Summer

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The greek symbol Sigma is the mathematical notation for a sum

A Summer is an elementary building block of an analog computer which carries out a Summation, as in a + b = c. Here, a and b are called the summands and c is the sum. The electronical building block is called the summer. The Analog Thing ships four dedicated summers. That means you can build four sums in a circuit.

Summation in analog computers always falls back on Kirchhoffs Law, which itself is an application of conservation of current, or electrons, in particular. In a summing point (summing junction), the sum of the incoming and outgoing currents have to sum to zero. For more details, please refer to Analog computing literature.

Basic Usage of a Summer on The Analog Thing

All connector jacks of a single summer
  • Circles represent inputs, triangles outputs.
  • Put each quantity you want to sum into a different circle. Do not stack connectors on the input.
  • There are two input weights available: 1 and 10. Choose 1 in case you don't know what to do. Ignore the black inpouts saying 10. This way you can use each summer to sum up to four quantities.
  • There are two output slots. You can use both of them as you like and stack connectors however you like.
  • For the time being, ignore the slots SJ and FB. In the lower right, you get some ground (logical zero). You can also ignore it.

Nuvola apps important.svg Attention: Make sure the sum of your inputs does not exceed logical 1 (10V), otherwise an Overflow happens and the overflow LED will shine Red rouge.svg. See Logic levels for details.

Extended Usage of a Summer

  • If you choose input weight 10, you perform an amplification of this input. For details, see below
  • ...

Mathematics about analog summing

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This section is still under construction! Show definition equation, tell more

sum = weight1 * input1 + weight2 * input2 + ...


Other summers in The Analog Thing

The Inverters are electrically identical to summers. With their summing junctions, they can be used as summers if no more summers are available. See the article about Inverters and the XIR for more details. The Integrators are by definition also summing but cannot be stopped from integrating except in IC mode (see Modes).