III.Integer puzzlesCheck if the statements are always true?1. x < 02. ux >= 03. x & 7 == 74. ux>-15. x > y6. xx >= 0Initializationint x = foo();int y = bar();unsigned ux = x;unsigned uy = y;=> ((x+2) < 0)=>(x<<30) < 0=> -x < -Y7. x > 0 && y > 0 =>8. x > 0=>9. x < 0=>10. (x-x) >>31 == -111.ux >> 3 == ux/812.x >> 3 == x/813.x & (x-1) != 0x + y > 0-X <= 0-X >= 0

Answered: Integer puzzles Check if the statements…

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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III.
Integer puzzles
Check if the statements are always true?
1. x < 0
2. ux >= 0
3. x & 7 == 7
4. ux>-1
5. x > y
6. xx >= 0
Initialization
int x = foo();
int y = bar();
unsigned ux = x;
unsigned uy = y;
=> ((x+2) < 0)
=>
(x<<30) < 0
=> -x < -Y
7. x > 0 && y > 0 =>
8. x > 0
=>
9. x < 0
=>
10. (x-x) >>31 == -1
11.ux >> 3 == ux/8
12.x >> 3 == x/8
13.x & (x-1) != 0
x + y > 0
-X <= 0
-X >= 0

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Since you have posted a question with multiple sub parts, we will provide the solution only to the first three sub parts as per our Q&A guidelines. Please repost the remaining sub parts separately.

The int and unsigned int have a size of 4 bytes. The value of the integer ranges from -2,147,483,648 to 2,147,483,647. The value of an unsigned integer ranges from 0 to 4,294,967,295.

The & operator is used to perform bitwise AND between two values. The AND operator returns 1 if both the operand bits are 1.

The << operator is used to perform the left shift of the bits in a value.

The == operator checks the equality of two values and returns true if they are equal.

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