1
Question
The total number of boolean functions, which can be realised with four variables is
The total number of boolean functions, which can be realised with four variables is
Open in App
Solution
The correct option is D 16
The total number of Boolean functions,
which can be realised with four variables is 16.
The values a, b, c, d of the function f
can be either a 0 or 1.
Since there are 2 choices
for 4 values, there are a total of 16 = 24 = 222 different
functions.
A Boolean-valued function is a function
of the type f : X-B, where X is an arbitrary set and where B is a Boolean
domain, that is a generic two-element set, whose elements are interpreted as
logical values, for example, 0 =
false and 1 = true, that is, a single bit of information.
The total number of Boolean functions, which can be realised with four variables is 16.
The values a, b, c, d of the function f can be either a 0 or 1. Since there are 2 choices for 4 values, there are a total of 16 = 24 = 222 different functions.
A Boolean-valued function is a function of the type f : X-B, where X is an arbitrary set and where B is a Boolean domain, that is a generic two-element set, whose elements are interpreted as logical values, for example, 0 = false and 1 = true, that is, a single bit of information.
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
