# BooleanConvert

BooleanConvert[expr]

converts the Boolean expression expr to disjunctive normal form.

BooleanConvert[expr,form]

converts the Boolean expression expr to the specified form.

BooleanConvert[expr,form,cond]

finds an expression in the specified form that is equivalent to expr when cond is true.

# Details and Options • BooleanConvert[expr,form] will produce an expression equivalent to expr.
• Available forms are:
•  "DNF","SOP" disjunctive normal form, sum of products "CNF","POS" conjunctive normal form, product of sums "ESOP" exclusive sum of products "ANF" algebraic normal form "NOR" two-level Nor and Not "NAND" two-level Nand and Not "AND" two-level And and Not "OR" two-level Or and Not "IMPLIES" Implies and Not "ITE","IF" If and constants "BFF" BooleanFunction form "BDT" Boolean decision tree
• The expression expr can contain any Boolean or logical functions, including BooleanFunction, BooleanCountingFunction, etc.
• BooleanConvert[bf,form] converts the internal form of a pure BooleanFunction object.
• BooleanConvert supports a Method option that specifies the detailed method to use.

# Examples

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## Basic Examples(3)

Convert a Boolean expression to disjunctive normal form:

 In:= Out= Convert xy to some common forms:

 In:= Out= Convert xyz using the condition that x(yz) is true:

 In:= Out= Show that the output is equivalent to the input when x(yz):

 In:= Out= ## Neat Examples(1)

Introduced in 2008
(7.0)