One LUT, up close
You will learn
What a 6-input lookup table is, and how 64 bits describe any gate.
A LUT6 is a tiny memory with 6 address inputs and 64 one-bit entries. Any logic function of 6 inputs is just its truth table written into those 64 bits, the INIT value. Paste an INIT and the widget reads it back as a truth table and an expression. Then play the guessing game on LUTs taken from a real routed design: XOR, AND, a multiplexer, or something with no short name.
Try it
Try the XOR6 and majority examples, then play five rounds of Guess the gate.

All lessons
Module 1 · The chip
What an FPGA is, which chip we use, and how its pins meet the board.
Module 2 · Numbers in hardware
Bits, trits and number formats, and what arithmetic costs in logic.
Module 3 · Your t27 program
Write a spec, test it, and see why compiling is not the same as being right.
Module 4 · Inside t27c
How the compiler reads a spec and what it writes, including the native t27b.
Module 5 · From spec to hardware
The Verilog t27c writes, the cells it becomes, and what one LUT does.
Module 6 · Reading synthesis
What yosys reports about your design, and which warnings matter.
Module 7 · Place, route, timing
Where the cells land on the die, and whether the clock is met.
Module 8 · The bitstream
How a routed design becomes the bits the chip loads, with no Vivado.
Module 9 · On the board
Ask the chip who it is, load the bits, and check them.
Module 10 · Lab: our own research
A number format of our own, an honest scoreboard, and a model's tables multiplied on the board.