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Crestron SIMPL™ Windows®
Software
Description
The AND symbol drives its output signal high if and only if all the inputs are high
simultaneously.
The AND symbol can be expressed using a truth table, where low stands for logical
0 (false), and high stands for logical 1 (true). Thus the truth table for a two-input
AND has <out> = high only for the row where both <i1> = high and <i2> = high.
Truth table for two-input AND:
<i1>
<i2>
<out>
low
low
low
low
high
low
high
low
low
high
high
high
See also NAND, OR, Exclusive OR, Exclusive NOR, NOR
Binary Decoder
Speed Key Name: decode
Signals
•
One digital input: <enable>
•
Any number of digital inputs: <i1> through <iM>
•
Any number of digital outputs: <o1> through <oN>, where N = 2M
Description
The Binary Decoder symbol drives a given output high, depending on the value of
the binary number presented on its inputs. The output that goes high is one higher
than the binary value of the inputs. Each input represents one bit of a binary number
(starting at <i1> with the least significant bit, or LSB), with low corresponding to 0
and high to 1.
Thus with a two-bit number, if <i1> is low and <i2> is low (representing 0), then <o1>
will go high. If <i1> is high and <i2> is low (representing 1), then <o2> will go high. If
<i1> is low and <i2> is high (representing 2), then <o3> will go high, and so forth.
NOTE: For M inputs, it is only necessary to define up to 2M outputs.
The Binary Decoder drives only one output signal high at a time, and only when
<enable> is high. If <enable> is low, all inputs remain low.
The Binary Decoder symbol can be expressed using a truth table, where Low stands
for logical 0 (false), High for logical 1 (true), and X for don't care (value is
irrelevant).
Truth table for two-input Binary Decoder:
<enable> <i1> <i2>
138 • Crestron SIMPL™ Windows®
<o1> <o2> <o3> <o4>
L
X
X
L
L
L
L
H
L
L
H
L
L
L
H
L
H
L
H
L
L
H
H
L
L
L
H
L
H
H
L
L
L
H
H
Symbol Guide – DOC. 6120