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I need to simplify these boolean expressions.

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`

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.

## Homework Statement

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`

## Homework Equations

abc means a AND b AND c

a+b means a OR b

a` means NOT a

## The Attempt at a Solution

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.

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