On Thu, 02 Apr 2015 17:42:55 -0400, rickman
wrote:

On 4/2/2015 4:51 PM, Jasen Betts wrote:
On 2015-04-02, rickman wrote:
On 4/2/2015 6:48 AM, Jasen Betts wrote:
On 2015-04-01, rickman wrote:
On 4/1/2015 6:31 PM, Jim Thompson wrote:

Do a search on the Xilinx web site for app notes on LFSR. Peter Alfke
published one which adds a few gates to specifically inject the zero
state....

yeah, but no LFSR visits all states.

You haven't seen the app note. Why can't it include the zero state with
modification?

I think there's something about linear feedback that requires the
cycle length to be odd.

The key word there is "something".

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As noted earlier by Doctor Phil, there's _nothing_ that requires the
cycle length, maximal or otherwise, to be odd.
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Technically once you make this mod it is not an LFSR anymore.

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True; it reverts to being a Pseudo Random Sequence Generator, of
which an LFSR is a subset.
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But that is what the OP wants, something that is *not* an LFSR
because the LFSR only covers 2^N-1 states and he wants 2^N.

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Where did Jim say he was looking for 2^n?
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A rose by any other name....

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called a turd, by someone trusted, would stink.