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

C++Server Side ProgrammingProgramming

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
raja
Published on 23-Sep-2019 12:00:04
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