Activity 2.1.5
Introduction
Would you pay $199 for a written specification for an MP3 player? Would you pay $299 for the schematics for a cell phone? Of course not. You don’t pay for the specifications or the schematics; you pay for the product itself.
You are not quite to the point where you can design an MP3 player or a cell phone, but you can design AOI logic circuits. In this activity you will learn how to implement AOI logic circuits from logic expressions. The logic expressions will be in either Sum-Of-Products (SOP) or Product-Of-Sums (POS) form.
Conclusion
1. The two circuits shown below are equivalent, meaning that they both produce the same output, Minterm=WXYZ.
Analyze each circuit to prove that they both produce the output Minterm=WXYZ.
Since the two versions produce the same output and require the same number of gates to implement, is one version any better than the other?
Yes, version two would take less time.
Note: Think delays. Though we don’t normally worry about it in our designs, remember that all logic gates have propagation delay.
2. Shown below are two equivalent circuits. One was implemented from an SOP logic expression and the other from the equivalent POS form.
Would you pay $199 for a written specification for an MP3 player? Would you pay $299 for the schematics for a cell phone? Of course not. You don’t pay for the specifications or the schematics; you pay for the product itself.
You are not quite to the point where you can design an MP3 player or a cell phone, but you can design AOI logic circuits. In this activity you will learn how to implement AOI logic circuits from logic expressions. The logic expressions will be in either Sum-Of-Products (SOP) or Product-Of-Sums (POS) form.
Conclusion
1. The two circuits shown below are equivalent, meaning that they both produce the same output, Minterm=WXYZ.
Analyze each circuit to prove that they both produce the output Minterm=WXYZ.
Since the two versions produce the same output and require the same number of gates to implement, is one version any better than the other?
Yes, version two would take less time.
Note: Think delays. Though we don’t normally worry about it in our designs, remember that all logic gates have propagation delay.
2. Shown below are two equivalent circuits. One was implemented from an SOP logic expression and the other from the equivalent POS form.
How do the two truth tables compare? Is the column for F3 the same for both? They should be. If they are not the same, review your work and make any necessary corrections.
Column F3 is the same.
Since the truth tables are the same for F3, what could be said about the two logic expressions?
POS and SOP can have the same outputs.
Column F3 is the same.
Since the truth tables are the same for F3, what could be said about the two logic expressions?
POS and SOP can have the same outputs.