### 2's Complement Addition Problem**Question:**What’s the result of adding the following two numbers in 2's complement system (Assume we’re limited to 6-bits)? If result is invalid because of overflow, select that option. 111110 + 011001**Options:**1. None of these2. 10101113. 1010114. 0101115. Result is invalid because addition generates an overflow**Explanation:**When performing addition in a 2's complement system, it's important to consider the bit limitation and potential overflow. In this case, we are adding two 6-bit numbers.1. **Binary Addition:** ``` 111110 + 011001 -------- 1010111 ```2. **Check for Overflow:** The resultant binary number, `1010111`, is a 7-bit number, meaning it exceeds the 6-bit limit. Therefore, this causes an overflow.**Correct Answer:** - Result is invalid because addition generates an overflow.This problem helps illustrate the concept of overflow in binary arithmetic within the context of 2's complement representation, which is crucial for understanding computer arithmetic logic.

For 2's complement we first invert the bits and then add 1 to the LSB. Step 1: First add the numbers…

What's the result of adding the following two numbers in 2's complement system (Assume we're limited to 6-bits)? If result is invalid because of overflow, select that option. 111110 011001 O None of these O 1010111 O 101011 O 010111 O Result is invalid because addition generates an overflow

What's the result of adding the following two numbers in 2's complement system (Assume we're limited to 6-bits)? If result is invalid because of overflow, select that option. 111110 011001 O None of these O 1010111 O 101011 O 010111 O Result is invalid because addition generates an overflow

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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