Am I glad I found this forum or what!! I've spent about a week trying to figure out how to simplify the below equation & I keep coming up blank:

A v ~[(~B ^ ~C) v (~B ^ ~D)] v (~A ^ D)

my symbols may not make sense so here's a key for you:

v = OR, ^ = AND, ~ = NOT

Please can someone explain to me in english a nice easy way to break this down into something a bit more simplified.

Here are some examples of other ones that i have managed to simplify & if anyone can suggest ways for me to further improve on them then be my guest

~[~A v ~(B ^ C)] v (~C ^ B) simplified = (A ^ B ^ C) v (~C ^ B)

A v [B ^ (A v B)] v [A ^ (~A v B)] simplified = A v B