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DAT2343 Basic Logic Gates © Alan T. Pinck / Algonquin College; 2003

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Logic Gates Goal: To understand how digital a computer can work, at the lowest level. To understand what is possible and the limitations of what is possible for a digital computer.

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Logic Gates All digital computers for the past 50 years have been constructed using the same type of components. These components are called logic gates. Logic gates have been implemented in many different ways. Currently, logic gates are most commonly implemented using electronic VLSI transistor logic.

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Logic Gates All basic logic gates have the ability to accept either one or two input signals (depending upon the type of gate) and generate one output signal.

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Logic Gates Input and Output signals are binary. binary: always in one of two possible states; typically treated as: On / Off (electrically) 1 / 0 True / False There is a delay between when a change happens at a logic gates inputs and when the output changes, called gate switching time. The True or False view is most useful for thinking about the meaning of the basic logic gates.

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Logic Gates The four basic logic gates are: AND OR XOR NOT Each of these gates may be drawn in either A generic form; or An electrical engineering form (more common in text books)

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Logic Gates : AND The Output signal from an AND gate is True (on, 1) if and only if both Input signals are True (on, 1). The Output signal from an AND gate is False (off, 0), otherwise.

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Logic Gates : OR The Output signal from an OR gate is True (on, 1) if either, or both, Input signals are True (on, 1). The Output signal from an OR gate is False (off, 0) if and only if both Input signals are False (off, 0).

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Logic Gates : XOR The Output from an XOR (exclusive or) is True (on, 1) if and only if the Input signals are different. The Output from an XOR is False if the Input signals are either both True or both False.

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Logic Gates : NOT The Output signal from a NOT gate is True (on, 1) if and only if the Input signal is False. The Output signal from a NOT gate is False (off, 0) if and only if the Input signal is True.

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Logic Gates : NOT combined with other gates Note that in the classic: electronic engineering form, it is really the bubble that indicates the NOT activity.

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Logic Gates : Analysis of Circuit with Feedback

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Logic Gates : Summary Truth Tables 0 = False = off 1 = True = on

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End of Lecture

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AND Gate Inputs Output Input A (Switch) Input B (Switch) Output Y (Lamp) 0 (Open) 0 (OFF) 0 0 1 1 A B Lamp.

AND Gate Inputs Output Input A (Switch) Input B (Switch) Output Y (Lamp) 0 (Open) 0 (OFF) 0 0 1 1 A B Lamp.

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