Question

Is this simplification according to the distributive equivalence law correct? If not, could you please correct...

Is this simplification according to the distributive equivalence law correct? If not, could you please correct it? ~ = not, ^ = and, v = or. Thank you!

(~a ^ ~b ^ c ^ d) v (~a ^ b ^ c ^ d)

= (~a ^ c ^ d) ^ (~b v b)

= (~a ^ c ^ d) ^ T

= (~a ^ c ^ d)

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Answer #1

(~a ^ ~b ^ c ^ d) v (~a ^ b ^ c ^ d)
= (~a ^ c ^ d) ^ (~b v b)   ->  distributive equivalence law
= (~a ^ c ^ d) ^ T
= (~a ^ c ^ d)

This is correct.
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