Constructing A Truth Table XYZF1F1 0 1 0 1 1 0 1 0 InputsOutput Input Combinations 3 – Inputs 8 – Combinations (8 = 2 3 ) Note the binary counting order.

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Presentation transcript:

Constructing A Truth Table XYZF1F InputsOutput Input Combinations 3 – Inputs 8 – Combinations (8 = 2 3 ) Note the binary counting order of the inputs : = = = = = = = = 7 10 Outputs for Each Input Combination 1

Example Truth Tables ABF2F XYZF3F RSTUF4F Inputs 2 3 = 8 Combinations 4 Inputs 2 4 = 16 Combinations 2 Inputs 2 2 = 4 Combinations 2

Truth Table to Logic Expression Write the Minterm adjacent to every row in the truth table that contains a one in the output column. Write the Sum-Of-Products (SOP) logic expression by summing together all of the Minterms. Example Write the SOP logic expression for the output F 5 in the truth table below. XYZF5F

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