Question

The diagram shows a logic network.

Which single gate is equivalent to the network?

• A. EX-NOR
• B. NOR
• C. EX-OR
• D. OR

Answer 1

Answer: (C)

$y=(\overline{A.B}).(\bar{A}.\bar{B})$
$=(\bar{A}+\bar{B}).(\overline{\stackrel{ˉ}{A}}+\overline{\stackrel{ˉ}{B}})$
$=(\bar{A}+\bar{B}).(A+B)$
$=\bar{A}.B+A.\bar{B}$
The network can be represented by a single EX-OR gate.