Program to check if a matrix is Binary matrix or not in C++

A binary matrix is a matrix whose all elements are binary values i.e., 0 or 1. Binary matrix can be also called Boolean matrix, Relational Matrix, Logical matrix.

Given below the example           

$$\begin{bmatrix} 0 & 1 & 0
\ 1 & 1 & 0
\ 1 & 0 & 1
\ \end {bmatrix}\:\:\:\:\:\:\:\:\:
\begin{bmatrix}
0 & 3 & 0
\ 1 & 1 & 0
\ 1 & 0 & 2
\ \end{bmatrix}\\tiny This\:is\:a\:Binary\:Matrix\:\:\:\:\:\:\:
This\:is\:not\:a\:binary\:matrix$$

In Above figure first matrix on the left is a Binary matrix, the other matrix there are some values which are not Binary(0 or 1) are highlighted in red i.e., 3 and 2 hence that is not a binary matrix.

Example

Input: m[4][3] = { { 0, 0, 0, 0 },    { 1, 1, 1, 1 },    { 1, 1, 0, 0 } } Output: its a binary matrix

Approach

We can traverse the whole matrix and check all the elements if 0 or 1 then print it is a binary matrix, else print it is not binary matrix.

Algorithm

Start Step 1 -> define macros as #define row 3 and #define col 4 Step 2 -> Declare function to check if a matrix is binary matrix or not    bool check(int arr[][col])       Loop For int i = 0 and i < row and i++          Loop For int j = 0 and j < col and j++             IF(!(arr[i][j] = 0 || arr[i][j] = 1))                return false             End          End    End    return true step 3 -> In main()    Declare an array as int arr[row][col] = { { 0, 0, 0, 0 },       { 1, 1, 1, 1 },       { 1, 1, 0, 0 } }    If (check(arr))       Print its a binary matrix    Else       Print its not a binary matrix Stop

Example

#include <bits/stdc++.h> using namespace std; #define row 3 #define col 4 //check if a matrix is binary matrix or not bool check(int arr[][col]){    for (int i = 0; i < row; i++){       for (int j = 0; j < col; j++){          if (!(arr[i][j] == 0 || arr[i][j] == 1))             return false;       }    }    return true; } int main(){    int arr[row][col] = { { 0, 0, 0, 0 },       { 1, 1, 1, 1 },       { 1, 1, 0, 0 } };    if (check(arr))       cout << "its a binary matrix";    else       cout << "its not a binary matrix";    return 0; }

Output

its a binary matrix