degreesRequired: 0. Write Boolean expression For each Row in Table.1. Draw a k-map table based on the logic/truth table above. explain how you make k-map.2. Group the implicants (those 1s inside the k-map table) accordingly. Allowed groupings are 1, 2, 4, 8, 16, …, n.3. Write the Boolean expression based on the k-map table.4. Draw the logic gates diagram of the Boolean expression. Note:- please Solve with complete explanation.I Need step by step with explanation as I*m beginner in K-Map. will Surely Upvote. Will appreciate if Handwritten Solution.
- (m. Simplify the given expression using Boolean algebra and implement the simphifie expression using basic logic gates. Y = A.B.C+ A.B.C + A.B.C + A.B.CDetermine the Boolean expression for the logic circuit shown in Figure below. Simplify the Boolean expression using Boolean Laws and De Morgan's theorem. Redraw the logic circuit using the simplified Boolean expression and develop its truth table. A B Co- FConsider this logic expression. X = (A AND B) OR (B AND NOT C) Draw a logic circuit for this logic expression.
- A.Get the Boolean expreession of each output variable B. Simplify the three output boolean expressionC. create a circuit using the simplified boolean expressiona.) 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.Report : For the following logic diagrams write the Truth table, Boolean expression, simplify the Boolean expression, and then draw it? A- Figure(1) B- Figure(2) B Figure(3)
- 4 Design a combinational logic circuit that accept (2-bit) mumber (A) and generate an output binary mumber (X) equal to the square of input (X - A) a. List the truth table. b. Write the Boolean expressions for the output (X). c. Draw the logic circnit.Q2 Determine the Boolean expression for the logic circuit shown in Figure below. Simplify the Boolean expression using Boolean Laws and De Morgan's theorem. Redraw the logic circuit using the simplified Boolean expression and develop its truth table. A Co- F*A traffic light system uses logic gates as part of the control system. The system is operated when the output D has the value . This happens when either (a) signal A is red or (b) signal B is green and signals B and C are both red( NOTE: Assume for this problem that red=0 and green =1) Deduce the truth table for the system and the Boolean expression from the truth table, Hence Design a logic circuit or network