Week 01
Boolean Logic and Digital Representation
I revisit my VHDL sources, schematics, and waveforms from combinational logic through finite-state machines.
What I connect in this unit
A truth table enumerates binary input combinations, Boolean algebra groups equivalent outputs, and logic gates realize the reduced expression. This connects bit-level representation to a physical AND, OR, and NOT network.
Concept map
- Truth tables
- Boolean algebra
- Logic gates
- Binary representation
Technical anchor
For example, Y = A·¬B + ¬A·B matches the XOR truth table: the output is one only when the two input bits differ.
How I review it
A design check substitutes 00, 01, 10, and 11 for A and B, then compares the expression with the gate-level output.
Connection to the full course
Unit 1 of 12. Unit numbers are a reading sequence reconstructed from the saved designs, not an attendance-week record.