How many gates are required to design; y=A+ barA, B ? Also name the gates.

Question

How many gates are required to design; y=A+ barA, B ? Also name the gates. (A) 1, OR gate (B) 2, AND and OR gate (C) 3, AND, NOT and OR gate (D) 4, two NOT gates and two AND gates

Tardigrade Admin · Accepted Answer

y=A+ barA ⋅ B =A(1+B)+ barA ⋅ B [∵ 1+B=1] =A+(A+ barA) B=A+1 ⋅ B=A+B which is for OR gate It means, 1, OR gate is required for the above design.

Q. How many gates are required to design; $y = A + \overset{ˉ}{A}, B ?$ Also name the gates.

$1,$ OR gate

2, AND and OR gate

3, AND, NOT and OR gate

$4,$ two NOT gates and two AND gates

$y = A + \overset{ˉ}{A} \cdot B = A (1 + B) + \overset{ˉ}{A} \cdot B [∵ 1 + B = 1]$
$= A + (A + \overset{ˉ}{A}) B = A + 1 \cdot B = A + B$
which is for OR gate
It means, $1,$ OR gate is required for the above design.

Q. How many gates are required to design; y=A+Aˉ,B? Also name the gates.

1, OR gate