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Digital Logic CPE231. Digital Fundamentals, Ninth Edition By Floyd Instructor: Eng. Tuqa Manasrah. Ch 1: Digital Concepts. Explain the basic differences between digital and analog quantities Show how voltage levels are used to represent digital quantities

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Digital logic cpe231 l.jpg

Digital Logic CPE231

Digital Fundamentals, Ninth Edition

By Floyd

Instructor: Eng. Tuqa Manasrah


Ch 1 digital concepts l.jpg
Ch 1: Digital Concepts

  • Explain the basic differences between digital and analog quantities

  • Show how voltage levels are used to represent digital quantities

  • Explain the basic logic operations of NOT, AND, and OR


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Introduction

  • Digital is derived from the way computers perform operations, by counting digits.

  • In past digital electronics confined to computer systems.

  • Today, digital technology every where.. TV, radar, medicine, communication, military, transportation..


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Digital and Analog quantities

  • Digital quantity have discrete values

  • Analog quantity have continuous values

  • Things measured in nature in analog form (ex. temperature)

  • Take a temp reading every hour  sampled values at discrete points (quantization)

  • Each sample can be represented by a digital code.


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The digital advantage

  • Processed more efficiently and reliably

  • Compact storage

  • Greater accuracy

  • Does not affected by noiseas well as analog values


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Binary digits

  • Digital electronics involves circuits with two possible states

  • The two states are represented by two voltage levels: High, Low

  • Binary digit: a two state number with two digits (0, 1).

  • Each of the two digits in the binary system 1 and 0 is called bit.

  • 1 represented by higher voltage (HIGH)

  • 0 represented by lower voltage (LOW)

  • Codes: group of bits used to represent numbers, symbols, alphabets.. etc


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Voltage levels

  • VH(min) to VH(max) = HIGH (binary 1)

  • VL(min) to VL(max) = LOW (binary 0)

  • VL(max) to VH(min) = unacceptable for proper operation.


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Digital waveforms

  • Consist of voltage levels that are changing back and forth between HIGH and LOW levels.

  • Positive going pulse.

  • Negative going pulse.

  • Leading edge (+ve edge, raising).

  • Trailing edge (-ve edge, falling).

  • A digital waveform is made up of a series of pulses.

  • Binary information appears as waveforms that represent a sequence of bits.

  • Each bit occupies a defined time interval called bit time.

  • Data refers to group of bits that express some type of information.


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Basic logic operations

  • In human reasoning, logic tells you that a certain proposition is true if certain conditions are true.

  • In daily life you faced many yes/no statements.

  • Ex. “The light is ON will be true if the bulb is not burned out”

  • “The light is ON will be true if the bulb is not burned out and the switch is on”

  • In 1850, George Boole developed a mathematical system for formulating logic statements with symbols so that problems can be written and solved similar to ordinary algebra…


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Continue..

  • Boolean algebra is applied in the design and analysis of digital systems.

  • Logic is applied to digital circuits to implement logic functions.

  • The basic logic operations: NOT, AND, OR.

  • A circuit that performs the logic operations is called logic gate.