WOLFRAM SYSTEM MODELER

Example setup of an 8-bit Adder component with integer input varying over time.

# Wolfram Language

In[1]:=
`SystemModel["EducationExamples.ElectricalEngineering.EightBitAdder.EightBitAdderExample"]`
Out[1]:=

# Information

Binary adders are digital circuits often used in computers for basic arithmetic operations. Using the digital package in the standard Modelica library, an 8-bit adder has been constructed that takes two 8-bit integers and calculates their sum.

#### Model Principles

The 8-bit adder model consists of eight 1-bit adders connected together in a series. The least significant bit of input a will be added together with the least significant bit of input b in the full adder located furthest to the right. Depending on the input, the adder will produce a 1-bit sum value that is the least significant bit of the result, as well as a 1-bit carry, which is sent to the next adder in the series. This is repeated in eight steps until 8 bits of output have been produced, as well as a possible carry-out signal.

The input to the calculator is varied using IntegerTable from the Modelica Standard Library. For each set of integers, the sum is calculated and simulated.

#### Simulation

To simulate the model, click the Simulate button in the top toolbar:

### Plot the Results

When you run the simulation you will see the Sum and bit 0 Model plot:

The plot displays the input and output from the adder converted to a real number, as well as the input states of the first bit.

# Parameters (2)

tableA Value: {21, 27, 31, 20, 17, 30, 22, 17, 29, 35} Type: Integer[:] Description: Table of integers to add together with table B Value: {50, 55, 49, 42, 56, 53, 59, 52, 47, 48} Type: Integer[:] Description: Table of integers to add together with table A

# Components (3)

eightBitAdder Type: Adder Description: Component that sums integers A and B together. Type: IntegerTable Description: Value at position A to be summed. Type: IntegerTable Description: Value at position B to be summed.