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Logic Gates
Getting Started in Digital Electronic
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.
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.
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.
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
 The True or False view is most useful for
thinking about the meaning of the basic
logic gates.
Logic Gates
 The six basic logic gates are:
 AND
 OR
 XOR
 NOT
 NAND
 NOR
 Each of these gates may be drawn in either
 A generic form; or
 An electrical engineering form (more common in text books)
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.
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).
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.
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.
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.
Logic Gates : Summary
Truth Tables
0 = False = off
1 = True = on
A B
A B
A B A
AND GATE
OR GATE
X-OR GATE
NOT GATE
Logic Gates : Summary
Truth Tables
0 = False = off
1 = True = on
NAND GATE
NOR GATE
Logic gates 1

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Logic gates 1

  • 1. Logic Gates Getting Started in Digital Electronic
  • 2. 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.
  • 3. 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.
  • 4. 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.
  • 5. 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  The True or False view is most useful for thinking about the meaning of the basic logic gates.
  • 6. Logic Gates  The six basic logic gates are:  AND  OR  XOR  NOT  NAND  NOR  Each of these gates may be drawn in either  A generic form; or  An electrical engineering form (more common in text books)
  • 7. 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.
  • 8. 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).
  • 9. 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.
  • 10. 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.
  • 11. 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.
  • 12. Logic Gates : Summary Truth Tables 0 = False = off 1 = True = on A B A B A B A AND GATE OR GATE X-OR GATE NOT GATE
  • 13. Logic Gates : Summary Truth Tables 0 = False = off 1 = True = on NAND GATE NOR GATE