c) Explain the functionality of the circuit in Fig B4 using truth table. Write a Booleanexpression for X.MFig. B4

Answered: c) Explain the functionality of the…

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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Comp Acrchitecture Problem 1 and 2 help
Consider the combinational circuit shown in Fig. 3.1.4. i) Derive the Boolean expressions for T₁ through T4. Evaluate the outputs F₁ and F₂ as a function of the four inputs. ii) List the truth table with 16 binary combinations of the four input variables. Then list the binary values for T₁ through T4 and outputs F₁ and F₂ in the table. iii) Plot the output Boolean function obtained in part (ii) on maps and show that simplified Boolean expressions are equivalent to the ones obtained in part (i) T3 A B C D D NY F₁ -F₂
8. Construct the truth table and the Boolean expression for the following circuit. A B
Cse
8. Minimize the following boolean expression, Z, using the Boolean Identities. (Hint: final expression has 2 terms and 3 literals) a. Z(r, y, z) = y'z + a'(zy)'+ (x' +y+2)' b. Draw the 2-level AND-OR gate network for the simplified expression of F.
7. Given the following truth table, write an algebraic expression for the function F, simplify the expression, and then draw a logic circuit for it. A C F 1 1 1 1 1 1 1 1 1 1 1 1
Problem_#02] Write an expression for X, given the logic circuit shown below. A C D-
construct the logic circuit and write the truth table for the following expression : F= AB+C
A)Write the expression related to the logic circuit given above as the sum of products.b) Simplify the expression using the axioms and theorems of Boolean algebra.
Derive the function f of the following circuit.
5. Consider the circuit diagram in Fig. 1 a. Write the Boolean expression for the function F(x, y, z) b. Construct the truth table describing the outputs of the circuit F(x, y, z). c. Express the function F (x.y,z) as product of maxterms. Please give your answer as a function of x, y, and z. Do Fig. 1 for Question 5
5. Find the Boolean expression for the following circuit, and simplify it. SHOW YOUR WORK. A В

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A	M	C	(A) & (M)	(M) & (C)	(C) & (A)	(A) & (M) & (C)	(M) \|\| (M&C)	(A&M) \|\| (C&A) \|\| A&M&C)	[(M) \|\| (M&C)] \|\| [ (A&M) \|\| (C&A) \|\| A&M&C)]
1	1	1	1	1	1	1	1	1	1
1	1	0	1	0	0	0	1	1	1
1	0	1	0	0	1	0	0	1	1
1	0	0	0	0	0	0	0	0	0
0	1	1	0	1	0	0	1	1	1
0	1	0	0	0	0	0	1	1	1
0	0	1	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	0	0

c) Explain the functionality of the circuit in Fig B4 using truth table. Write a Boolean expression for X. A M