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Unformatted text preview: HOW 1s AND 0s RULE THE WORLD Utku Altunkaya Outline Introduction Basic Logic Operations Logic Circuits Base2 (Binary) Number System Analog vs. Digital Signals and Systems Implementation Technologies for Digital Circuits Introduction All digital systems are built around the fundamentals of the base2 (binary) number system, which uses only 1s and 0s to represent numbers. Anything that can be expressed as a binary number can be processed by a digital system. Introduction Here are a few concepts and acronyms related to digital systems that are widely used in daily life: Bits, bytes, kilo, mega, and gigabytes Microprocessors, RAM, ROM CDROM, CD Audio, MP3 compression DVD, MPEG and DivX compression Internet, modem, ADSL, kbps, mbps… Logic Operations THE AND GATE The AND gate implements the Boolean AND function where the output is logic 1 only when all inputs to the AND gate are logic 1. The standard symbol and the truth table for a twoinput AND gate is: The Boolean expression for the AND gate is Y = A ∙ B Logic Operations THE OR GATE The OR gate implements the Boolean OR function where the output is logic 1 when any input to the OR gate is logic 1. The standard symbol and the truth table for a twoinput OR gate is: The Boolean expression for the OR gate is Y = A + B Logic Operations THE NOT GATE The NOT gate (Inverter) implements the Boolean NOT function where the output is the inverse of the input. The standard symbol and the truth table for the NOT gate is: The Boolean expression for the NOT gate is Y = A ’ ....
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This note was uploaded on 10/18/2009 for the course EE ee431 taught by Professor Ee during the Spring '04 term at Istanbul Technical University.
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