upc eetac_1 Bachelor's Degree in Telecommunications Systems and in Network Engineering

Project P1 tutorial on using WolframAlpha to analyse simple circuits

P1


Boolean algebra calculator (analysis method II)

1. Specifications

The aim is to obtain a circuit's truth table directly from its boolean algebraic equation using the WolframAlpha calculator from Wolfram Research. For instance, the circuit represented in Fig. 1.

Circuit circuit
f = g(A, B, C, D)

Fig. 1.

Circuit to be analysed.

 

2. Plan

As shown in Fig. 2, the circuit equation is the same concept as the circuit logic diagram.

planning

Fig. 1.

Circuit to be analysed and its equation (visio).

A. Analyse the circuit network to deduce the equation.

B. Translate the equation to WolframAlpha language, step by step saving partial results in a text file. Start with a simple factor and run the engine to check results. Repeat until the equation is completed.

C. Examine the order of the truth table input variables and rearrange them if necessary to obtain the final truth table.

D. Check solutions with other team mates or with results from other analysis methods.

E. Produce an original handwritten report following the usual template and including pictures, diagrams, computer results and pen annotations and comments.

 

3. Development 

A) The circuit and its algebraic equivalent equation

f = g(A, B, C, D)= ( (A + B)·C’·(A·D)’ )’

B) Write the equations.txt into WolframAlpha and run the software to obtain the truth table:

wolfram

C) This is an example of computer results that must be interpreted. In this case, the input columns have to be rearranged in order to deduce the correct terms.

result

 

truth table

 

Additionally, you may like to obtain the circuit representation:

circuit

Circuit

 

Other similar projects

- Another example. Circuit_A. Draft solution using the method III to check the truth table.

- Another example. Circuit_B. Draft solution using the method III to check the truth table.

- Another example on how to use WolframAlpha to solve a truth table.

 

Other applications

- And sure, you can use WolframAlpha to calculate anything you like, for instance, functions and derivatives:

equation

y(x) = 5sin^2(x^4)

Formula

The first derivative y'(x) = dy/dx

Function

 

And for instance:  integrate ( sqr (4-x^2) (x^3 cos(x/2) + 1/2 ) )dx from -2 to 2

  Password

result