Using Truth Table, prove that C = (A + B鈥?鈥?= A鈥?. B?

Using Truth Table, prove that


C = (A + B鈥?鈥?= A鈥?. B


where A, B and C are binary logical variables. Show a diagram showing the output C from inputs A and B using 鈥?-input NOR鈥?gates only.|||..A..B...C


..0...0...0


..0...1...0.....C = A


..1...0...1


..1...1...1








..A..B...C


..0...0...1


..0...1...0.....C = B'


..1...0...1


..1...1...0








..A..B...C


..0...0...1


..0...1...0.....C = (A + B' )


..1...0...1


..1...1...1








..A..B...C


..0...0...0


..0...1...1.....C = (A + B' )'


..1...0...0


..1...1...0








..A..B...C


..0...0...1


..0...1...1.....C = A'


..1...0...0


..1...1...0











..A..B...C


..0...0...0


..0...1...1.....C = A'B


..1...0...0


..1...1...0