N301 Designing Circuits

Goals ,[object Object],[object Object],[object Object],[object Object]

Where We’ve Been ,[object Object],[object Object],[object Object]

Where We’re Going ,[object Object],[object Object]

What is a Circuit? ,[object Object],[object Object]

Circuit Analysis ,[object Object],[object Object],[object Object],Q = ~ ((A + B) • (~B)) Q = NOT ((A OR B) AND (NOT B)) Q = (A + B) Q = (A OR B) Using Symbols Using Operator Names Examples of Boolean Expressions

Circuits & Boolean Expressions ,[object Object],[object Object],[object Object]

Constructing Circuits ,[object Object],[object Object]

The Four Steps for the Sum-Of-Products Algorithm ,[object Object],[object Object],[object Object],[object Object]

Sub-of-Products Example ,[object Object]

Sub-of-Products Example ,[object Object],[object Object],[object Object],[object Object],[object Object]

Sub-of-Products Example: Step 1 ,[object Object],1 1 0 1 1 0 0 0 Q B A OUTPUT INPUTS

Sub-of-Products Example: Step 2a ,[object Object],1 1 1 0 0 1 0 1 0 1 0 0 Q B A OUTPUT INPUTS

Sum-of-Products Example: Step 2b ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Sum-of-Products Example: Step 3 ,[object Object],[object Object],[object Object],[object Object]

Sum-of-Products Example: Step 4 ,[object Object],Q A B

Where We Were Limited ,[object Object],[object Object],[object Object]

General Rules/Guidelines ,[object Object],[object Object],[object Object],[object Object],[object Object]

Let’s Do One! ,[object Object],[object Object]

Problem Solution ,[object Object],1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 Q C B A OUTPUTS INPUTS

Problem Solution ,[object Object],0 1 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 Q C B A OUTPUTS INPUTS

Problem Solution ,[object Object],[object Object],[object Object],[object Object]

Problem Solution: Step 4 ,[object Object],Click Button for the xLogicCircuits Applet

Simplifying Boolean Expressions ,[object Object],[object Object]

Boolean Axioms ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

De Morgan’s Laws ,[object Object],[object Object],[object Object],[object Object]

Where We Are Going ,[object Object],[object Object]

N301 Designing Circuits

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N301 Designing Circuits