Expressions with Logical Operators - what is it equivalent to?

Question

I have this logical operator expression:

!(!(a != b) && (b > 7))

How do you simplify it and find the equivalent?

https://en.wikipedia.org/wiki/De_Morgan%27s_laws – SLaks Nov 13 '16 at 17:04 — SLaks, Nov 13 '16 at 17:04
Break it down... `!(a != b)` should be easy, right? – OneCricketeer Nov 13 '16 at 17:05 — OneCricketeer, Nov 13 '16 at 17:05

pscuderi · Answer 1 · 2016-11-13T17:07:11.980

2

Use Demorgan's Laws.

!(!(a != b) && (b > 7))
!!(a != b) || !(b > 7)
a != b || b <= 7

edited Nov 13 '16 at 17:07

answered Nov 13 '16 at 17:06

pscuderi

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score 0 · Accepted Answer · answered Nov 13 '16 at 17:31

As mentioned by others: Demorgan's Laws

!(!(a != b) && (b > 7)) // x != y --> !(x == y) 
!(!!(a == b) && (b > 7)) // !!x --> x 
!((a == b) && (b > 7)) // !(x && y) --> !x || !y
!(a == b) || !(b > 7) // !(x == y) --> x != y;; !(x > y) --> x <= y
(a != b) || (b <= 7)

Expressions with Logical Operators - what is it equivalent to?

2 Answers2