3. Perform the following operations involving four-bit 2's complement numbers and indicate whether arithmetic overflow occurs. Verify your answers by converting to decimal sign- magnitude representation. 0011 +0100 0101 +0110 0101 + 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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## Four-Bit Two's Complement Operations

**Instructions:**  
Perform the following operations involving four-bit two's complement numbers. Indicate whether arithmetic overflow occurs. Verify your answers by converting to decimal sign-magnitude representation.

1. **Operation:**  
   ```
   0011
 + 0100
   ```

2. **Operation:**  
   ```
   0101
 + 0110
   ```

3. **Operation:**  
   ```
   0101
 + 1010
   ```

4. **Operation:**  
   ```
   1011
 + 0110
   ```

5. **Operation:**  
   ```
   1101
 + 1100
   ```

6. **Operation:**  
   ```
   1011
 + 1010
   ```

For each operation, compute the binary result, assess for overflow, and convert both operands and the result into decimal sign-magnitude format to verify calculations.
Transcribed Image Text:## Four-Bit Two's Complement Operations **Instructions:** Perform the following operations involving four-bit two's complement numbers. Indicate whether arithmetic overflow occurs. Verify your answers by converting to decimal sign-magnitude representation. 1. **Operation:** ``` 0011 + 0100 ``` 2. **Operation:** ``` 0101 + 0110 ``` 3. **Operation:** ``` 0101 + 1010 ``` 4. **Operation:** ``` 1011 + 0110 ``` 5. **Operation:** ``` 1101 + 1100 ``` 6. **Operation:** ``` 1011 + 1010 ``` For each operation, compute the binary result, assess for overflow, and convert both operands and the result into decimal sign-magnitude format to verify calculations.
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