Draw the logic circuit diagram for the expression and its truth table Z = ((W . Z)' . (X' + Y)) + (W' . Y))
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- 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.Design a logic circuit with four inputs and one output that will produce "l" in the output only if the input patterns have odd number of zeros. a) Write the Boolean equation for the circuit in the simplest SOP form. b) Draw the logic circuit for the above equation in its simplest form. c) Re Design the logic circuit using NANI) gates only?(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 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.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 circuit4. 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.
- 61 Design a combinational logic circuit that accept (4-bit) binary number (A) and generate an output binary number (X), if you know that (X = 2's complement (A) ): a. Draw the system block diagram. b. List the truth table. c. List the algebraic expressions in SOP. d. List the algebraic expressions in POS. e. Draw the logic diagram.5. Consider the Boolean expression xy'z + xyz' + xyz a. Draw the Logic network for this expression b. Simplify this expression using i. Analytical methods ii. The K-map c. Draw the logic network of the simplified expression.A logic function is expressed by the equation = 0.1.8.9.4. Plot the the values on the K-map below Note: w is the msb (most significant bit) 3 x 10 0- - W X 1 00 01 Write the simplified Sum of Products (SOP) expression. Use yz WIM or "" for NOT; 11 10 for AND; "+" for OR (without the quotation marks.
- Figure (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).4 O T O 1.2 For the given Boolean expression below, implement the logic circuit without simplifying it. Not{Not((A' + B')C)} + Not(Not(C'D)} Filters Add a caption.4. Simplify the Boolean expression AB+(AC)`+AB`C(AB+C) 5. Use the Design Procedure to design a device that will change serial data to parallel data. 6. Simplify the given expression to its SOP form. Draw the logic circuit for the simplified SOP function.