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Place Value of a given digit in a number

  • Last Updated : 27 Apr, 2021

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

 

Solution Approach: 
 

  1. 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.
  2. 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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