Boolean Algebra Lab $-$ Part II

Activity Overview

In today's lab we will be using the Logic Blocks to build combinatorial and sequential circuits that represent the types of circuits used to build complex computing systems and components of systems.

Combinatorial Circuits

The first circuit we will build using only AND, OR$,$ and NOT gates represents the following

Boolean equation:

The circuit diagram for this is below:

Figure $1$: Combinatorial Circuit $1$

Create the truth table for this circuit and include it in your lab report. Include a labeled snip of your completed circuit. Summarize the truth table $-$ under what conditions does this gate result in true?

Next, create the following circuit using only three gate blocks from the set of AND, OR or NOT. Determine the truth table for this circuit and include it in your lab report. Compare the results of this circuit to the first combinatorial circuit, under what conditions does this circuit result in true? Using the Boolean laws we have discussed in class, explain the similarities and differences in the two circuits.