
A Boolean function may be transformed into
A) logical diagram
B) logical graph
C) map
D) matrix
Answer
584.4k+ views
Hint: Get to know what a boolean function means. Check all the options and their respective definitions that suit the definition of Boolean function the most. You can also try taking examples of the Boolean function and of the given option to eliminate the options using the elimination method.
Complete step by step answer:
Let us see what exactly a Boolean function mean:
In mathematics and logic, a Boolean function is a function whose arguments, as well as the function itself, assume values from a two-element set (usually {0,1}). As a result, it is sometimes referred to as a "switching function".
In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0, respectively. Instead of elementary algebra, where the values of the variables are numbers and the prime operations are addition and multiplication, the main operations of Boolean algebra are the conjunction (and) denoted as ∧, the disjunction (or) denoted as ∨, and the negation (not) denoted as ¬. It is thus a formalism for describing logical operations, in the same way, that elementary algebra describes numerical operations.
Let us now see what a logical diagram means :
A logical diagram is nothing but a diagram by which you can get to explain what a certain Boolean function is.
for example, if you take A union B is a Boolean function, then the Venn diagram which can be used to transform this Boolean function is called a logical diagram.
So by the above statement, you can clearly say that the Boolean function may be transformed into a logical diagram.
So the correct option is A.
Note:
If you are attempting a conceptual question with given options, then go through options straight after reading the question because it will help you a lot for saving time. If you think that a particular option is correct do not write the answer as that option without going through other options because there can be another answer for the same question which is more suitable that the answer you are thinking.
Complete step by step answer:
Let us see what exactly a Boolean function mean:
In mathematics and logic, a Boolean function is a function whose arguments, as well as the function itself, assume values from a two-element set (usually {0,1}). As a result, it is sometimes referred to as a "switching function".
In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0, respectively. Instead of elementary algebra, where the values of the variables are numbers and the prime operations are addition and multiplication, the main operations of Boolean algebra are the conjunction (and) denoted as ∧, the disjunction (or) denoted as ∨, and the negation (not) denoted as ¬. It is thus a formalism for describing logical operations, in the same way, that elementary algebra describes numerical operations.
Let us now see what a logical diagram means :
A logical diagram is nothing but a diagram by which you can get to explain what a certain Boolean function is.
for example, if you take A union B is a Boolean function, then the Venn diagram which can be used to transform this Boolean function is called a logical diagram.
So by the above statement, you can clearly say that the Boolean function may be transformed into a logical diagram.
So the correct option is A.
Note:
If you are attempting a conceptual question with given options, then go through options straight after reading the question because it will help you a lot for saving time. If you think that a particular option is correct do not write the answer as that option without going through other options because there can be another answer for the same question which is more suitable that the answer you are thinking.
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