What is 5ED4 - 0694 when these values represent unsigned 16-bit hexadecimal numbers? The result should be written in hexadecimal.

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
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What is 5ED4 - 0694 when these values represent unsigned 16-bit hexadecimal numbers? The result should be written in hexadecimal.

**Hexadecimal Subtraction: Understanding 16-bit Unsigned Numbers**

**Question:**  
What is 5ED4 - 0694 when these values represent unsigned 16-bit hexadecimal numbers? The result should be written in hexadecimal.

**Analysis:**  
To solve this problem, you need to subtract two hexadecimal numbers: 5ED4 and 0694. Both numbers are unsigned and 16 bits in length.

**Steps for Subtraction:**

1. **Align the Numbers:**  
   ```  
     5ED4  
   - 0694  
   ```  

2. **Subtract Digit by Digit from Right to Left:**
   - **4 - 4 = 0**  
   - **D - 9 = 4**  
   - **E - 6 = 8**  
   - **5 - 0 = 5**

3. **Compile the Result:**  
   The subtraction yields 5840.

**Result:**  
The hexadecimal subtraction of 5ED4 - 0694 is **5840**.

Understanding the process of hexadecimal subtraction is crucial for computations in digital electronics and computer science, where hexadecimal is commonly used. Always ensure each arithmetic operation respects the rules specific to the base in question, in this case, base 16 for hexadecimal.
Transcribed Image Text:**Hexadecimal Subtraction: Understanding 16-bit Unsigned Numbers** **Question:** What is 5ED4 - 0694 when these values represent unsigned 16-bit hexadecimal numbers? The result should be written in hexadecimal. **Analysis:** To solve this problem, you need to subtract two hexadecimal numbers: 5ED4 and 0694. Both numbers are unsigned and 16 bits in length. **Steps for Subtraction:** 1. **Align the Numbers:** ``` 5ED4 - 0694 ``` 2. **Subtract Digit by Digit from Right to Left:** - **4 - 4 = 0** - **D - 9 = 4** - **E - 6 = 8** - **5 - 0 = 5** 3. **Compile the Result:** The subtraction yields 5840. **Result:** The hexadecimal subtraction of 5ED4 - 0694 is **5840**. Understanding the process of hexadecimal subtraction is crucial for computations in digital electronics and computer science, where hexadecimal is commonly used. Always ensure each arithmetic operation respects the rules specific to the base in question, in this case, base 16 for hexadecimal.
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