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Describe the action of logic gates. • AND, OR, NAND, NOR, NOT, XOR and XNOR • Using Boolean expressions. • Using truth tables. Understand the use of universal gates. • NAND • NOR containing standard logic gates.
Combinational Logic Worksheet. Concept Inventory: • Truth tables ↔ sum-of-products equations. • implementation using NOT/AND/OR. • Demorgan’s Law, implementation using NAND/NOR. • Simplification, truth tables w/ don’t cares. • Karnaugh maps. • Implementation using MUXes and ROMs.
The outputs of the gates assume at all times the value of the Boolean function, implemented by the circuit. In contrast, a dynamic circuit relies on temporary storage of signal values on the capacitance of high impedance circuit nodes.
Introduction to Logic Gates. We will introduce Boolean algebra and logic gates. • Logic gates are the building blocks of digital circuits. Logic Variables. Different names for the same thing. Logic variables. Binary variables. Boolean variables. Can only take on 2 values, e.g., TRUE or False. ON or OFF. 1 or 0. Logic Variables.
Combinational Logic Worksheet. Concept Inventory: Truth tables ↔ sum-of-products equations. implementation using NOT/AND/OR. Demorgan’s Law, implementation using NAND/NOR. Simplification, truth tables w/ don’t cares. Karnaugh maps. Implementation using MUXes and ROMs.
Schematic: A drawing of interconnected gates. Net: Wires at the same voltage (electrically connected) Netlist: A list of all the devices and connections in a schematic. Fan-in: The # of inputs to a gate. Fan-out: The # of loads the gate drives. 4.
The basic logic gates - AND, OR, NOT, NAND, NOR, XOR - are described along with their truth tables and Boolean expressions. Combining these basic gates can represent any Boolean algebraic operation. This document discusses logic gates and their use in digital electronics.
