Write a program that reads in two hexadecimal numbers from a file, hex.txt, and prints out the sum of the two numbers in DECIMAL. (As noted in class, first do this without using a file and by reading using the cin>> command) From Wikipedia: "In mathematics and computer science, hexadecimal (also base 16, or hex) is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F (or alternatively a-f) to represent values ten to fifteen. For example, the hexadecimal number 2AF3 is equal, in decimal, to: (2 * 16) + (10 * 16) + (15 * 16') + (3 * 16"), or 10,995." For example, if the file contains: 45AF 12B3 ...your program will the result in decimal: The decimal sum of 45AF and 12B3 is 22626. (To check your results, you can go to a hexadecimal calculator on the web. For example, http://www.esgnetwork.com/hexaddsubcalc.html ) To solve this problem: a) Read the hexadecimal numbers as character arrays b) Convert the character arrays to numbers (by calling a function that takes the character array as a parameter, and returns an integer) c) Add the numbers to get a decimal sum

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### Hexadecimal Number Addition in Decimal

This guide details how to write a program that reads two hexadecimal numbers from a file named `hex.txt` and prints out the sum of these two numbers in decimal. 

#### Step-by-Step Instructions

1. **Initial Setup**:
    - Write the program first without using a file, reading directly using the `cin>>` command for input.

2. **Understanding Hexadecimal**:
    - Hexadecimal, also known as **base 16** or simply **hex**, is a positional numeral system with a base of 16.
    - It uses sixteen distinct symbols: the numbers 0–9 to represent values zero to nine, and the letters A, B, C, D, E, F (or alternatively a–f) to represent values ten to fifteen.
    - For example, the hexadecimal number `2AF3` is converted to decimal as follows:
        - \(2 \times 16^3 + 10 \times 16^2 + 15 \times 16^1 + 3 \times 16^0\)
        - This equates to \(2 \times 4096 + 10 \times 256 + 15 \times 16 + 3 \times 1 = 10,995\).

3. **Example**:
    - If the file `hex.txt` contains:
      ```
      45AF
      12B3
      ```
    - The program should output the decimal sum:
      ```
      The decimal sum of 45AF and 12B3 is 22626.
      ```
    - For verification of results, you can use an online hexadecimal calculator, such as [CSG Network Hexadecimal Calculator](http://www.csgnetwork.com/hexaddsubcalc.html).

4. **Solution Approach**:
    - **Reading Hexadecimal Numbers**:
        - Read the hexadecimal numbers as character arrays.
    - **Conversion to Decimal**:
        - Convert the character arrays to their decimal equivalents by calling a function that takes the character array as a parameter and returns an integer.
    - **Addition**:
        - Add these integers to get the decimal sum.

By following these steps, you will be able to efficiently convert and sum hexadecimal numbers in a programming environment.
Transcribed Image Text:### Hexadecimal Number Addition in Decimal This guide details how to write a program that reads two hexadecimal numbers from a file named `hex.txt` and prints out the sum of these two numbers in decimal. #### Step-by-Step Instructions 1. **Initial Setup**: - Write the program first without using a file, reading directly using the `cin>>` command for input. 2. **Understanding Hexadecimal**: - Hexadecimal, also known as **base 16** or simply **hex**, is a positional numeral system with a base of 16. - It uses sixteen distinct symbols: the numbers 0–9 to represent values zero to nine, and the letters A, B, C, D, E, F (or alternatively a–f) to represent values ten to fifteen. - For example, the hexadecimal number `2AF3` is converted to decimal as follows: - \(2 \times 16^3 + 10 \times 16^2 + 15 \times 16^1 + 3 \times 16^0\) - This equates to \(2 \times 4096 + 10 \times 256 + 15 \times 16 + 3 \times 1 = 10,995\). 3. **Example**: - If the file `hex.txt` contains: ``` 45AF 12B3 ``` - The program should output the decimal sum: ``` The decimal sum of 45AF and 12B3 is 22626. ``` - For verification of results, you can use an online hexadecimal calculator, such as [CSG Network Hexadecimal Calculator](http://www.csgnetwork.com/hexaddsubcalc.html). 4. **Solution Approach**: - **Reading Hexadecimal Numbers**: - Read the hexadecimal numbers as character arrays. - **Conversion to Decimal**: - Convert the character arrays to their decimal equivalents by calling a function that takes the character array as a parameter and returns an integer. - **Addition**: - Add these integers to get the decimal sum. By following these steps, you will be able to efficiently convert and sum hexadecimal numbers in a programming environment.
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