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ISI2017-PCB-CS-7-a
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Digital Logic
Sep 20, 2018
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Show that $\{1,A \bar{B}\}$ is functionality complete, i.e., any Boolean function with variables $A$ and $B$ can be expressed using these two primitives.
isi2017-pcb-cs
digital-logic
functional-completeness
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We have $1$ and $AB'$.
$F(A,B) = AB'$
$F(1,B) = 1.B' = B.$
$F(A,B') = A.(B')' = AB$
We can $ [*,’]$ so its functionally complete.
smsubham
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