Problem_#04] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. Y=AB(C + DEF) + CE(A + B + F) Problem_#05] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. X = A(CD + B) Problem_#06] Derive the SOP and POS expression for the truth table shown below. ABC X 000 1. 0. 0. 001 010 011 100 101 110 111

Problem_#04] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. Y=AB(C + DEF) + CE(A + B + F) Problem_#05] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. X = A(CD + B) Problem_#06] Derive the SOP and POS expression for the truth table shown below. ABC X 000 1. 0. 0. 001 010 011 100 101 110 111

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).
Problem_#06] Using the truth table below, develop a simplified SOP expression using a Karnaugh Map. Inputs Output ABC X 1 000 001 010 011 100 101 110 1 0 1
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1 (a) Verify truth table of all logic gates. (b) Implement logic gates (OR, AND, EX-OR and EX-NOR) using universal gates. (c) Implement Y= A+BC using NAND and NOR gates
The truth table for a Boolean expression is shown on figure1. A, B, C, D are inputs and Y is the output Write the Boolean expression on SOP form Y = f (A, B, C, D) Minimize the function using Karnaugh Map (K Map) Draw the minimized function using logic gates
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Problem_#05] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. X = A(CD + B)
Problem_#10] Develop a SOP Boolean equation and logic circuit given the truth table shown below. INPUTS OUTPUT А В С D 0. 1 1 1 1 1 1 1 1 1 0. 1 0. 1 1 1
(a) Given the Boolean function F = ABC’+ A’BC +AB’C’ + A’BC’ (i) Formulate a truth table for the function (ii) Draw a logic diagram using the original Boolean expression (iii) Simplify the algebraic expression using Boolean algebra or otherwise (iv) Draw a logic diagram corresponding to the simplified expression
4. Convert the following truth table to simplified ladder logic using a Karnaugh map AND Bool- ean equations. The inputs are A, B, C and D and the output is X. A В C D X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Question 1 Derive the minimized Boolean equation for the function F shown in the K-map below. Draw the logic diagram using NAND gates only. 00 01 11 10 АВ 1 00 1 01 X X 1 1 11 X 10 Question 2 Prove that A (B+C) = (A B) + (A C) Monday, December 28, 2020 10:20:38 PM AST