(a) Write the Truth Table for the Boolean expression X m (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. (c) Obtain the expression from the following diagram? B. and
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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 degreesA.Get the Boolean expreession of each output variable B. Simplify the three output boolean expressionC. create a circuit using the simplified boolean expressionDraw 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.
- 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.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.(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.C
- 4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map. ii. Construct the logic diagram using OR-AND gate network with simplified POS expression iii. Construct the logic diagram using only NOR gates with simplified POS expression.2. The Boolean Algebra expression is given as Q = Ā(BC + BC + BC) + ABC a. Convert this logical equation into an equivalent SOP term. b. Use a truth table to show all the possible combinations of input conditions that will produce the output Q. c. Draw a logic gate diagram for the expression. d. Simplify the expression Q using Boolean Algebra. e. Draw the logic gate diagram of the simplified output Q.Required: 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.
- For the logic circuit shown: 1. Write the Boolean expression that directly implements this circuit. 2. Simplify the Boolean expression using Boolean identities. Identify the identities used as each step. 3. Simplify the Boolean expression using a Karnaugh map. Show the sum of products form, the truth table, resulting map with the groupings marked, and the simplified expression. 4. Draw the combinational circuit resulting from the simplified circuit.Draw a logic circuit for ?̅ ∙ ??. Create truth table for this expression. What logic gate is this equivalent to? What Boolean Algebra identity is it?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)