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Answer the following in short.
Convert the Boolean expression F(X,Y,Z) = X'Y'Z + X'YZ' + XYZ into its cardinal form.
Convert the Boolean expression $F(X,Y,Z) = X'Y'Z + X'YZ' + XYZ$ into its cardinal form.
Answer
Answer
$F(X,Y,Z) = X'Y'Z + X'YZ' + XYZ$
Each term contains all three variables, so it is a minterm: $X'Y'Z = 001 = m_1$, $X'YZ' = 010 = m_2$, $XYZ = 111 = m_7$.
Cardinal form: $F(X,Y,Z) = \Sigma(1, 2, 7)$ (verified with the boolean tool).
Equivalently, in maxterm form: $F(X,Y,Z) = \pi(0, 3, 4, 5, 6)$.