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If A = 1 and B = 0, then in terms of Boolean algebra, A + B̅ =
- a)B
- b)B̅
- c)A
- d)A̅
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If A = 1 and B = 0, then in terms of Boolean algebra, A + B =a)Bb)Bc)A...
CONCEPT:
- The branch of algebra that deals with the values of the variables in the form of the truth values i.e., true and false are called Boolean algebra.
- True and false are usually denoted by 1 and 0 respectively.
Given that:
A = 1
B = 0
∴ B̅ = 1 (Since B̅ is reverse of B)
A + B̅ = 1 + 1 = 1 (Since A + A = A)
A + B̅ = 1 = A
A = 1
B = 0
∴ B̅ = 1 (Since B̅ is reverse of B)
A + B̅ = 1 + 1 = 1 (Since A + A = A)
A + B̅ = 1 = A
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Community Answer
If A = 1 and B = 0, then in terms of Boolean algebra, A + B =a)Bb)Bc)A...
Explanation:
Boolean Algebra Basics:
- In Boolean algebra, the variables can have only two possible values: 0 or 1.
- The basic operations in Boolean algebra are AND, OR, and NOT, denoted by symbols: &, +, and ' respectively.
A + B in Boolean Algebra:
- In Boolean algebra, the operation '+' represents the OR operation.
- A + B means A OR B, which is true if at least one of the variables A or B is true.
- Given A = 1 and B = 0, A + B will be true because A is true (1) even though B is false (0).
Substitute A and B:
- Substituting the given values, A = 1 and B = 0, into the expression A + B:
- 1 + 0 = 1 (since OR operation is true if at least one variable is true).
Final Answer:
- Therefore, in terms of Boolean algebra, A + B = A.
- Hence, the correct answer is option 'C', which is A.
Boolean Algebra Basics:
- In Boolean algebra, the variables can have only two possible values: 0 or 1.
- The basic operations in Boolean algebra are AND, OR, and NOT, denoted by symbols: &, +, and ' respectively.
A + B in Boolean Algebra:
- In Boolean algebra, the operation '+' represents the OR operation.
- A + B means A OR B, which is true if at least one of the variables A or B is true.
- Given A = 1 and B = 0, A + B will be true because A is true (1) even though B is false (0).
Substitute A and B:
- Substituting the given values, A = 1 and B = 0, into the expression A + B:
- 1 + 0 = 1 (since OR operation is true if at least one variable is true).
Final Answer:
- Therefore, in terms of Boolean algebra, A + B = A.
- Hence, the correct answer is option 'C', which is A.
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If A = 1 and B = 0, then in terms of Boolean algebra, A + B =a)Bb)Bc)Ad)ACorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If A = 1 and B = 0, then in terms of Boolean algebra, A + B =a)Bb)Bc)Ad)ACorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A = 1 and B = 0, then in terms of Boolean algebra, A + B =a)Bb)Bc)Ad)ACorrect answer is option 'C'. Can you explain this answer?.
If A = 1 and B = 0, then in terms of Boolean algebra, A + B =a)Bb)Bc)Ad)ACorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If A = 1 and B = 0, then in terms of Boolean algebra, A + B =a)Bb)Bc)Ad)ACorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A = 1 and B = 0, then in terms of Boolean algebra, A + B =a)Bb)Bc)Ad)ACorrect answer is option 'C'. Can you explain this answer?.
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