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LOGIC GATES
AN 2015
~AN~ 1
DIGITAL CIRCUITS
• A binary number has only 2 digits – 0 and 1.
There can be a voltage corresponding to 0
(say 0V) and 1 (say 5V). In digital electronics
only these two levels of voltages are used.
Such signals are called Digital Signals.
~AN~ 2
LOGIC GATES
• A Gate is a digital circuit that follows certain
logical relationships between the input and
output voltages. Thus, they are generally
known as logic gates.
• They consist of one or more input signals but
only one output signal.
~AN~ 3
NOT GATE or INVERTERS
• An Inverter is a gate with only 1 input signal
and 1 output signal
• The output state is always the opposite of
the input state
~AN~ 4
NOT GATE
• Logic Symbol
• Boolean Expression Z = X’
~AN~ 5
AND GATE
• 2 or more input signals and 1 output signal
• All inputs must be high to get a high
output.
~AN~ 6
AND GATE
• Boolean Expression Z = X .Y
• Logic Symbol
X
Y
Z
If X is TRUE AND Y is TRUE then Z will be TRUE otherwise Z is FALSE.
~AN~ 7
OR GATE
• 2 or more input signals and 1 output signal
• If any input signal is high, the output signal
is high.
~AN~ 8
OR GATE
• Boolean Expression Z = X +Y
• Logic Symbol
X
Y
Z
If X is TRUE OR Y is TRUE then Z will be TRUE otherwise Z is FALSE.
~AN~ 9

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Logic Gates

  • 2. DIGITAL CIRCUITS • A binary number has only 2 digits – 0 and 1. There can be a voltage corresponding to 0 (say 0V) and 1 (say 5V). In digital electronics only these two levels of voltages are used. Such signals are called Digital Signals. ~AN~ 2
  • 3. LOGIC GATES • A Gate is a digital circuit that follows certain logical relationships between the input and output voltages. Thus, they are generally known as logic gates. • They consist of one or more input signals but only one output signal. ~AN~ 3
  • 4. NOT GATE or INVERTERS • An Inverter is a gate with only 1 input signal and 1 output signal • The output state is always the opposite of the input state ~AN~ 4
  • 5. NOT GATE • Logic Symbol • Boolean Expression Z = X’ ~AN~ 5
  • 6. AND GATE • 2 or more input signals and 1 output signal • All inputs must be high to get a high output. ~AN~ 6
  • 7. AND GATE • Boolean Expression Z = X .Y • Logic Symbol X Y Z If X is TRUE AND Y is TRUE then Z will be TRUE otherwise Z is FALSE. ~AN~ 7
  • 8. OR GATE • 2 or more input signals and 1 output signal • If any input signal is high, the output signal is high. ~AN~ 8
  • 9. OR GATE • Boolean Expression Z = X +Y • Logic Symbol X Y Z If X is TRUE OR Y is TRUE then Z will be TRUE otherwise Z is FALSE. ~AN~ 9