Find the Nth digit from right in base B of the given number in Decimal base

Difficulty Level : Hard
Last Updated : 25 Mar, 2021

Given a number A in decimal base, the task is to find the N^th digit from last in base B
Examples:

Input: A = 100, N = 3, B = 4
Output: 2
Explanation:
(100)₄ = 1210
3^rd digit from last is 2
Input: A = 50, N = 3, B = 5
Output: 2
Explanation:
(50)₅ = 200
3^rd digit from last is 2

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Approach: The idea is to skip (N-1) digits of the given number in base B by dividing the number with B, (N – 1) times and then return the modulo of the current number by the B to get the N^th digit from the right.
Below is the implementation of the above approach:

C++

// C++ Implementation to find Nth digit
// from right in base B
 
#include <iostream>
using namespace std;
 
// Function to compute Nth digit
// from right in base B
int nthDigit(int a, int n, int b)
{
 
    // Skip N-1 Digits in Base B
    for (int i = 1; i < n; i++)
        a = a / b;
 
    // Nth Digit from right in Base B
    return a % b;
}
 
// Driver Code
int main()
{
    int a = 100;
    int n = 3;
    int b = 4;
    cout << nthDigit(a, n, b);
    return 0;
}

Java

// Java Implementation to find Nth digit
// from right in base B
import java.util.*;
 
class GFG
{
 
// Function to compute Nth digit
// from right in base B
static int nthDigit(int a, int n, int b)
{
 
    // Skip N-1 Digits in Base B
    for (int i = 1; i < n; i++)
        a = a / b;
 
    // Nth Digit from right in Base B
    return a % b;
}
 
// Driver Code
public static void main(String[] args)
{
    int a = 100;
    int n = 3;
    int b = 4;
    System.out.print(nthDigit(a, n, b));
}
}
 
// This code is contributed by PrinciRaj1992

Python3

# Ptyhon3 Implementation to find Nth digit
# from right in base B
 
# Function to compute Nth digit
# from right in base B
def nthDigit(a, n, b):
 
    # Skip N-1 Digits in Base B
    for i in range(1, n):
        a = a // b
 
    # Nth Digit from right in Base B
    return a % b
 
# Driver Code
a = 100
n = 3
b = 4
print(nthDigit(a, n, b))
 
# This code is contributed by ApurvaRaj

C#

// C# Implementation to find Nth digit
// from right in base B
using System;
 
class GFG
{
 
    // Function to compute Nth digit
    // from right in base B
    static int nthDigit(int a, int n, int b)
    {
     
        // Skip N-1 Digits in Base B
        for (int i = 1; i < n; i++)
            a = a / b;
     
        // Nth Digit from right in Base B
        return a % b;
    }
     
    // Driver Code
    public static void Main()
    {
        int a = 100;
        int n = 3;
        int b = 4;
        Console.Write(nthDigit(a, n, b));
    }
}
 
// This code is contributed by AnkitRai01

Javascript

<script>
 
// Javascript Implementation to find Nth digit
// from right in base B
 
// Function to compute Nth digit
// from right in base B
function nthDigit(a, n, b)
{
 
    // Skip N-1 Digits in Base B
    for (var i = 1; i < n; i++)
        a = parseInt(a / b);
 
    // Nth Digit from right in Base B
    return a % b;
}
 
// Driver Code
var a = 100;
var n = 3;
var b = 4;
document.write(nthDigit(a, n, b));
 
// This code is contributed by rutvik_56.
</script>

Output:

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Find the Nth digit from right in base B of the given number in Decimal base

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C#

Javascript