if x is an int, is the following statement always true? x & 5= = 5 implies (x<<29) <0 True False
if x is an int, is the following statement always true? x & 5= = 5 implies (x<<29) <0 True False
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![### Question:
If \( x \) is an int, is the following statement always true?
\[ x \& 5 == 5 \text{ implies } (x \ll 29) < 0 \]
- ○ True
- ○ False
### Explanation:
This question involves bitwise operations and comparisons. It requires understanding the behavior of bitwise AND (`&`) and left shift (`<<`) operators in binary operations on integers. When analyzing the expression:
- **`x & 5 == 5`**: This checks if the bitwise AND of `x` and `5` results in `5`. This means that the last two bits of `x` must be `101` (since 5 is `101` in binary).
- **`(x << 29) < 0`**: This expression left shifts `x` by 29 bits, and then checks if the result is less than zero. For the output to be negative, the leftmost bit (which is the sign bit in a 32-bit signed integer) must be `1`.
Understanding these operators and their effects on integers is crucial for correctly evaluating whether the statement is true or false.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45088ba1-a1a3-4a96-b462-54f2c0a5a29e%2F569c6480-3e65-497b-aeda-7356db626d02%2F4kuuiq9_processed.png&w=3840&q=75)
Transcribed Image Text:### Question:
If \( x \) is an int, is the following statement always true?
\[ x \& 5 == 5 \text{ implies } (x \ll 29) < 0 \]
- ○ True
- ○ False
### Explanation:
This question involves bitwise operations and comparisons. It requires understanding the behavior of bitwise AND (`&`) and left shift (`<<`) operators in binary operations on integers. When analyzing the expression:
- **`x & 5 == 5`**: This checks if the bitwise AND of `x` and `5` results in `5`. This means that the last two bits of `x` must be `101` (since 5 is `101` in binary).
- **`(x << 29) < 0`**: This expression left shifts `x` by 29 bits, and then checks if the result is less than zero. For the output to be negative, the leftmost bit (which is the sign bit in a 32-bit signed integer) must be `1`.
Understanding these operators and their effects on integers is crucial for correctly evaluating whether the statement is true or false.
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