Simplifying Circuits with Boolean Algebra

This massive, complicated circuit and this tiny, simple one do the exact same thing.

The secret is Boolean algebra, the math that runs our digital world. We use a visual

tool called a K-map to simplify everything. It's a grid where you plot your logic and find the biggest

groups of '1s'. The bigger the group, the simpler the circuit. We can even use

"don't care" inputs to make even larger groups. This lets us build any logic,

no matter how complex, using only one type of gate, like a NAND gate. It's how engineers

design the efficient chips inside your phone.