The Boolean expression for the truth table given below is: A B Y 0 0 1 0 1 1 1 0 1 1 1 0

Question

The Boolean expression for the truth table given below is: A B Y 0 0 1 0 1 1 1 0 1 1 1 0 (A)  Y= overlineA+ overlineB  (B)  Y= overlineA+B  (C)  Y= overlineA+B  (D)  Y= overlineA.B

Tardigrade Admin · Accepted Answer

The given truth table corresponds to NAND gate, whose Boolean expression is, Y= overline A ⋅ B Or Y= overline A + overline B (De Morgan's theorem)

Q. The Boolean expression for the truth table given below is:

A B Y

0 0 1

0 1 1

1 0 1

1 1 0

$Y = \overline{A} + \overline{B}$

$Y = \overline{A + B}$

$Y = \overline{A} + B$

$Y = \overline{A} . B$

The given truth table corresponds to NAND gate, whose Boolean expression
is, $Y = \overline{A \cdot B}$
Or $Y = \overline{A} + \overline{B}$
(De Morgan's theorem)

Q. The Boolean expression for the truth table given below is: A B Y 0 0 1 0 1 1 1 0 1 1 1 0

Y=A+B

Y=A+B​