### Understanding n-bit 2's Complement ArithmeticThe concept of 2's complement is crucial in digital systems for representing signed numbers and performing arithmetic operations. Below are some key concepts and practical problems related to n-bit 2's complement numbers.#### Question Analysis:**4. The result of n-bit 2's complement addition is always correct (regardless of carry out) as long as the result falls into the range of n-bit 2's complement.** This statement emphasizes the importance of understanding the range and behavior of 2’s complement numbers during arithmetic operations.**a) What is the range of 3-bit 2's complement?**In an n-bit 2's complement system, the range is from \(-2^{(n-1)}\) to \(2^{(n-1)} - 1\).- For 3 bits, the range is from \(-2^{(3-1)} = -4\) to \(2^{(3-1)} - 1 = 3\). **b) What is the range of n-bit 2's complement?**In general, for an n-bit system, the range is:\[ -2^{(n-1)} \text{ to } 2^{(n-1)} - 1 \]This provides a way to determine the limits of representable values in any n-bit 2's complement system.**c) Perform (10+9) in 5-bit 2's complement, is there overflow?**1. **Convert to 5-bit 2's Complement:** - 10 in 5 bits: 01010 - 9 in 5 bits: 010012. **Addition:** - 01010 (10) - +01001 (9) - ------ 10011 (Addition result)3. **Check for Overflow:** - In 5-bit 2's complement, the range is \(-16\) to \(15\). - The result `10011` is -13, which is within the range. - Therefore, there is no overflow, but the arithmetic result should be carefully interpreted to confirm whether it's as expected.Understanding the addition and associated rules of overflow detection ensures reliability in computations using 2's complement representations.

2's complement means simply converting 1's as 0's and 0's as 1's. Generally, 2's complement is done…

4. The result of n-bit 2's complement addition is always correct (regardless of carry out) as long as the result falls into the range of n-bit 2's complement. a) What is the range of 3-bit 2's complement? b) What is the range of n-bit 2's complement? c) Perform (10+9) in 5-bit 2's complement, is there overflow?

4. The result of n-bit 2's complement addition is always correct (regardless of carry out) as long as the result falls into the range of n-bit 2's complement. a) What is the range of 3-bit 2's complement? b) What is the range of n-bit 2's complement? c) Perform (10+9) in 5-bit 2's complement, is there overflow?

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 9) Find the negative binary code of the 38. Hint: find the 1s complement first, then add one to the 1s complement to find the 2s complement. The 2s complement is negative 38, -38, in 8-bit binary code.
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If the 5-bit 2’s complement of X is equal to 01010, then
Pls send me answer of this question immediately and i will give you like sure sir please.
In single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa. (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?
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