Add documentation
diff --git a/LICENSE b/LICENSE
index 261eeb9..a45ecfb 100644
--- a/LICENSE
+++ b/LICENSE
@@ -1,201 +1,20 @@
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diff --git a/README.md b/README.md
index d2efa54..fe94257 100644
--- a/README.md
+++ b/README.md
@@ -1,10 +1,38 @@
-# Caravel User Project
+# Universal gates
-[![License](https://img.shields.io/badge/License-Apache%202.0-blue.svg)](https://opensource.org/licenses/Apache-2.0) [![UPRJ_CI](https://github.com/efabless/caravel_project_example/actions/workflows/user_project_ci.yml/badge.svg)](https://github.com/efabless/caravel_project_example/actions/workflows/user_project_ci.yml) [![Caravel Build](https://github.com/efabless/caravel_project_example/actions/workflows/caravel_build.yml/badge.svg)](https://github.com/efabless/caravel_project_example/actions/workflows/caravel_build.yml)
+It is quite well known that any logic circuit can be built using only NAND gates.
+For instance, an XNOR gate is equivalent to the following construction:
-| :exclamation: Important Note |
-|-----------------------------------------|
+> ![XNOR gate composed from 5 NAND gates](docs/nand-xnor-s.jpg)
-## Please fill in your project documentation in this README.md file
+Such gates are called universal. Any Boolean function with 2 inputs and 1 output can be built from at most 5 NAND gates.
-Refer to [README](docs/source/index.rst) for this sample project documentation.
+We can also define a gate <i>U</i><sub>21</sub> that is universal in a stricter sense, such that any Boolean
+function with 2 inputs and 1 output is realized with just a single copy of <i>U</i><sub>21</sub>.
+This gate would obviously need more than 2 inputs, but it's usually still more economical than the <i>2k</i> inputs
+and <i>k</i> outputs used from a set of NAND chips (1≤<i>k</i>≤5).
+
+> ![U21(a,b,c,d)=(a&~b)^c^d](docs/u21-s.jpg)
+
+As an example, this is how we get the NAND of <i>p</i> and <i>q</i> and the XNOR of <i>p</i> and <i>q</i>
+by wiring up <i>U</i><sub>21</sub>'s four inputs <i>a</i>, <i>b</i>, <i>c</i> and <i>d</i>
+to a suitable combination of <i>p</i>, <i>q</i>, 0 and 1:
+
+> ![a=p, b=q, c=p, d=1](docs/u21-nand-s.jpg) ![a=1, b=q, c=p, d=q](docs/u21-xnor-s.jpg)
+>
+> ⮟ ⮟ ⮟ ⮟ ⮟ ⮟ ⮟ ⮟ ⮟ ⮟ ⮟
+>
+> ![NAND gate](docs/nand-s.jpg) ![XNOR gate](docs/xnor-s.jpg)
+
+So <i>U</i><sub>21</sub> stands in for any combinatorial logic with 2 inputs and 1 output.
+And any Boolean function with 3 inputs and 1 output can be built with at most 3 copies of <i>U</i><sub>21</sub>.
+But that doesn't stop us from creating a gate <i>U</i><sub>31</sub> that's <i>even</i> more universal
+and does so with a single copy when wired correctly:
+
+> ![U31(a,b,c,d,e,f)=(((a^~b)&c)|(d^e))^((d|~a)&b)^f](docs/u31-s.jpg)
+
+This repository contains a chip design with four independent gates
+<i>U</i><sub>21</sub>, <i>U</i><sub>31</sub>, <i>U</i><sub>41</sub> and <i>U</i><sub>22</sub>
+where each <i>U<sub>ij</sub></i> can be wired to act as an arbitrary function
+with <i>i</i> inputs and <i>j</i> outputs.
+It uses the caravel framework and is hardened for the gf180mcuC technology platform.
diff --git a/docs/nand-s.jpg b/docs/nand-s.jpg
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new file mode 100644
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diff --git a/docs/nand-xnor.jpg b/docs/nand-xnor.jpg
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new file mode 100644
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