Computer Science
Assertion (A): If A+B=1 then its dual will be A.B=0.
Reasoning (R): In dual, 1 changes to 0 and 0 changes to 1. Similarly, (+) changes to (.) and (.) to (+).
- Both A and R are true and R is the correct explanation of A.
- Both A and R are true but R is not the correct explanation of A.
- A is true but R is false.
- A is false but R is true.
Boolean Algebra
1 Like
Answer
Both A and R are true and R is the correct explanation of A.
Explanation
The dual of the Boolean expression A+B=1 is A⋅B=0. This is derived by applying the duality principle, which states that the dual of any boolean expression is obtained by interchanging the operations (+) and (.), and swapping the constants 1 and 0.
Answered By
1 Like
Related Questions
Assertion (A): The base/radix of binary number system is 2.
Reasoning (R): Binary number system has only two digits, i.e., 1 and 0.
- Both A and R are true and R is the correct explanation of A.
- Both A and R are true but R is not the correct explanation of A.
- A is true but R is false.
- A is false but R is true.
Assertion (A): The base/radix of Octal number system is 8 because it has 8 digits.
Reasoning (R): 342289 is an octal number.
- Both A and R are true and R is the correct explanation of A.
- Both A and R are true but R is not the correct explanation of A.
- A is true but R is false.
- A is false but R is true.
Assertion (A): Unicode is used for multilingual encoding.
Reasoning (R): Unicode provides a unique number for all the characters of every written language of the world.
- Both A and R are true and R is the correct explanation of A.
- Both A and R are true but R is not the correct explanation of A.
- A is true but R is false.
- A is false but R is true.
Assertion (A): The number of symbols (digit and alphabet) used in a number system is called its radix/base.
Reasoning (R): Base value of a number system is used to distinguish a number in one number system from another number system.
- Both A and R are true and R is the correct explanation of A.
- Both A and R are true but R is not the correct explanation of A.
- A is true but R is false.
- A is false but R is true.