C program to convert roman numbers to decimal numbers


Given below is an algorithm to convert roman numbers to decimal numbers in C language −

Algorithm

Step 1 − Start

Step 2 − Read the roman numeral at runtime

Step 3 − length: = strlen(roman)

Step 4 − for i = 0 to length-1 do

      Step 4.1 − switch(roman[i])

          Step 4.1.1 − case ‘m’:

          Step 4.1.2 − case ‘M’:

               Step 4.1.2.1 − d[i]: =1000

          Step 4.1.3 − case ‘d’:

               Step 4.1.4 − case ‘D’:

          Step 4.1.4.1 − d[i]: =500

          Step 4.1.5 − case ‘c’:

               Step 4.1.6 − case ‘C’:

                   Step 4.1.6.1 − d[i]: =100

          Step 4.1.7 − case ‘l’:

          Step 4.1.8 − case ‘L’:

                   Step 4.1.8.1 − d[i]: =50

          Step 4.1.9 − case ‘x’:

          Step 4.1.10 − case ‘X’:

                   Step 4.1.10.1 − d[i]: =10

           Step 4.1.11 − case ‘v’:

          Step 4.1.12 − case ‘V’:

                Step 4.1.12.1 − d[i]: =5

          Step 4.1.13 − case ‘i’:

          Step 4.1.14 − case ‘I’:

                Step 4.1.14.1 − d[i]: =1

          Step 5 − for i =0 to length-1 do

                Step 5.1 − if (i==length-1) or (d[i]>=d[i+1]) then

                      Step 5.1.1 − deci += d[i]

          Step 5.2 − else

              Step 5.2.1 − deci -= d[i]

Step 6 − Print the decimal equivalent of roman numeral

Step 7 − Stop

Program

Following is the C program to convert roman numbers to decimal numbers

#include <stdio.h>
#include <conio.h>
main(){
   char roman[30];
   int deci=0;
   int length,i,d[30];
   printf("The Roman equivalent to decimal
");    printf("Decimal:.........Roman
");    printf("%5d............%3c
",1,'I');    printf("%5d............%3c
",5,'V');    printf("%5d............%3c
",10,'X');    printf("%5d............%3c
",50,'L');    printf("%5d............%3c
",100,'C');    printf("%5d............%3c
",500,'D');    printf("%5d............%3c
",1000,'M');    printf("Enter a Roman numeral:");    scanf("%s",roman);    length=strlen(roman);    for(i=0;i<length;i++){       switch(roman[i]){          case 'm':          case 'M': d[i]=1000; break;          case 'd':          case 'D': d[i]= 500; break;          case 'c':          case 'C': d[i]= 100; break;          case 'l':          case 'L': d[i]= 50; break;          case 'x':          case 'X': d[i]= 10; break;;          case 'v':          case 'V': d[i]= 5; break;          case 'i':          case 'I': d[i]= 1;       }    }    for(i=0;i<length;i++){       if(i==length-1 || d[i]>=d[i+1])          deci += d[i];       else          deci -= d[i];    }    printf("The Decimal equivalent of Roman numeral %s is %d", roman, deci); }

Output

When the above program is executed, it produces the following result −

The Roman equivalent to decimal
Decimal:.........Roman
1............ I
5............ V
10............ X
50............ L
100............ C
500............ D
1000............ M
Enter a Roman numeral: M
The Decimal equivalent of Roman Numeral M is 1000

Updated on: 01-Sep-2021

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