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,
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,
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
Section: Chapter Questions
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using arm 32 assembly cortex m4.

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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