INPUT OUTPUT A B F 1. 1. 1. 1 1. 1 b. Simplify the above Boolean Expression (which is formed for the above truth table) by using Karnaugh Map. c. Draw the Digital Circuit for the simplified Boolean Expression. 1, 1, lo
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- Using Boolean algebra theorems, simplify the logic expression above as far as possible. Create a Circuit Diagram for the new expression Then create a truthtable for the simplified circuitTask 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 degreesGiven the below terms of the logic expression. F(A, B, C, D) = (2,4,7,10,12); d(A, B, C, D) = (0,6,8) 1. Obtain the KMAP to get minterms and maxterms. 2. Provide the Simplified Boolean Function. (Example: F = A) 3. Generate the Logic Diagram of the Simplified Boolean Function.
- A.Get the Boolean expreession of each output variable B. Simplify the three output boolean expressionC. create a circuit using the simplified boolean expressionFigure (a) shows a combinational logic circuit. It is simulated with a sequence of inputs shown in Figure (b). F(A B.C) Figure (a) B F (A, B, C) Figure (b) a. Determine the output expression for F with the input variables A B and C. Simplify the function using Boolean Algebra technique. b. Sketch the simplified circuit for F. c. Draw the truth table for the function F(A,B,C). d. Determine the timing diagram for the function F(A,B,C) based on the timing diagram given in Figure (b).Using Boolean theorems, simplify the output expression for the circuit in the figure. Show all the steps used to simplify the expression.
- Write the Boolean expression equivalent to the following logic circuit. Do not simplify!IH.W: Draw a logic eircuit of the following Boolean expression before and after simplification using karnough map and Boolean expression. Y-AB+ AB A B Y 1 1Draw truth tables, Karnaugh maps, logic diagrams and waveforms of the design.
- Write the Boolean expression for the logic diagram given below and simplify it as much as possible and draw the logic diagram that implements the simplified expression. Output B. DareSimplify the the Boolean expression as best as possible, show step by step solution and prove it with a truth table. Design the logic circuit of the simplified expression. 1.] ((A'BCD'+B'.C'D)'(A.B'))' 2.] (A+B+C')(A'+B+C')Simplify the the Boolean expression as best as possible, show step by step solution and prove it with a truth table. Design the logic circuit of the simplified expression. 1.] (A+B+C') (A'+B+C') 2.] ((A'BCD'+B'.C'D)'(A.B'))'