# Logic

Because CV signals like square waves, gates, and clocks produce binary on/off voltages, they can be used in Boolean logic equations, or operations, which form the foundation of computational data and processing.

While that might sound daunting and intimidating, these equations are pretty simple and don’t require a math degree. Usually they take two inputs and compare them to produce an output which will depend on the logic type being used.

The first logic operation we’ll look at is called **AND**. All this means is that if all inputs are high, the output will also be high. This is useful if you want something to always trigger in sync, but have some variation.

Next we have **OR**, where if one input or another are high, or both, then the output will be high. This is useful if you have a number of gate signals that you want to combine and send to one source.

Then there’s **NOR**, which is high if neither one nor the other is high. While thinking of it as nor is convenient in this case, it really means negative OR, meaning that it is the opposite of OR. Thinking of it this way will help make more sense of **NAND**, which is negative AND. NAND will be high unless all inputs are high, exactly the opposite of AND.

**XOR** is exclusive OR, meaning that it goes high if one input is high, but not if all inputs are high. Lastly, **XNOR** is the opposite of this, and goes high if all inputs are high or if all inputs are low.

As you can probably imagine, these different logic types can interpret incoming gates into a number of different rhythms to trigger events in your system.

- Doepfer A-166 Dual Logic Module
Dual logic module with 3 inputs for each unit. The logical states of the inputs ("1" = high / "0" = low) are linked together in 3 ways: AND, OR, EXOR (exclusive OR). The three functions are available simultaneously at three…

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Module A-186 is a very simple, passive unit that combines up to 7 gate, trigger or analog signals by or-wiring.

Function:

∙ if all seven inputs are low or open the output is low

∙ if one or more of the seven inputs is…€ 45,^{00} - Make Noise MATHS
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∙ Generate a variety of linear, logarithmic, or exponential triggered or continuous functions

∙…€ 325,^{00} - Make Noise Multiple / Gate combiner
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€ 479,^{00} - WMD - Geiger Counter Eurorack
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The WMD flagship Geiger Counter guitar pedal turned Eurorack module. Added features include direct input to bypass the gain and tone circuits and CV control over every parameter. The Eurorack Geiger…€ 249,^{00} - WMD - SSM Expand
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The SSM Expand 8 HP module provides extended functionality of the SSM.

Features

∙ Gate/Trigger Outputs of Each Route

∙ Gates Mirror Routing LEDs

∙ Triggers Occur on Steps

∙ Step Output For CV and…€ 139,^{00} - WMD - Sequential Switch Matrix
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Introducing the WMD Sequential Switch Matrix: Their take on an essential module.

Four inputs can be routed with individual buttons to four outputs. Those routing settings are stored in an array of…€ 298,^{00} - WMD - Synchrodyne Expand
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TOOL-BOX is a collection of six useful synthesizer utilities.

This module includes a two input voltage summing section, a signal rectifier, bipolar comparator, analog OR (maximum), an inverter and a voltage…€ 147,^{00} - 2hp - Logic
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Logic is a 2 channel, boolean gate operator. It provides two unique logic operations: AND and OR. The AND Channel is useful for gating existing rhythmic events within a patch.

Conversely, The OR channel is well…€ 99,^{00} - Doepfer A-185-2V Precision CV Adder (vintage black)
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€ 65,^{00} - Klavis Logica XT
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Voltage-controlled logic and gate processor

14 modes of operation:

6 basic logic functions

2 forced states

6 advanced logic functions:

The Gater adds-up multiple gate signals while maintaining each triggering…€ 115,^{00}