Program to check if a matrix is Binary matrix or not

Given a matrix, the task is to check if that matrix is a Binary Matrix. A Binary Matrix is a matrix in which all the elements are either 0 or 1. It is also called Logical Matrix, Boolean Matrix, Relation Matrix.

Examples:

Input: 
{{1, 0, 1, 1},
{0, 1, 0, 1}
{1, 1, 1, 0}}
Output: Yes

Input:
{{1, 0, 1, 1},
{1, 2, 0, 1},
{0, 0, 1, 1}}
Output: No

Approach: Traverse the matrix and check if every element is either 0 or 1. If there is any element other than 0 and 1, print No else print Yes.

Below is the implementation of above approach:

C++

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// C++ code to check if a matrix
// is binary matrix or not.
#include <bits/stdc++.h>
using namespace std;
  
#define M 3
#define N 4
  
// function to check if a matrix
// is binary matrix or not
bool isBinaryMatrix(int mat[][N])
{
    for (int i = 0; i < M; i++) {
        for (int j = 0; j < N; j++) {
            // Returns false if element is other than 0 or 1.
            if (!(mat[i][j] == 0 || mat[i][j] == 1))
                return false;
        }
    }
  
    // Returns true if all the elements
    // are either 0 or 1.
    return true;
}
  
// Driver code
int main()
{
    int mat[M][N] = { { 1, 0, 1, 1 },
                      { 0, 1, 0, 1 },
                      { 1, 1, 1, 0 } };
  
    if (isBinaryMatrix(mat))
        cout << "Yes";
    else
        cout << "No";
  
    return 0;
}

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Java

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// JAVA code to check if a matrix
// is binary matrix or not.
  
import java.io.*;
class GFG {
    static int M = 3;
    static int N = 4;
  
    // function to check if a matrix is binary matrix
    // or not
    static boolean isBinaryMatrix(int mat[][])
    {
        for (int i = 0; i < M; i++) {
            for (int j = 0; j < N; j++) {
                // Returns false if element is other than 0 or 1.
                if (!(mat[i][j] == 0 || mat[i][j] == 1))
                    return false;
            }
        }
  
        // Returns true if all the elements
        // are either 0 or 1.
        return true;
    }
  
    // Driver code
    public static void main(String args[])
    {
        int mat[][] = { { 1, 0, 1, 1 },
                        { 0, 1, 0, 1 },
                        { 1, 1, 1, 0 } };
  
        if (isBinaryMatrix(mat))
            System.out.println("Yes");
        else
            System.out.println("No");
    }
}

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Python3

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# Python3 code to check if a matrix
# is binary matrix or not.
  
M = 3;
N = 4;
  
# function to check if a matrix
# is binary matrix or not
def isBinaryMatrix(mat):
    for i in range(M):
        for j in range(N):
            # Returns false if element
            # is other than 0 or 1.
            if ((mat[i][j] == 0 or mat[i][j] == 1)==False):
                return False;
  
    # Returns true if all the 
    # elements are either 0 or 1.
    return True;
  
# Driver code
if __name__=='__main__':
    mat = [[ 1, 0, 1, 1 ],[0, 1, 0, 1 ],[ 1, 1, 1, 0 ]];
  
    if (isBinaryMatrix(mat)):
        print("Yes");
    else:
        print("No");
  
# This code is contributed by mits

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C#

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// C# code to check if a matrix 
// is binary matrix or not. 
  
using System;
class GFG { 
    static int M = 3; 
    static int N = 4; 
  
    // function to check if a matrix is binary matrix 
    // or not 
    static bool isBinaryMatrix(int [,]mat) 
    
        for (int i = 0; i < M; i++) { 
            for (int j = 0; j < N; j++) { 
                // Returns false if element is other than 0 or 1. 
                if (!(mat[i,j] == 0 || mat[i,j] == 1)) 
                    return false
            
        
  
        // Returns true if all the elements 
        // are either 0 or 1. 
        return true
    
  
    // Driver code 
    public static void Main() 
    
        int [,]mat = { { 1, 0, 1, 1 }, 
                        { 0, 1, 0, 1 }, 
                        { 1, 1, 1, 0 } }; 
  
        if (isBinaryMatrix(mat)) 
            Console.WriteLine("Yes"); 
        else
            Console.WriteLine("No"); 
    
// This code is contributed by anuj_67.

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PHP

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<?php
// PHP code to check if a matrix
// is binary matrix or not.
  
$M = 3;
$N = 4;
  
// function to check if a matrix
// is binary matrix or not
function isBinaryMatrix($mat)
{
    global $M, $N;
    for ($i = 0; $i < $M; $i++) 
    {
        for ($j = 0; $j < $N; $j++) 
        {
            // Returns false if element
            // is other than 0 or 1.
            if (!($mat[$i][$j] == 0 || 
                  $mat[$i][$j] == 1))
                return false;
        }
    }
  
    // Returns true if all the 
    // elements are either 0 or 1.
    return true;
}
  
// Driver code
$mat = array(array( 1, 0, 1, 1 ),
             array( 0, 1, 0, 1 ),
             array( 1, 1, 1, 0 ));
  
if (isBinaryMatrix($mat))
    echo "Yes";
else
    echo "No";
  
// This code is contributed by mits
?>

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Output:

Yes

Time complexity: O( M X N)
Space Complexity: O(1)



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