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Gate: A Gate is a simply an electronic circuit which operates on one or more input signals and always produces an output signal. Gates are digital (t wo state) circuits because the input and output signals are either low voltage (0 ) or
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.
Boolean algebra and Logic Gates BOOLEAN OPERATIONS AND EXPRESSIONS Variable, complement, and literal are terms used in Boolean algebra. A variable is a symbol used to represent a logical quantity. Any single variable can have a 1 or a 0 value. The complement is the inverse of a variable and is indicated by a bar over variable (overbar).
2.1 Logic Gates. What you’ll learn in Module 2.1 . After studying this section, you should be able to: Describe the action of logic gates. AND, OR, NAND, NOR, NOT, XOR and XNOR. Using Boolean expressions. Using truth tables.
The basic logic gates are the inverter (or NOT gate), the AND gate, the OR gate and the exclusive-OR gate (XOR). If you put an inverter in front of the AND gate, you get the NAND gate etc. One of the common tool in specifying a gate function is the truth table.
Digital Electronics Fundamental Logic Gates Truth Table Circuit Representation Boolean Expression A B Q A B Q 0 0 0 0 1 0 1 0
•The easiest gate to analyze is the invert er (NOT) gate. By looking at the inverter we can l tdlbtllthili l ttilearn a great deal about all gate physical implementations. •The Voltage Transfer Characteristic (VTC) of an ideal inverter is: v i Definitions: •V OH =Logic state “1” or “True”. The highest possible output voltage. •V OL
Logic Gates • digital circuit that either allows a signal to pass through it or not. • Used to build logic functions • There are seven basic logic gates: AND, OR, NOT, NAND (not AND), NOR (not OR), XOR, and XNOR (not XOR) [later] Building Functions: Logic Gates A B Out 0 0 0 0 1 1 1 0 1 1 1 1 A B Out 0 0 0 0 1 0 1 0 0
Be familiar with drawing and interpreting logic gate circuit diagrams involving one or more of the above gates. Complete a truth table for a given logic gate circuit. Write a Boolean expression for a given logic gate circuit. Draw an equivalent logic gate circuit for a given Boolean expression.
1 Lecture 4 Logic gates and truth tables Implementing logic functions Canonical forms Sum-of-products Product-of-sums 2 Logic gates and truth tables AND X•Y XY