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Explanation

Hello

Below are the functions to convert a 3 digit decimal to BCD format and to convert from 3 digit BCD to Binary. Can anyone please explain it clearly??


/************************************************************************/
/*      Name : WORDToBCD3 to Converts a 3 digit decimal to BCD format        */
*************************************************************************/

u16 WORDToBCD3(u16 value)
{
u16 bcdhigh = 0;
while (value >= 100)
{
bcdhigh++;
value -= 100;
}
bcdhigh <<= 4;
while (value >= 10)
{
bcdhigh++;
value -= 10;
}
return (bcdhigh << 4) | value;
}
/************************************************************************/
/*      Name : BCD3ToWORD to convert from 3 digit BCD to Binary        */
*************************************************************************/
u16 BCD3ToWORD(u16 value)
{
return (u16)((((value&0xF00)>>8)*100) + (((value&0x0F0)>>4)*10) +
(value&0x0F));
}

Parents Reply Children
  • "using '/' and '%' it could be much more efficient."

    Not always. It depends on processor support for integer division - still lacking in some new processors.

  • Ok.. i did a small study on th eoperators and here is what i understood. I also tried to do an example s.. see bottom... But i am getting wrong result. Can anyone help??

    u16 WORDToBCD3(u16 value)
    {
    u16 bcdhigh = 0;// initializing bcdhigh as zero
    while (value >= 100) //Checking if it is a 3 digit number
    {
    bcdhigh++;//If it is a 3 digit number , then value of bcdhigh is incremented i.e now it is = 1
    value -= 100; // The variable value has now new content which is value - 100
    }
    bcdhigh <<= 4; // means Bitwise left shift assignment. It shift bcdhigh left by 4 bits
    
    while (value >= 10) // Checking if it is a 2 digit number
    {
    bcdhigh++;//value of bcdhigh is incremented
    value -= 10;// means value = value - 10
    }
    return (bcdhigh << 4) | value; // it returns the value  of (Bitwise left shift i.e all bits in bcdhigh
    
    shifted left by 4 bits) OR each bit in value
    }
    
    

    Example lets take value = 102
    then while (102 >= 100)
    bcdhigh= 1 ( in binary 1)
    value = 102 -100 i.e 2 ( in binary 0010)
    bcdhigh <<= 4; means 10000

    returning value = 10000 OR 0010 which gives a binary value of 0b10011100011000 ( decimal equivalent = 10008) ????

    Am i wrong somewhere???

  • Am i wrong somewhere???

    yes, get a 'C' book and study it.

    This is about as elementary as it can get

    Erik

  • so you have the value 102.
    While it is >= 100, the code should increment (add 1) to the BCD number, and strip 100 from the number.

    So 102 -> 2.
    And BCD number 0->1 (binary 1)

    Then it's time to try the "ten" digit.
    <<= 4 means shift left four steps.
    So the BCD number 1 * 16 = 16 (binary 10000).

    Next repeat while the number is >= 10.
    2 < 10, so nothing to do.

    Then it's time to processed the "one" digit.
    <<= 4 once again means shift left four steps.
    So the BCD number 16 * 16 (binary 10000 << 4) = 256 (binary 100000000).

    Now the code could have iterated while the reminder of the number was larger than zero. But no need to.

    The reminder is 2 - binary 10.

    So combine the already accumulated BCD number (256 dec or 100000000 bin) with the value 2 dec or 10 bin.

    256 bit-or 2 is same as 100000000 bin bit-or 10 which is 100000010 which is 258.

    258 decimal (or 100000010 binary) is the same as 102 hexa-decimal. So now we have the same digits but in a hexadecimal number, as we originally had in a decimal number. That's exactly what we would have expected when converting the number into BCD format, i.e. binary coded decimal - one decimal digit stored per nibble (half-byte).

  • >binary coded decimal - one decimal digit stored per nibble (half-byte).

    Should be referenced as
    BCD numbers normally occupy one byte per decimal digit.
    packed BCD numbers use half byte or nibble for a decimal digit and in a byte are stored two decimal digits.

    en.wikipedia.org/.../Binary-coded_decimal
    academic.evergreen.edu/.../bcd.htm

    This process of representation of a value to the binary system is called encoding.
    So, the actual value of a byte(8bits) or a word(16bits) varies along with the encoding used to store the information.

  • Thank you all.. especially Westermark reply helped me a lot to undertand it very clearly..