ME 140L - Prelab 7

# ME 140L Prelab 7 - PRELAB 7 BOOLEAN ALGEBRA LOGIC GATES KARNAUGH MAPS COMBINATIONAL LOGIC 1 OBJECTIVES Review the input/output logic of AND OR NOR

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PRELAB 7 BOOLEAN ALGEBRA - LOGIC GATES KARNAUGH MAPS & COMBINATIONAL LOGIC 1. OBJECTIVES s Review the input/output logic of AND, OR, NOR, NAND and XOR gates. s Learn how to use Karnaugh’s maps to solve a given problem. 2. NOTATIONS : Logic AND + : Logic OR x : Logic XOR : Logic NOR 3. BOOLEAN ALGEBRA So far we have been building circuits using analog signals. In electric circuits, an analog signal is an electric signal that can have several values (i.e. from 0 to 12 Volts including 2.50, 2.51, 3.2, 8.7, etc). On the other hand, a digital signal can only have certain values. Binary digital signals can only have two values (usually 5 Volts or 0 Volts) BINARY DIGITAL SIGNALS ELECTRICAL BOOLEAN High 5 Volts True (1) Low 0 Volts False (0) It is also said that digital signals have discrete values . The Boolean algebra is the name given to the mathematics associated with binary numbers (0 or 1). Logic functions (such as AND, OR, NOT, etc) can be shown in the form of truth tables. 4. LOGIC GATES Logic gates are electrical devices that perform logical functions using electrical inputs. Most of the systems we use on a daily basis may be understood as combinational circuits using logic gates that perform basic functions: s When using a washing machine, the washing cycle will only start if you selected the

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## This note was uploaded on 09/18/2011 for the course ME 140L taught by Professor Staff during the Fall '09 term at University of Texas at Austin.

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ME 140L Prelab 7 - PRELAB 7 BOOLEAN ALGEBRA LOGIC GATES KARNAUGH MAPS COMBINATIONAL LOGIC 1 OBJECTIVES Review the input/output logic of AND OR NOR

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