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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.
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.
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
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 ...
Lecture 32. Digital Logic Gates. Reading: Jaeger 6.1-6.4 and Notes. NOT or Inverter Gate: (Asks, is the input false?) Input Output. A Z. Logic Function: Z A. False=State “0” True=State “1” AND Gate: (Asks, are all inputs true?) Inputs. Logic Function: Output. . AB. OR Gate: (Asks, is any input true?) Inputs. Logic Function: Z.
Logic gates. A major advance that the invention of transistors allowed was the mass production of logic gates, the next building block in microprocessors. Logic gates are circuits that implement the logical AND, OR, NOT and other boolean functions, whose truth tables we studied last week.
