I am searching for the neutral elements of following Boolean expressions:
-NOT
-NAND
-NOR
The neutral element of NOR should be 0 (false) but the others? I think for NOT and NAND there are no neutral elements exisiting.
Thank your for your help!
The operation tables for NOR and NAND look like this:
$$\begin{array}{c||c|c} \mbox{NOR} &0&1 \\\hline 0&1&0\\ \hline 1&0&0 \end{array}$$
$$\begin{array}{c||c|c} \mbox{NAND} &0&1 \\\hline 0&1&1\\ \hline 1&1&0 \end{array}$$
From these tables, we see that neither NOR nor NAND has a neutral element. (The row and column of a neutral element would match the row and column headers of the whole table.)