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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
Definitions. 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.
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.
V OH=Logic state “1” or “True”. The highest possible output voltage. V OL=Logic state “0” or “False”. The Lowest possible output voltage. V REF=Voltage for which the inverter switches from Logic state “1” to Logic state “0”. The transition is abrupt. The simplest implementation of the inverter consists of a resistor and ...
Lecture 11 - Logic gates and Boolean. 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. All possible combination of the inputs A, B ...
All of the logical gate functions, as well as the Boolean relations discussed in the next section, follow from the truth tables for the AND and OR gates. We reproduce these below.
Reduce the number of gates? Reduce the number of gate inputs? Reduce the number of cascaded levels of gates? 14 What is the optimal realization? How do we explore the tradeoffs? Logic minimization: Reduce number of gates and complexity Logic optimization: Maximize speed and/or minimize power CAD tools 15 Canonical forms Canonical forms
