> I have need of a A <a6465c0244621c63e7e1e96eb55aad7a.png> B logic gate 
> otherwise known as Converse implication.

mathematical expression

(!a & b) ? 0 : 1

(more verbally:  the only false case is !a & b -- therefore, we select that 
case for false, and all others for true.  given the truth table you provided, 
that seems simplest)
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