# 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…

€ 120,^{00} - Doepfer A-186-1 Gate/Trigger Combiner
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 (black & Gold)
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€ 39,^{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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Module A-185-2 is a precision control voltage adder/buffer. Precision means that the amplification of the inputs without attenuators is exactly 1.00 and is suitable to add…€ 95,^{00} - 4ms Quad Clock Distributor -Rev 2 (QCD)
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€ 70,^{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…€ 139,^{00} - Buchla & Tiptop Audio 281t - Quad Function Generator
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The 281t Quad Function Generator comprises four function generators organized in two pairs. All four generators can operate independently or can be linked in pairs to generate…€ 199,^{00} - Doepfer A-165-2 Digital Modifiers
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Module A-165-2 includes six modification circuits for digital signals (clock, gate, trigger, start, stop etc.) which are derived from the two input signals Input 1 und 2:

∙ inverted signal of…€ 90,^{00}