COMPUTER SCIENCE AND ENGINEERING
DIGITAL LOGIC
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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NAND
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NOR
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AND
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OR
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Detailed explanation-1: -The Boolean expression Y = (AB)’ is logically equivalent to what single gate? Explanation: If A and B are the input for AND gate the output is obtained as AB and after inversion we get (AB)’, which is the expression of NAND gate.
Detailed explanation-2: -The Boolean expression Y = (AB)’ is logically equivalent to NAND gate.
Detailed explanation-3: -The Boolean expression given for a NAND gate is that of logical addition and it is opposite to AND gate. The Boolean expression is given by a single dot (.) with an overline over the expression to show the NOT or the logical negation of the NAND gate.
Detailed explanation-4: -Here, A+AB=A(1+B)=A since in Boolean algebra, 1+B=1.
Detailed explanation-5: -In Boolean algebra A. B=Y implies that Y exists when both A and B exist but not when only A or B exists.