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29th May 2007, 13:02 #1
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fixed point multiply
Hi, pals,
I'm a green hand in VHDL and doing a very simple FFT. The first problem I encouter is how to program a 16 bits fixed point multiplier with 8 bits fraction. I don't want to use any multiplier module even they can save a huge number of logic gates. I just want to use "*" to do the multiplication.
But since the data type is fix point with fraction, I suppose the result have to be shifted after calculation by "*". But I am not sure about that and don't know how start this program.
Can anybody show me an example about this matter?
Thanks a lot.

29th May 2007, 13:02

29th May 2007, 15:33 #2
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vhdl multiply
First, if you are intending to use a fractional fixed notation like xxx.xxx, then you can perform multiplication by shifting each operand to the left by 8 and consider them as integers .Then, you can perform integer multiplication which can be performed by "*" .After finishing the multiplication, you must shift the result by 16 because you shifted each operand by 8 .If you only need 8 bits after the point, you can simply discard the rest of bits .
You can also use the IEEE floating point notation i.e you can represent the number as a sign ,exponent and magnitude .You simply multiply the magnitudes together and add the exponents .Note that this formats considers the number as 1.xxxeyyy i.e after magnitude multiplication, you may need to perform shifting till you achieve only 1 before the point ,and add the number of shifts to the exponent .
If your numbers' range is small I'd recommend the fixed point notation, but if you're expecting your system to handle large values of numbers, then you should consider the floating point notation .
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30th May 2007, 09:23 #3
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vhdl x001
Thanks a lot. That's a really smart way to shift and treat it like integer.

30th May 2007, 09:23

3rd May 2009, 16:27 #4
vhdl fixed point multiplication
I have tried this, but it's not working with me,
i have inputs X, Y bit_vector( 9 downto 0), i'm having 7 decimal places
mulRes <= bit_vector((signed(X) * signed(Y)));  mulRes bit_vector(19 downto 0)
res <= mulRes(16 downto 7);
X = 001 1010000 "1.5"
Y = 010 0000000 "2.0"
mulRes = 00001101000000000000
res = 0110100000 which is not 3 :(
Have i understood something in a wrong way ??
Thanks in advance :) ...

3rd May 2009, 17:07 #5
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how to multiply integers in vhdl
Yes, you apparently misunderstood the concept of fractional numbers.
This is the correct fractional representation for sfixed(2 downto 7) format
Code:X = 001 1000000 "1.5"
Code:X = 001 1010000 "1.625"

3rd May 2009, 19:07 #6
vhdl multiply by fraction
YESSSSSSS, that's great,
sorry i thought in a wrong way,
It's working perfectlyyy,
Thank you so much :)

3rd May 2009, 19:07

29th March 2010, 12:41 #7
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HELP...fixedpoint multiply using VHDL
Read tutoRial seRies on fixed point vhdl package heRe..
http://vhdlguru.blogspot.com/2010/03...tutorial.html
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