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 shabbir 5Oct2006 21:04

Decimal, Hex, octal and binary number inter conversion

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The article discusses about all the number formats viz Binary, Decimal, Octal, Hex and BCD (Binary coded decimal) and conversion from Decimal to Binary, Octal and Hex and also the reverse conversion.

### Binary

A numbering system based on 2 in which 0 and 1 are the only available digits.

### Decimal

decimal fraction: a proper fraction whose denominator is a power of 10

### Octal

A numbering system that uses eight digits, 0 through 7. It is used as a shorthand system for representing binary characters that use six bits.

### Hexa Decimal

A numbering system which uses a base of 16. The first ten digits are 0-9 and the next six are A-F.

### Binary to Decimal

Code: C

`void Bin2Dec(){    int bin,n,r,s=0,i;    printf("Enter a binary number\n");    scanf("%d",&bin);    n=bin;    for(i=0;n!=0;i++)    {        r=n%10;        s=s+r*(int)pow(2,i);        n=n/10;    }    printf("The equivalent number of %d is %d\n",bin,s);}`

### Octal to Decimal

Code: C

`void Oct2Dec(){    int oct,n,r,s=0,i;    printf("Enter an octal number\n");    scanf("%d",&oct);    n=oct;    for(i=0;n!=0;i++)    {        r=n%10;        s=s+r*(int)pow(8,i);        n=n/10;    }    printf("The equivalent number of %d is %d\n",oct,s);}`

### Hex to Decimal

Code: C

`void Hex2Dec(){    char hex[N];    int i,j,n[N],l;    long double dec=0;    printf("Enter the hexa decimal number and find it's decimal equivalent\n");    fflush(stdin);    gets(hex);    l=strlen(hex);    for(i=0;i<l;i++)    {        switch(hex[i])        {        case '0':            n[i]=hex[i]-48;     //Ascii code of 0 is 48  48-48=0//            break;        case '1':            n[i]=hex[i]-48;  //Ascii code of 1 is 49  49-48=1//            break;        case '2':            n[i]=hex[i]-48;  //Ascii code of 2 is 50  50-48=2//            break;        case '3':            n[i]=hex[i]-48;  //Ascii code of 3 is 51  51-48=3//            break;        case '4':            n[i]=hex[i]-48;  //Ascii code of 4 is 52  52-48=4//            break;        case '5':            n[i]=hex[i]-48;  //Ascii code of 5 is 53  53-48=5//            break;        case '6':            n[i]=hex[i]-48;  //Ascii code of 6 is 54  54-48=6//            break;        case '7':            n[i]=hex[i]-48;  //Ascii code of 7 is 55  55-48=7//            break;        case '8':            n[i]=hex[i]-48;  //Ascii code of 8 is 56  56-48=8//            break;        case '9':            n[i]=hex[i]-48;  //Ascii code of 9 is 57  57-48=9//            break;        case 'A':            n[i]=hex[i]-55;     //Ascii code of A is 65 65-55=10//            break;        case 'B':            n[i]=hex[i]-55;  //Ascii code of B is 65 66-55=11//            break;        case 'C':            n[i]=hex[i]-55;  //Ascii code of C is 65 67-55=12//            break;        case 'D':            n[i]=hex[i]-55;  //Ascii code of D is 65 68-55=13//            break;        case 'E':            n[i]=hex[i]-55;  //Ascii code of E is 65 68-55=14//            break;        case 'F':            n[i]=hex[i]-55;  //Ascii code of F is 65 69-55=15//            break;        }    }    for(i=0,j=l;i<l;i++,j--)        dec=dec+(n[j-1]*pow(16,i));    printf("The decimal equivalent is %lg \n",dec);}`

### Decimal to Binary

Code: C

`void Dec2Bin(){    int n,bin[100],i,j;    printf("Enter A Number To Find It's Binary Equivalence\n");    scanf("%d",&n);    printf("The Binary Equivalent of %d is \t",n);    for(i=0;n!=0;i++)    {        bin[i]=n%2;        n=n/2;    }    for(j=i-1;j>=0;j--)    {        printf("%d",bin[j]);    }    printf("\n");}`

### Decimal to Octal

Code: C

`void Dec2Oct(){    int n,r[10],i;    printf("Enter a number to find it's octal equivalent\n");    scanf("%d",&n);    printf("The octal equivalent of %d is ",n);    for(i=0;n!=0;i++)    {        r[i]=n%8;        n=n/8;    }    i--;    for(;i>=0;i--)        printf("%d",r[i]);    printf("\n");}`

### Decimal to Hex

Code: C

`void Dec2Hex(){    int n,r[10],i;    printf("Enter a number to get its hexadecimal equivalent\n");    scanf("%d",&n);    for(i=0;n!=0;i++)    {        r[i]=n%16;        n=n/16;    }    i--;    for(;i>=0;i--)    {        if(r[i]==10)            printf("A");        else if(r[i]==11)            printf("B");        else if(r[i]==12)            printf("C");        else if(r[i]==13)            printf("D");        else if(r[i]==14)            printf("E");        else if(r[i]==15)            printf("F");        else            printf("%d",r[i]);    }    printf("\n");}`

### Binary Coded Decimal (BCD)

A coding system in which each decimal digit from 0 to 9 is represented by a 4-digit binary number.

 christina 15Nov2006 21:31

Re: Decimal, Hex, octal and binary number inter conversion

hi mr. shabbir. i saw your program conversion of decimal nos to binary which is our assignment, here in go4experts.com

uhm...if you dont mind...will please put comments so i will be able to fully understand the program.thanks!
Code:

```void Dec2Bin() {     int n,bin[100],i,j;     printf("Enter A Number To Find It's Binary Equivalence\n");     scanf("%d",&n);     printf("The Binary Equivalent of %d is \t",n);     for(i=0;n!=0;i++)     {         bin[i]=n%2;         n=n/2;     }     for(j=i-1;j>=0;j--)     {         printf("%d",bin[j]);     }     printf("\n"); }```

 christina 15Nov2006 21:32

Re: Decimal, Hex, octal and binary number inter conversion

if anyone can help me.pls someone put comments in mr. shabbir's program.thank you....

 shabbir 16Nov2006 08:26

Re: Decimal, Hex, octal and binary number inter conversion

Where you want me to place the comment I dont understand

 ayat_Ace 6Jan2007 14:40

Re: Decimal, Hex, octal and binary number inter conversion

how can i write these programs with assemly languge 8088
thank you

 ayat_Ace 6Jan2007 14:46

Re: Decimal, Hex, octal and binary number inter conversion

who can help me

 shabbir 6Jan2007 15:50

Re: Decimal, Hex, octal and binary number inter conversion

Quote:
 Originally Posted by ayat_Ace who can help me
Its just you who can help yourself. Apart from that if you are stuck somewhere we can.

 ayat_Ace 8Jan2007 16:18

Re: Decimal, Hex, octal and binary number inter conversion

thank you mr shabir any way but can help me where i can find the answer so that i can quickl reach it ! :)

 shabbir 8Jan2007 17:03

Re: Decimal, Hex, octal and binary number inter conversion

Quote:
 Originally Posted by ayat_Ace thank you mr shabir any way but can help me where i can find the answer so that i can quickl reach it ! :)

 ayat_Ace 9Jan2007 17:33

Re: Decimal, Hex, octal and binary number inter conversion

hi mr shabbir
the answers i mean that you seems to me a very skillful experts so advise me to be good at assemly programming i mean that you know more than me about very powerful websites help me to improve my self in programming

thanks alot