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# Digital Logic CPE231 - PowerPoint PPT Presentation

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

Digital Fundamentals, Ninth Edition

By Floyd

Instructor: Eng. Tuqa Manasrah

• 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

• 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..

• 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.

• Processed more efficiently and reliably

• Compact storage

• Greater accuracy

• Does not affected by noiseas well as analog values

• 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

• 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.

• 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.

• 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…

• 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.