in the subject of boolean algebra, could some one please explain to me what the terms "normal" and "canonical" mean in relation to an equation.
Canonical means that all terms have every single variable in them. While normal has only the needed variables.
normal (ab+bc+a'c)
ab+bc+a'c
canonical (ab+bc+a'c)
ab(c+c') + bc(a+a') + a'c(b+b')
abc + abc' + bca + bca' + a'cb + a'cb'
abc + abc' + a'bc + a'b'c
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Canonical means that all terms have every single variable in them. While normal has only the needed variables.
normal (ab+bc+a'c)
ab+bc+a'c
canonical (ab+bc+a'c)
ab(c+c') + bc(a+a') + a'c(b+b')
abc + abc' + bca + bca' + a'cb + a'cb'
abc + abc' + a'bc + a'b'c