Solve each of the following problems in two's complement notation, but this time watch for overflow and indicate which answers are correct because of the phenomenon. 1. 0100 + 0011, 2. 0101 + 0110, 3. 1010 + 1010

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
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Solve each of the following problems in two's complement notation, but this time watch for overflow and indicate which answers are correct because of the phenomenon. 1. 0100 + 0011, 2. 0101 + 0110, 3. 1010 + 1010

Expert Solution
Step 1: General process to perform the asked operation

To solve these problems in two's complement notation, you can follow these steps:

  1. Add the binary numbers as you normally would, but if there is a carry-out(overflow) of the most significant bit (MSB), ignore it.

  2. If the MSB(overflow) of the result is 1, it indicates a negative number. In two's complement notation, convert it back to decimal by taking the two's complement of the result and adding a negative sign.

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