# Place Value of a given digit in a number

**Place value** can be defined as the value represented by a digit in a number on the basis of its position in the number. Here is the illustration of place value with an example:

Let’s take another example to illustrate the place value for **N = 45876**

**Problem:**

Given a positive integer **N** and a digit **D**. The task is to find out the place value of a digit **D** in the given number** N**. If multiple occurrences of digit occur then find the minimum place value.**Example:**

Input:N = 3928, D = 3Output:3000Explaination:

Place value of 3 in this number is 3*1000 = 3000Input:N = 67849, D = 6Output:60000

**Solution Approach:**

- Find the position of the digit from the right side of the input number. In order to find the position take the mod of that number by 10 and check for the number and divide the number by 10.
- When the position of the digit is found then just multiply the digit with the 10
^{ }.^{position}

Here is the implementation of the above approach:

## C++

`// C++ implementation to find` `// place value of a number` `#include<bits/stdc++.h>` `using` `namespace` `std;` `// Function to find place value` `int` `placeValue(` `int` `N, ` `int` `num)` `{` ` ` `int` `total = 1, value = 0, rem = 0;` ` ` `while` `(` `true` `)` ` ` `{` ` ` `rem = N % 10;` ` ` `N = N / 10;` ` ` `if` `(rem == num)` ` ` `{` ` ` `value = total * rem;` ` ` `break` `;` ` ` `}` ` ` `total = total * 10;` ` ` `}` ` ` `return` `value;` `}` `// Driver Code` `int` `main()` `{` ` ` `// Digit, which we want` ` ` `// to find place value.` ` ` `int` `D = 5;` ` ` `// Number from where we` ` ` `// want to find place value.` ` ` `int` `N = 85932;` ` ` `cout << (placeValue(N, D));` `}` `// This code is contributed by Ritik Bansal` |

## Java

`// Java implementation to find` `// place value of a number` `import` `java.util.*;` `import` `java.io.*;` `import` `java.lang.*;` `class` `GFG {` ` ` `// function to find place value` ` ` `static` `int` `placeValue(` `int` `N, ` `int` `num)` ` ` `{` ` ` `int` `total = ` `1` `, value = ` `0` `, rem = ` `0` `;` ` ` `while` `(` `true` `) {` ` ` `rem = N % ` `10` `;` ` ` `N = N / ` `10` `;` ` ` `if` `(rem == num) {` ` ` `value = total * rem;` ` ` `break` `;` ` ` `}` ` ` `total = total * ` `10` `;` ` ` `}` ` ` `return` `value;` ` ` `}` ` ` `// Driver Code` ` ` `public` `static` `void` `main(String[] args)` ` ` `{` ` ` `// Digit, which we want` ` ` `// to find place value.` ` ` `int` `D = ` `5` `;` ` ` `// Number from where we` ` ` `// want to find place value.` ` ` `int` `N = ` `85932` `;` ` ` `System.out.println(placeValue(N, D));` ` ` `}` `}` |

## Python3

`# Python3 implementation to find` `# place value of a number` `# Function to find place value` `def` `placeValue(N, num):` ` ` ` ` `total ` `=` `1` ` ` `value ` `=` `0` ` ` `rem ` `=` `0` ` ` ` ` `while` `(` `True` `):` ` ` `rem ` `=` `N ` `%` `10` ` ` `N ` `=` `N ` `/` `/` `10` ` ` `if` `(rem ` `=` `=` `num):` ` ` `value ` `=` `total ` `*` `rem` ` ` `break` ` ` `total ` `=` `total ` `*` `10` ` ` ` ` `return` `value` `# Driver Code` `# Digit, which we want` `# to find place value.` `D ` `=` `5` `# Number from where we` `# want to find place value.` `N ` `=` `85932` `print` `(placeValue(N, D))` `# This code is contributed by divyamohan123` |

## C#

`// C# implementation to find` `// place value of a number` `using` `System;` `class` `GFG{` `// function to find place value` `static` `int` `placeValue(` `int` `N, ` `int` `num)` `{` ` ` `int` `total = 1, value = 0, rem = 0;` ` ` `while` `(` `true` `)` ` ` `{` ` ` `rem = N % 10;` ` ` `N = N / 10;` ` ` `if` `(rem == num)` ` ` `{` ` ` `value = total * rem;` ` ` `break` `;` ` ` `}` ` ` `total = total * 10;` ` ` `}` ` ` `return` `value;` `}` `// Driver Code` `public` `static` `void` `Main()` `{` ` ` `// Digit, which we want` ` ` `// to find place value.` ` ` `int` `D = 5;` ` ` `// Number from where we` ` ` `// want to find place value.` ` ` `int` `N = 85932;` ` ` `Console.Write(placeValue(N, D));` `}` `}` `// This code is contributed by Code_Mech` |

## Javascript

`<script>` ` ` `// JavaScript implementation to find` ` ` `// place value of a number` ` ` `// Function to find place value` ` ` `function` `placeValue(N, num) {` ` ` `var` `total = 1,` ` ` `value = 0,` ` ` `rem = 0;` ` ` `while` `(` `true` `) {` ` ` `rem = N % 10;` ` ` `N = parseInt(N / 10);` ` ` `if` `(rem == num) {` ` ` `value = total * rem;` ` ` `break` `;` ` ` `}` ` ` `total = total * 10;` ` ` `}` ` ` `return` `value;` ` ` `}` ` ` `// Driver Code` ` ` `// Digit, which we want` ` ` `// to find place value.` ` ` `var` `D = 5;` ` ` `// Number from where we` ` ` `// want to find place value.` ` ` `var` `N = 85932;` ` ` `document.write(placeValue(N, D));` ` ` `</script>` |

**Output:**

5000

**Time Complexity: **O(log N)**Auxiliary space: **O(1)

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