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What's the minimum number of NOR gate needed to build a 3-input XOR gate using only NOR gate?

Information I know:

https://en.wikipedia.org/wiki/NOR_logic

A XOR B = [ ( A NOR A ) NOR ( B NOR B ) ] NOR ( A NOR B )

A XOR B XOR C = ( A XOR B ) XOR C

Using the above formulas, I can implement 3-input XOR with 20 NOR gates.

What I don't know:

What's the minimum number of NOR gate? Is there a simpler way to implement 3-input XOR gate?

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    \$\begingroup\$ what is A NOR A? \$\endgroup\$
    – jsotola
    Jan 10, 2021 at 7:29
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    \$\begingroup\$ How have you tried to solve this and where are you stuck? This is not a free homework solving service. \$\endgroup\$
    – Justme
    Jan 10, 2021 at 10:50
  • \$\begingroup\$ @jsotola This is an inverter. \$\endgroup\$ Jan 10, 2021 at 17:54
  • \$\begingroup\$ Did you cite the wikipedia correctly? \$\endgroup\$ Jan 10, 2021 at 17:54

1 Answer 1

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A 3 bit XOR gate can be made using 10 NOR gates . enter image description here

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    \$\begingroup\$ Please don't hand out solutions to homework questions. Also, you need to provide a link or citation for the graphics you copied into your answer. \$\endgroup\$ Oct 16, 2022 at 10:47

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