Hexadecimal number system: It is base 16 number system which uses the digits from 0 to 9 and A, B, C, D, E, F.
Decimal number system:
It is base 10 number system which uses the digits from 0 to 9
Decimal to hexadecimal conversion method:
Following steps describe how to convert decimal to hexadecimal
Step 1: Divide the original decimal number by 16
Step 2: Divide the quotient by 16
Step 3: Repeat the step 2 until we get quotient equal to zero.
Equivalent binary number would be remainders of each step in the reverse order.
Decimal to hexadecimal conversion example:
For example we want to convert decimal number 900 in the hexadecimal.
Step 1: 900 / 16 Remainder : 4 , Quotient : 56
Step 2: 56 / 16 Remainder : 8 , Quotient : 3
Step 3: 3 / 16 Remainder : 3 , Quotient : 0
So equivalent hexadecimal number is: 384
That is (900)10 = (384)16
C Program
#include<stdio.h> int main() { long int decimalNumber,remainder,quotient; int i=1,j,temp; char hexadecimalNumber[100]; printf("Enter any decimal number: "); scanf("%ld",&decimalNumber); quotient = decimalNumber; while(quotient!=0) { temp = quotient % 16; //To convert integer into character if( temp < 10) temp =temp + 48; else temp = temp + 55; hexadecimalNumber[i++]= temp; quotient = quotient / 16; } printf("Equivalent hexadecimal value of decimal number %d: ",decimalNumber); for (j = i -1 ;j> 0;j--) printf("%c",hexadecimalNumber[j]); return 0; }
Output
Enter any decimal number: 45 Equivalent hexadecimal value of decimal number 45: 2D
C Program
#include<stdio.h> int main() { long int decimalNumber; printf("Enter any decimal number: "); scanf("%d",&decimalNumber); printf("Equivalent hexadecimal number is: %X",decimalNumber); return 0; }
Output
Enter any decimal number: 45 Equivalent hexadecimal number is: 2D