Barsaiya Lakshmi

Think of Boolean algebra as the language of logic gates. A logic gate is a physical electronic component that implements a Boolean function. Each basic operation has a corresponding gate: * An AND gate takes two or more inputs and outputs a 1 only if every input is 1. * An OR gate outputs a 1 if any of its inputs are 1. * A NOT gate (or inverter) has one input and outputs the opposite value.These are the building blocks. From them, we derive other fundamental gates like: * NAND (NOT-AND): The output is the opposite of an AND gate. It's a universal gate, meaning you can build any other gate using only NAND gates. * NOR (NOT-OR): The output is the opposite of an OR gate. It is also a universal gate. * XOR (Exclusive-OR): Outputs 1 only if the inputs are different. Crucial for binary addition.By connecting these gates together based on Boolean equations, engineers design adders, multiplexers, memory units, and ultimately, the central processing unit (CPU) of a computer.