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COMBINATIONAL LOGIC Circuit Design. Steps. Create the truth table Extract the Boolean Expression from the truth table or create a K-Map Simplify the expression Draw the schematic Build the circuit. A B C X 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1. Boolean Expression Is:
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Steps • Create the truth table • Extract the Boolean Expression from the truth table or create a K-Map • Simplify the expression • Draw the schematic • Build the circuit
A B C X 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Boolean Expression Is: ABC + ABC + ABC=X ABC ABC ABC Logic Problem Design a safety alarm system for a car that alerts the driver when the seatbelts have not been fastened, or when the door is ajar while the key is in the ignition. A=Key B=Door C=Seatbelt 0 0 0 0 0 1 1 1
Create Expression & Simplify K-Map Boolean Simplification C 0 1 AB 00 0 0 Dist. 01 0 0 Th. 6 1 1 11 Th. 4 Dist. 0 1 10 Th. 11 Dist.
X Create Circuit Schematic