DIGITAL LOGIC
- EXCLUSIVE OR
The EXCLUSIVE OR gate is a
device which requires the inputs to be different to obtain an output. The
symbol for an EXCLUSIVE OR is shown below. The
notation used to express this logic statement is C = A ® B and is read "C
equals A exclusive or B".
Function
The function
of an EXCLUSIVE OR gate is similar to the circuit shown below. Only when there
is an input at A and not B or vice versa is there be an output at C. For
example, if there is an input at A and not at B, relay A is energized and the
lower switch above relay A is open and the upper switch above A closes. Because
there is no input at B, relay B is not energized. The lower switch above B is
open and the upper switch is closed. Therefore, with the upper switch above
relay A closed and the upper switch above B closed, the circuit is completed to
get an output at C. Note only when both switches on the upper circuit are
closed or when both switches on the lower circuit are closed, is there an
output at C.
Truth
Table
The various combinations of
inputs and the resulting outputs for the function circuit are shown.
Timing Diagram
The timing
diagram shows the resulting output at C with inputs at A and B at different
times for the function circuit.
Figure : Digital logic – EXCLUSIVE OR
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