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The function Z below is to be implemented using an integrated circuit that conta

ID: 3868548 • Letter: T

Question

The function Z below is to be implemented using an integrated circuit that contains only NOR gates. Use DeMorgan's laws to convert it to a form using only NOR gates (and inverters). Which function a), b), c), or d) is the correct result? Z = (A + B bar + C bar) middot (A bar + B + C bar) middot (A bar + B bar + C bar) a) Z = (A bar + B + C) bar + (A + B bar + C) bar + (A + B + C) bar bar b) Z = (A + B bar + C bar) bar + (A bar + B + C bar) bar + (A bar + B bar + C bar) bar bar c) Z = (A B bar C bar) bar middot (A bar B C bar) bar middot (A bar B bar C bar) bar bar d) Z = (A bar BC) bar middot (A B bar C) bar middot (ABC) bar a) b) c) d)

Explanation / Answer

The given function Z is implemented using an integrated circuit that contains only NOR gates using DeMorgan's laws to convert it to a form using only NOR gates and inverters is:

Answer: b) Z= [(A+B'+C')' + (A'+B+C')' + (A'+B'+C')']'

The DeMorgan's law is (X+Y)' = X'. Y' or (XY)' = X' + Y')

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