Question

In C Sharp

Write a program that uses a recursive method to convert a number in decimal to a given base b, where b is between 2 and 36.  Your program should prompt the user to enter the number in decimal and the desired base.  

Hint: The algorithm to convert a positive decimal number into an equivalent number in octal (or hexadecimal) starts by dividing the decimal number by 8 (for octal) and by 16 (for hexadecimal).  Suppose that a_brepresents a to the base b. Then 75₁₀represents 75 base 10 (decimal) and 75₁₆represents 75 base 16 (hexadecimal).  Check out these equivalents:

753₁₀= 1361₈

753₁₀= 2F1₁₆

You can extend the idea of converting from a decimal to base 2, 8 or 16 to any base. Suppose you wish to convert a decimal number n into an equivalent number in base b, where b is between 2 and 36. You would start by dividing the number n by b.  Note: the digits in say base 20 are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F,G,H,I and J.

You need to write your program and test it using the test cases below.

Please answer In C Sharp

Test Data Inputs:

9098, base 20

692, base 2

753, base 16

Answer 1

Code:

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Conversion
{
class Program
{
static void Main(string[] args)
{
int inputNum , numBase ;
Console.Write("Enter Number To Convert: ");
inputNum = Convert.ToInt32(Console.ReadLine());
Console.Write("Enter Base: ");
numBase = Convert.ToInt32(Console.ReadLine());
Console.WriteLine(inputNum +" In Base " + numBase + " Is " +fromDeci(numBase, inputNum));
Console.ReadKey();
}

// To return char for a value. For
// example '2' is returned for 2.
// 'A' is returned for 10. 'B' for 11
static char reVal(int num)
{
if (num >= 0 && num <= 9)
return (char)(num + 48);
else
return (char)(num - 10 + 65);
}

// Function to convert a given decimal number
// to a base 'base' and
static string fromDeci(int base1, int inputNum)
{
string s = "";

// Convert input number is given
// base by repeatedly dividing it
// by base and taking remainder
while (inputNum > 0)
{
s += reVal(inputNum % base1);
inputNum /= base1;
}
char[] res = s.ToCharArray();

// Reverse the result
Array.Reverse(res);
return new String(res);
}
}
}

Output: