Question

What is maxterm of x+y bar +z

Answer 1

Answer:

In general, the unique algebraic expression for any Boolean function

can be obtained from its truth table by using an OR operator to

combined all minterms for which the function is equal to 1.

A minterm, denoted as mi, where 0 ≤ i < 2n

, is a product (AND) of

the n variables in which each variable is complemented if the value

assigned to it is 0, and uncomplemented if it is 1.

1-minterms = minterms for which the function F = 1.

0-minterms = minterms for which the function F = 0.

Any Boolean function can be expressed as a sum (OR) of its 1-

minterms. A shorthand notation:

F(list of variables) = Σ(list of 1-minterm indices)

Ex. F = x' y z + x y' z + x y z' + x y z

= m3 + m5 + m6 + m7

or

F (x, y, z) = Σ(3, 5, 6, 7)

The inverse of the function can be expressed as a sum (OR) of its 0-

minterms. A shorthand notation:

F'(list of variables) = Σ(list of 0-minterm indices)

Explanation:

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