3. f[x,y,z] = minterms [0,1,5,6]
a. show on a Venn Diagram
b. show on a truth table
c. draw a circuit for it
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3. f[x,y,z] = minterms [0,1,5,6] a. show on a Venn Diagram b. show on a truth...
Write F(x, y, z) = (x + z) (x + y) + (y + z) as a sum of minterms. Draw the circuit for F(a, b, c) = pi (3, 4, 6, 7)
Boolean Logic A. Show the truth table for this expression: X AND (Y XOR X) B. Show the truth table for this expression: Y OR (Y AND NOT X) C. Show the truth table for this expression: X NOR (Y NAND X) D. Draw a digital logic circuit for the expression used in 3A. E. Draw a digital logic circuit for the expression used in 3B. F. Draw a digital logic circuit for the expression used in 3C.
4. Draw a system diagram and generate a truth table for the function. F(X, Y, Z) - XY Y.Z+Z'Y
7) Construct the truth table for the function F(X,Y,Z) = Y’Z+ X Z’ 8) Draw the logic circuit for the function F(X,Y,Z) = Y’Z+ X Z’
Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the logic diagram using the original Boolean expression (c) Simplify the expression (using any method you know) (d) Draw the logic diagram for the simplified expression.
Given the following truth table, where X, Y, and Z are input and W is output, write the canonical expression and generate gate-level logical circuit (draw the wire diagram). Given the following truth table, where X, Y, and Z are input and W is output, write the canonical expression and generate gate-level logical circuit (draw the wire diagram). 0 01 0 0 100O 0 110 (0
The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(2,7,10,13,14) + d(5,6,15) a) Draw the K-map for the given function F. b) What is the minimized SOP equation? c) Give all input pairs in the form of WXYZ where a transition between them would create a timing hazard. d) Draw the timing diagram showing the hazard for one of the cases. Assume ALL gate delays are equal. e) Provide the expression of an equivalent logic function...
6. Given F(x,y,z) = x'yz + xz (20 points) 1) Express F as a sum of minterms using algebraic manipulation. (5 points) F(x, y, z)= (x'y + 2) Draw the truth table for F (5 points) 3) Implement the original function F using 2-input gates. (5 points) 4) Simplify Fusing algebraic mplify F using algebraic manipulation. (5 points)
(2) (5 pomis) TL A-011000103, B = 011011012. Clearly 3. Conversion between truth table, circuit diagram and Boolean function. (1) (6 points) For the circuit below, write the Boolean expression F(A, B, C). Then write down the truth table for F. (2) (4 points) Draw a circuit schematic diagram which implements the following Boolean function. (Don't simplify the expression.) F(X2, X1, Xo) = x;'(x2+xo)' + xo'X1X2 (3) (10 points) The output of a logic function F(A,B,C) is one only if...
5. If possible, draw Venn Diagrams illustrating the following conditions: (a) (A B) = (Cr) B), and A C. (b) (A u B) (C u B), and A = C. 6.-7. Prove or disprove using Truth Tables that 8. Let X = { a, b, c }, Ys { 2, 3 }. List the elements of (a) Y x X (b) Yx Xx Y 9-12. Given the following formula, shade in the area of the Venn diagram that it represents....