4.Given the function F(xy,z) = xyz + xyz + xyza) List the truth table for F.b) Draw the logic diagram using the original Boolean expression.c) Simplify the expression using Boolean algebra and identities.

Step 1: Truth table with explanation Step 2: Logic diagram and simplified expression

Answered: 4. Given the function F(xy,z) = xyz +…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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5- For the Boolean function: F=XY'Z+X'YZ+W'XY+ WX'Y+ WXY (a) Obtain the truth table of F. (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part (b).
For the Boolean Function F = xy'z + x'y'z + w'xy + wx'y + wxy a) Obtain the truth table of F. b) Draw the logic diagram, using the original Boolean expression. c) Use the Boolean algebra to simplify the function to a minimum number of literals. d) Obtain the truth table of the simplified function, and show that it is the same as one in part (a). e) Draw the logic diagram of the simplified function, and compare the total number of gates with diagram of the part (b).
5- For the Boolean function: F= XY'Z+X'Y'Z+W'XY+ WX'Y+ WXY (a) Obtain the truth table of F. (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part (b).
Simplify the below expressions a) By using Boolean algebra b) By using Karnaugh maps. i) z=xy+xy' ii) z= x+xy
5- For the Boolean function: F= XY'Z +X'Y’Z+W'XY+ WX'Y + WXY (a) Obtain the truth table of F. (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the funetion from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part (b).
For the Boolean function given as: F = xy'z + x'y'z + w'xy + wx'y + wxy a) Obtain the truth table of F. b) Draw the logic diagram, using the original Boolean expression. c) Use Boolean algebra to simplify the function to a minimum number of literals. d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a) e) Draw the logic diagram from the simplified expression, and compare the total number of Gates with the diagram of part (b)
Q6. For the Boolean function F = xy'z + x'y'z + w'xy + wx'y + wxy (a) Obtain the truth table of F (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals. Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (d) (e) Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part (b).
Q2: Given the Boolean function F = xy'z + x'y'z + w'xy + wx'y + wxy (a) Obtain the truth table of the function. (b) Draw the logic diagram using the original Boolean expression. (c) Simplify the function to a minimum number of literals using Boolean algebra.
Q2: Given the Boolean function F = xy'z + x'y'z +w'xy + wx'y + wxy (a) Obtain the truth table of the function. (b) Draw the logic diagram using the original Boolean expression.
Write the following Boolean function in disjunctive normal formF(x, y, x) = (x + ¯y)(¯x + ¯z).
12. Simplify the boolean expression Z = (A + A) using boolean algebra.
For the Boolean function F (w,x,y,z)= xy'z + x'y'z + w'xy (a) Obtain the truth table. (b) Draw the logic diagram. (c) Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the function from the simplified expression (c) and show that it is the same as the one in part (a). (e) Draw the logic diagram from the simplified expression (c).

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4. Given the function F(xy,z) = xyz + xyz + xyz a) List the truth table for F. b) Draw the logic diagram using the original Boolean expression. c) Simplify the expression using Boolean algebra and identities.