I need to simplify these boolean expressions.
1. The problem statement, all variables and given/known data
Problem A:
a`b`d+a`bd`+bc`d`+bcd`+ab`c`d+b`cd
Problem B:
a`b`cd+a`bd+abcd+a`b`d+acd+abd+ab`c`d
Problem C:
a`b`c`d`+a`b`cd`+a`bd+ab`c`d`+bd+ab`d`
2. Relevant equations
abc means a AND b AND c
a+b means a OR b
a` means NOT a
I have been working on these for over 6 hours and I still have a mess. I look at the rules and try to apply them, but I know my answers are incorrect.