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Match the following identities/laws to their corresponding name:
- a)A - 3, B - 4, C - 1, D - 2
- b)A - 4, B - 3, C - 1, D - 2
- c)A - 4, B - 3, C - 2, D - 1
- d)A - 3, B - 4, C - 2, D - 1
Correct answer is option 'A'. Can you explain this answer?
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Match the following identities/laws to their corresponding name:a)A - ...
Idempotent laws:
Boolean logic has idempotence within both AND and OR gates. A logical AND gate with two inputs A will also have an output of A. (1 AND 1 = 1, 0 AND 0 = 0). An OR gate has idempotence because 0 OR 0 = 0, and 1 OR 1 = 1.
Hence, x + x = x and x.x = x
Identity laws:
The first Boolean identity is that the sum of anything and zero is the same as the original “anything.” This identity is no different from its real-number algebraic equivalent: No matter what the value of A, the output will always be the same: when A=1, the output will also be 1; when A=0, the output will also be 0.
Hence, x + 0 = x and x.1 = 0
Dominance laws:
The complement is used in the operations to form these laws. The idea behind these laws is that if the first number is 1 then the negation of 1 is 0. In equation 1, the numbers are opposite therefore in any order: 0 OR 1 is equal to 1.
Hence, x + 1 = 1 and x.0 = 0.
Absorption law:
This law enables a reduction in a complicated expression to a simpler one by absorbing like terms.
A + (A.B) = (A.1) + (A.B) = A(1 + B) = A (OR Absorption Law)
A(A + B) = (A + 0).(A + B) = A + (0.B) = A (AND Absorption Law)
Hence, x.(x+y) = x
Hence the correct answer is A - 3, B - 4, C - 1, D - 2.
Boolean logic has idempotence within both AND and OR gates. A logical AND gate with two inputs A will also have an output of A. (1 AND 1 = 1, 0 AND 0 = 0). An OR gate has idempotence because 0 OR 0 = 0, and 1 OR 1 = 1.
Hence, x + x = x and x.x = x
Identity laws:
The first Boolean identity is that the sum of anything and zero is the same as the original “anything.” This identity is no different from its real-number algebraic equivalent: No matter what the value of A, the output will always be the same: when A=1, the output will also be 1; when A=0, the output will also be 0.
Hence, x + 0 = x and x.1 = 0
Dominance laws:
The complement is used in the operations to form these laws. The idea behind these laws is that if the first number is 1 then the negation of 1 is 0. In equation 1, the numbers are opposite therefore in any order: 0 OR 1 is equal to 1.
Hence, x + 1 = 1 and x.0 = 0.
Absorption law:
This law enables a reduction in a complicated expression to a simpler one by absorbing like terms.
A + (A.B) = (A.1) + (A.B) = A(1 + B) = A (OR Absorption Law)
A(A + B) = (A + 0).(A + B) = A + (0.B) = A (AND Absorption Law)
Hence, x.(x+y) = x
Hence the correct answer is A - 3, B - 4, C - 1, D - 2.
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Match the following identities/laws to their corresponding name:a)A - 3, B - 4, C - 1, D - 2b)A - 4, B - 3, C - 1, D - 2c)A - 4, B - 3, C - 2, D - 1d)A - 3, B - 4, C - 2, D - 1Correct answer is option 'A'. Can you explain this answer?
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Match the following identities/laws to their corresponding name:a)A - 3, B - 4, C - 1, D - 2b)A - 4, B - 3, C - 1, D - 2c)A - 4, B - 3, C - 2, D - 1d)A - 3, B - 4, C - 2, D - 1Correct answer is option 'A'. Can you explain this answer? for Humanities/Arts 2025 is part of Humanities/Arts preparation. The Question and answers have been prepared according to the Humanities/Arts exam syllabus. Information about Match the following identities/laws to their corresponding name:a)A - 3, B - 4, C - 1, D - 2b)A - 4, B - 3, C - 1, D - 2c)A - 4, B - 3, C - 2, D - 1d)A - 3, B - 4, C - 2, D - 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Humanities/Arts 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Match the following identities/laws to their corresponding name:a)A - 3, B - 4, C - 1, D - 2b)A - 4, B - 3, C - 1, D - 2c)A - 4, B - 3, C - 2, D - 1d)A - 3, B - 4, C - 2, D - 1Correct answer is option 'A'. Can you explain this answer?.
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