Write an ARM assembly program in Keil to check whether an Nx N matrix is a magic square. A magic square is an Nx N matrix in which the sums of all rows, column, and the two diagonals add up to N (N2 + 1)/2. All matrix entries are unique numbers from 1 to N². Register r1 will hold N. The matrix starts at location 0x20000010 (Base address) and ends at location (Base address +3 -N²). Note: Here it is assumed as all numbers are bytes, you need to consider the 4-byte size of integers,

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using arm 32 assembly cortex m4.

**ARM Assembly Program for Magic Square Verification**

This educational resource provides guidance on writing an ARM assembly program using Keil to verify whether an N × N matrix is a magic square.

**Definition of a Magic Square:**
A magic square is an N × N matrix where the sums of all rows, columns, and both diagonals equal N(N² + 1)/2. All entries are unique and range from 1 to N².

- **Register Details:** 
  - Register r1 holds the value of N.
  - The matrix is stored in memory starting at address 0x20000010 (Base address) and ends at (Base address + N²). 
  - Each number is stored as a byte, so consider the 4-byte size for integers.

**Example:**

Below is an example of a magic square:

```
16  3  2 13
 5 10 11  8
 9  6  7 12
 4 15 14  1
```

The numbers are stored consecutively in memory:
- 16, 3, 2, 13 occupy the first four addresses.
- 5, 10, 11, 8 occupy the next four addresses, and so on.

**Program Output:**
- If the matrix is a magic square, register r8 will be set (value of 1).
- If not, it will be cleared to 0.

This information helps understand the structure and logic necessary for evaluating magic squares using ARM assembly language.
Transcribed Image Text:**ARM Assembly Program for Magic Square Verification** This educational resource provides guidance on writing an ARM assembly program using Keil to verify whether an N × N matrix is a magic square. **Definition of a Magic Square:** A magic square is an N × N matrix where the sums of all rows, columns, and both diagonals equal N(N² + 1)/2. All entries are unique and range from 1 to N². - **Register Details:** - Register r1 holds the value of N. - The matrix is stored in memory starting at address 0x20000010 (Base address) and ends at (Base address + N²). - Each number is stored as a byte, so consider the 4-byte size for integers. **Example:** Below is an example of a magic square: ``` 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1 ``` The numbers are stored consecutively in memory: - 16, 3, 2, 13 occupy the first four addresses. - 5, 10, 11, 8 occupy the next four addresses, and so on. **Program Output:** - If the matrix is a magic square, register r8 will be set (value of 1). - If not, it will be cleared to 0. This information helps understand the structure and logic necessary for evaluating magic squares using ARM assembly language.
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