#### Title

Computation of signal output probability for Boolean functions represented by OBDD

#### Document Type

Article

#### Abstract

In [l] and [2], two algorithms have been proposed to calculate the output probability of Boolean functions represented by OBDDs, assuming that the input variables are equiprobable and each variable is statistically independent from others. In this paper, we point out that under these assumptions, the output probability calculation is equivalent to counting the number of minterms of the corresponding Boolean functions. An algorithm is proposed to compute the output probability using simple integer arithmetic as opposed to floating point arithmetic involved in [1,2]. To compute output probability of Boolean functions represented by shared OBDI)s and OBDDs with edge negation, we further propose a generalized algorithm.

#### Keywords

Algebra; Boolean--Data processing; Algorithms; Machine theory; Programming (Mathematics)

#### Disciplines

Computer and Systems Architecture | Computer Engineering | Computer Sciences | Electrical and Computer Engineering | Theory and Algorithms

#### Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

#### Citation Information

Jiang, Y.,
Wang, Y. K.,
Song, X. Y.,
Savaria, Y.
(2004).
Computation of signal output probability for Boolean functions represented by OBDD.
*Computers & Mathematics with Applications, 47*(12),
1865-1874.