The steps given below will be applied on the Boolean function F(A,B,C,D)- II (3,7,11,14,15) a) Fill in the truth table. b) Write the canonical POS representation. c) Implement the Boolean function by using a single 4-to-16 line decoder and an OR gate.
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- 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.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 degrees
- 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 circuita.) 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.Design a 4-bit Gray Code to Excess-3 code converter. include the truth table, k-map, and simplified Boolean Function.
- I was able to fill out the truth table for part A. I ONLY need help for PART B. B) Implement the logic function (z) using the multiplexer 74HC151 shows in the picture.Boolean function (F) with 4 inputs (A,B,C,D) with truth table given below. a) 16-to-1 b) 8-to-1 c) 4-to-1 d) 2-to-1 Perform it using the “multiplexer”. Note: Logic gates other than multiplexer you can use.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'BCD'+B'.C'D)'(A.B'))' 2.] (A+B+C')(A'+B+C')
- K-Maps & Gate-level Minimization Given the following Boolean expression: F = AB' + AD + AC' + A'CD 1. Generate the Truth Table for the given expression. 2. Generate the Logic diagram of the Simplified Boolean function. 3. Using the Simplified Boolean function, create the logic diagram using NAND gates only. 4. Using the Simplified Boolean function, create the logic diagram using NOR gates only.We want to perform subtraction operation in which we need a full subtractor. First draw Truth table for full subtractor. Due to pandemic you are unable to get the desire component. but you have only eight- to-one multiplexers with you. What do you think, can you still perform subtraction operation with multiplexer or not? If yes, draw the logic 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