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)); }
Mathew;
The code appears straight forward enough. If you don't understand the shift operations and compare operations, I suggest that you look up these operations in a good C manual.
Also, I suggest that you code this in a simple program and step through the code and monitor each operation and var for a full understanding.
Bradford
using '/' and '%' it could be much more efficient.
anyhow as to the OP's question, I totally agree with Al
Erik
"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???
yes, get a 'C' book and study it.
This is about as elementary as it can get
Some suggestions here: blog.antronics.co.uk/.../
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..