Matching logic expressions with their truth tables.   Question 1 options:   a  b  x 0  0  0 0  1  1 1  0  1 1  1  0   a  b  x 0  0  1 0  1  1 1  0  1 1  1  0   1. x = a XOR b 2. x = a NAND b 3. x = a NOR b   Order the precedence from high to low for following Boolean operators.   Question 10 options:   OR   AND   complement   Please map commutative, associative, and distributive laws of Boolean algebra theorems with corresponding equations.   Question 7 options:   (x + y) + z = x + (y + z) (xy)z = x(yz)    x+y = y + x xy = yx     x + (y · z) = (x + y) · (x + z) x · (y + z) = (x · y) + (x · z)   1. Commutative Law 2. Associative Law 3. Distributive Law

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
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Question

Matching logic expressions with their truth tables.

 

Question 1 options:

 

a  b  x

0  0  0

0  1  1

1  0  1

1  1  0

 

a  b  x

0  0  1

0  1  1

1  0  1

1  1  0

 
1.

x = a XOR b

2.

x = a NAND b

3.

x = a NOR b

 

Order the precedence from high to low for following Boolean operators.

 

Question 10 options:

 
OR
 
AND
 
complement

 

Please map commutative, associative, and distributive laws of Boolean algebra theorems with corresponding equations.

 

Question 7 options:

 

(x + y) + z = x + (y + z)

(xy)z = x(yz) 

 

x+y = y + x

xy = yx

 

 

x + (y · z) = (x + y) · (x + z)
x · (y + z) = (x · y) + (x · z)

 
1.

Commutative Law

2.

Associative Law

3.

Distributive Law

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