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
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
Section: Chapter Questions
Problem 1PE
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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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