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Logic Symbols

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**Analog and Digital In a Crestron World**

For Crestron programming purposes Digital is single digit Binary (1/0, On/Off) Analog is 16 bit Binary, Decimal or Hex

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Digital Decisions Digital decisions are made by logic “elements” or “gates” A logic element will have it’s output state determined by the state of it’s inputs The most basic gates are: AND OR NOT

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**OR + This gate may have 2 or more inputs**

A + B B This gate may have 2 or more inputs The output is “true” when any input is true The + sign represents OR A + B means A or B

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**AND . This gate may have 2 or more inputs**

A . B B This gate may have 2 or more inputs The output is “true” when ALL inputs are true The . sign represents AND A . B means A AND B

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**______ NOT This gate has only 1 input**

This is sometimes called an INVERTER The output is true when the input is not true ___ The represents NOT _ A means NOT A

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Truth Tables Truth Tables are useful in determining the action of a logic symbol A truth table shows all combinations of inputs and the corresponding output for each.

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AND Truth Table Input A B Output A AND B 1

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OR Truth Table Input A B Output A OR B 1

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NOT Truth Table A _ 1

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**Make your own Truth Table or Logic Statement**

Given a scenario, if you can create a truth table or a “logic statement”, it will help to create the program logic. Example: You want the DVD power on to work only before 11:00 at night so the kids don’t stay up late. You also want the DVD power button to be smart, meaning not to power off if you mean to leave it on.

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Assumptions You have a signal from the built in clock that tells you it is after 11:00 (ELEVEN) You have a signal from i/o port 1 that tells you the DVD Power is On (DVD_ON) The touchpanel signal from press-join 10 is called DVDPOWERON

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Start a statement You need to send out the power signal to the DVD player when it is before 11:00 and someone pushes the DVD power on button and the DVD player is off. Make the statement more of an equation DVDPOWER = DVDPOWERON and NOT DVD_ON and NOT ELEVEN

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**Truth Table DVDPOWER = DVDPOWERON and NOT DVD_ON and NOT ELEVEN**

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**Truth Table DVDPOWER = DVDPOWERON and NOT DVD_ON and NOT ELEVEN**

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Draw the Logic From statement or truth table or both, develop the logic diagram DVDPOWERON AND ELEVEN NOT DVDPOWER DVDON NOT

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Program the logic

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**Use a Truth Table Symbol**

Crestron has a truth table symbol It may be easier than building your own logic You still have to understand the logic to make the truth table correct

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Chapter 3 Digital circuits. 3.1 Logic signals - Gates Binary system : (binary bits or digits) - 0 & 1 - LOW & HIGH - Negated and Asserted.

Chapter 3 Digital circuits. 3.1 Logic signals - Gates Binary system : (binary bits or digits) - 0 & 1 - LOW & HIGH - Negated and Asserted.

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