Question

The output (Y) of the given logic implementation is similar to the output of an/a ______ gate.

Options

• AND

• NAND

• OR

• NOR

Answer 1

The output (Y) of the given logic implementation is similar to the output of an/a NOR gate.

Explanation:

Y = `(bar(A + B)). (bar(A.B))`

= `(barA.barB).(barA + barB)`   ...(Using De Morgan's theorem)

= `barA.(barA . barB) + barB.(barA . barB)`

= `barA . barB + barA . barB`

= `barA . barB    ...(barA . barA = barA and barB . barB = barB)`

= `bar(A + B)`    ...(NOR gate)