Miscellany

//Tyler Arthur// Program 8 Assignment 4// CS 201#include <iostream>#include <cmath>using namespace std;bool isDigit(char c);int digit2int(char c);bool isValid(int d2, int d1, int d0, int base);int base10(int d2, int d1, int d0, int base);int main(){   int base;   char a;   char b;   char c;   int d2;   int d1;   int d0;   cout << "Enter the first digit: " << endl;   cin >> a;   cout << "Enter the second digit: " << endl;   cin >> b;   cout << "Enter the third digit: " << endl;   cin >> c;   cout << "Enter the base: ";   cin >> base;if (isDigit(a)){  cout << a << " " << "is a valid digit" << endl; if (isDigit(b)) {   cout << b << " " << "is a valid digit" << endl;     if (isDigit(c))     {      cout << c << " " << "is a valid digit" << endl;       if(base <= 10 && base >=2)       {        cout << base << "is a valid base" << endl;        d2 = digit2int(a);        d1 = digit2int(b);        d0 = digit2int(c);          if(isValid(d2, d1, d0, base))          {           cout << d2 << d1 << d0 << " " << "in base" << base <<           "is equal to" << " " << base10(d2, d1, d0, base) << " " <<           "in base 10." << endl;          }          }          else          {           cout << base << " " << "is not a valid base" << endl;          }       }       else       {       cout << d2 << d1 << d0 << " " << "in the given base is not valid"       <<endl;       }       }     else     {     cout << c << "is not a valid digit" << endl;     }     }   else   {   cout << b << " " << "is not a valid base" << endl;   }   } else { cout << a << " " << "is not a valid digit" <<endl;}return 0;}bool isDigit(char c) { if (c >= '0' && c <= '9') { return true; } else { return false; } }int digit2int(char c){ return (c - '0');}bool isValid(int d2, int d1, int d0, int base){ if(base < d2 || base < d1 || base < d0) {  return false; } else { return true; }}int base10(int d2, int d1, int d0, int base){return (d2 * base * base + d1 * base + d0);}