I know the traditional way to convert binary fractions (fixed) to decimal notation. The traditional way is below:

-------------------------------------------------------------------------------

[-A-] Traditional technique for converting decimal number 0.42

-------------------------------------------------------------------------------

step 1: 0.47 * 2 = 0.94 ; store integral part: 0

step 2: 0.94 * 2 = 1.88 ; store integral part: 1

step 3: 0.88 * 2 = 1.76 ; store integral part: 1

step 4: 0.76 * 2 = 1.52 ; store integral part: 1

step 5: 0.52 * 2 = 1.04 ; store integral part: 1

[-B-]final answer: 0.01111......

Question: Can I get the final answer [-B-] using shift operation ? I am looking for something similar to Double Dabble. I don't want to use [-A-] because I'm trying to avoid the Multiplication core in an FPGA. Multiplication core just takes extra clock cycles for each multiplication operation and I'd like to avoid that.

[-C-] Summary:

1. Decimal/BCD (whole) --- > Binary : use Reverse Double Dabble.

2. Decimal/BCD (fraction) --- > Binary : ????? (I don't want to use [-A-])

3. Binary(whole) --- > Decimal/BCD : use Double Dabble

4. Binary(fraction) --- > Decimal/BCD : use Reverse Double Dabble.

For [-C-].2, I'm trying to find/come up with a technique similar to [-C-].1, [-C-].3, and [-C-].4. Any suggestions?

## Decimal to binary

**Moderators:** gmalivuk, Moderators General, Prelates

### Re: Decimal to binary

What's the format of your BCD input? Is it fixed point or floating point? Likewise, what is the format of your binary output?

### Who is online

Users browsing this forum: gmalivuk and 5 guests