3 of 4 added 155 characters in body

Hmmm. It can't be done with boolean algebra that's for sure, but I could wire one up physically. The trick is wiring one of the inputs to a power lead of another.

        I1           I2
|            |
/-+-\          |
|   |          |
\|   |/         |
|\   / |        |
.|---| \ /  |---|>   |
\  V  /         |
\   /          |
\ /           |
V            |
|            |
/-+-\          |
|   |          |
\|   |/         |
|\   / |        |
.|---| \ /  |--------/
\  V  /
\   /
\ /
V
|
|
AND OUTPUT


Both XOR gates are wired up as NOT gates. The trick involved is that if you wire VCC to GND (or by extension a logic ground), the output is a weak GND.

Disclaimer: this works on the silicon I have, but might not work on all silicon.