1. Write a program that calculates the result of z = xy a. The x and y variables should exist in memory after loading your program (use .FILL) b. Assume (6 >= x >= 0) and (6 >= y >= 0) C. Store the result of your exponential operation into the memory address x8000 and HALT your program

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please meet the requirements regarding the LC3 simulator

### Writing a Program to Calculate z = x^y

To calculate the result of the equation \( z = x^y \), follow these steps. This guide assumes you have a basic understanding of programming and memory operations.

1. **Write a Program:**
   - Your task is to create a program that computes the result of \( z = x^y \).
  
2. **Variable Initialization:**
   - The variables `x` and `y` should be initialized in memory once the program is loaded. You can use the `.FILL` directive to achieve this.

3. **Constraints:**
   - The values of `x` and `y` must lie within the range defined by the inequality \( 6 \geq x \geq 0 \) and \( 6 \geq y \geq 0 \).

4. **Store the Result:**
   - After calculating the exponential operation, store the result in the memory address `x8000`.
   - Make sure to HALT your program to signify the end of execution.

### Detailed Explanation:

#### Step-by-Step Implementation

**1. Initialization:**
   - Define `x` and `y` in memory using the `.FILL` directive.
   ```assembly
   .FILL x_value
   .FILL y_value
   ```

**2. Ensure Constraints:**
   - Check that both `x` and `y` lie between 0 and 6.

**3. Exponential Calculation:**
   - Implement the logic to compute \( z = x^y \).

**4. Storing the Result:**
   - Store the computed result in the address `x8000`.
  
**5. Halt the Program:**
   - Ensure the program stops executing after storing the result.

For example, in pseudocode:

```pseudocode
Start:
   LOAD x_value INTO register X
   LOAD y_value INTO register Y

   IF (X < 0 OR X > 6 OR Y < 0 OR Y > 6) THEN
      PRINT "Invalid input"
      HALT

   z = 1
   FOR i = 1 to Y DO
      z = z * X
   
   STORE z INTO memory address x8000
   HALT
End.
```

This pseudocode snippet provides an outline of how you might structure your program. Ensure to substitute the pseudocode with the actual assembly
Transcribed Image Text:### Writing a Program to Calculate z = x^y To calculate the result of the equation \( z = x^y \), follow these steps. This guide assumes you have a basic understanding of programming and memory operations. 1. **Write a Program:** - Your task is to create a program that computes the result of \( z = x^y \). 2. **Variable Initialization:** - The variables `x` and `y` should be initialized in memory once the program is loaded. You can use the `.FILL` directive to achieve this. 3. **Constraints:** - The values of `x` and `y` must lie within the range defined by the inequality \( 6 \geq x \geq 0 \) and \( 6 \geq y \geq 0 \). 4. **Store the Result:** - After calculating the exponential operation, store the result in the memory address `x8000`. - Make sure to HALT your program to signify the end of execution. ### Detailed Explanation: #### Step-by-Step Implementation **1. Initialization:** - Define `x` and `y` in memory using the `.FILL` directive. ```assembly .FILL x_value .FILL y_value ``` **2. Ensure Constraints:** - Check that both `x` and `y` lie between 0 and 6. **3. Exponential Calculation:** - Implement the logic to compute \( z = x^y \). **4. Storing the Result:** - Store the computed result in the address `x8000`. **5. Halt the Program:** - Ensure the program stops executing after storing the result. For example, in pseudocode: ```pseudocode Start: LOAD x_value INTO register X LOAD y_value INTO register Y IF (X < 0 OR X > 6 OR Y < 0 OR Y > 6) THEN PRINT "Invalid input" HALT z = 1 FOR i = 1 to Y DO z = z * X STORE z INTO memory address x8000 HALT End. ``` This pseudocode snippet provides an outline of how you might structure your program. Ensure to substitute the pseudocode with the actual assembly
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