1. Design a 4-to-1 multiplexer for the selection lines X1 1 and Xo= 1. 2.Using K- Map, simplify the following Boolean expression : X=(5,8,9,11,14)
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- 1. Design a 16 - to - 1 multiplexer using 4- to-1 multiplexer. 2. Using K- Map, simplify the following Boolean expression : Y = Σ (1,3,5,7,9,10,11,13,14,) 3. Build the logic circuit for the following function using Programmable Logic Array (PLA). ?? = ??? + ??? + ??? + ??? ?? = ??? + ??? + ??? + ???1. Design a 4 - to - 1 multiplexer for the selection lines X1 = 1 and Xo = 1 . 2. Using K - Map , simplify the following Boolean expression : X = ( 5,8,9,11,14 ). 3. Build the logic circuit for the function F1 = XYZ + YŽ + YZ using PALDesign a circuit with logic gates that tell us if a number less than 10, codedin binary, it is either prime (1) or not (0). Minimum up to 16 combinations.True tableII. Boolean functionIII. Simplification procedure by any of the methods
- Prove the equality of the following boolean expression (AB)'.(CD)'=(AB+CD)'.state this theorem.implement using logic gates alsoQ (A, B, C) = A' .B'. C +A' .B. C + A.B.C' + A.B.C Obtain the simplified function with the Karnaugh Map method in terms of minterms and maxters separately. Set the output functions separately with logic gates with ANDNOT for minterms and ORNOT for maxterms.Realize the following function ; " on the image " using a(a) 4-to-1 multiplexer, and draw the logic diagram.(b) 8-to-1 multiplexer, and draw the logic diagram.You may use external gates if needed.
- Q (A, B, C) = A̅ .B̅. C +A̅ .B. C + A .B. C̅ + A.B.C Karnaugh function given in the form Using the mapping method, you can use the simplified function separately in terms of minterms and maxterms. obtain. Output functions with AND NOT for minterms and OR for maxters. Install separately with logic doors.What is the correct input combination for the given logic circuit below if the output is F = 1? a. 1, 1, 1 b. 0, 0, 1 c. 0, 1, 0 d. 1, 0, 0Find the simplest SOP for given expression ;F(W,X,Y,Z)=∑(one,four,six,eight,eleven,thirteen,fourteen)+Ø(seven,twelve)-> use K-map->draw logic circuit (only use NOR gate)->show code as VHDL module Please write step by step your solution and I will be rate your solution then please you don't write spam or wrong answer.
- Consider two binary numbers where the first is made of three bits whichcan be represented by X, Y, and Z, while the second is two bits and isrepresented by A and B. Design a logic circuit that multiplies X Y Z timesA B, using two half adders, one full adder in addition to AND gates.Solve the following in Boolean Algebra: (BC'+A'D)(AB'+CD') A. Simplify the given function using Boolean simplification. B. Draw the logic diagram of the given equation. C. Draw the logic diagram of the simplified equation. D. Give the number of of logic gates used in the given design E. Give the number of logic gates used in the simplified design.. Design a combinational circuit to convert a 4-bit binary number to gray code using(a) standard logic gates,(b) decoder,(c) 8-to-1 multiplexer,(d) 4-to-1 multiplexer.