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iplican
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There are 7 letters in IPLICAN ( A1C3I1L1N1P3 )
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In Boolean logic, an implicant is a "covering" (sum term or product term) of one or more minterms in a sum of products (or maxterms in product of sums) of a Boolean function. Formally, a product term P in a sum of products is an implicant of the Boolean function F if P implies F. More precisely:* P implies F (and thus is an implicant of F) if F also takes the value 1 whenever P equals 1.where * * F is a Boolean function of n variables. * P is a product term.This means that P * * * * ≤ * * * {\displaystyle \leq } * F with respect to the natural ordering of the Boolean space. For instance, the function * * * * * f * ( * x * , * y * , * z * , * w * ) * = * x * y * + * y * z * + * w * * * {\displaystyle f(x,y,z,w)=xy+yz+w} * is implied by * * * * x * y * * * {\displaystyle xy} * , by * * * * x * y * z * * * {\displaystyle xyz} * , by * * * * x * y * z * w * * * {\displaystyle xyzw} * , by * * * * w * * * {\displaystyle w} * and many others; these are the implicants of * * * * f * * * {\displaystyle f} * . |