=ABCD' + AB' + AC' + AD' + A'B'C'D'
=AD'(BC + 1) + AB' + AC' + A'B'C'D'; T8 <--- ABCD' + AD'
=AB' + AC' + AD'(1) + A'B'C'D'; T2' Null Element
=AB' + AC' + AD' + A'B'C'D'; T1 Identity
-----------------------------------------------------------
=AC' + AD' + B'(A + A'C'D'); T8
=AC' + AD' + B'(A + C'D'); T10
---------------------------------------------------
=AB' + AC' + AD' + B'C'D'; T8 <--- Everything at minterm?
-----------------------------------------------------------
I can un-distribute A, though these terms seem to be the most simplistic
Y = AB' + AC' + AD' + B'C'D'
if AB' is true, does it matter if the rest is true or false because its in an OR gate?
The truth table for this equation:
A B C D= Y
0 0 0 0 = 1
0 0 0 1 = 0
0 0 1 0 = 0
0 0 1 1 = 0
0 1 0 0 = 0
0 1 0 1 = 0
0 1 1 0 = 0
0 1 1 1 = 0
1 0 0 0 = 1
1 0 0 1 = 1
1 0 1 0 = 1
1 0 1 1 = 1
1 1 0 0 = 1
1 1 0 1 = 1
1 1 1 0 = 1
1 1 1 1 = 0
We can remove all the ones that equal zero
A B C D= Y
0 0 0 0 = 1
1 0 0 0 = 1
1 0 0 1 = 1
1 0 1 0 = 1
1 0 1 1 = 1
1 1 0 0 = 1
1 1 0 1 = 1
1 1 1 0 = 1
=AD'(BC + 1) + AB' + AC' + A'B'C'D'; T8 <--- ABCD' + AD'
=AB' + AC' + AD'(1) + A'B'C'D'; T2' Null Element
=AB' + AC' + AD' + A'B'C'D'; T1 Identity
-----------------------------------------------------------
=AC' + AD' + B'(A + A'C'D'); T8
=AC' + AD' + B'(A + C'D'); T10
---------------------------------------------------
=AB' + AC' + AD' + B'C'D'; T8 <--- Everything at minterm?
-----------------------------------------------------------
I can un-distribute A, though these terms seem to be the most simplistic
Y = AB' + AC' + AD' + B'C'D'
if AB' is true, does it matter if the rest is true or false because its in an OR gate?
The truth table for this equation:
A B C D= Y
0 0 0 0 = 1
0 0 0 1 = 0
0 0 1 0 = 0
0 0 1 1 = 0
0 1 0 0 = 0
0 1 0 1 = 0
0 1 1 0 = 0
0 1 1 1 = 0
1 0 0 0 = 1
1 0 0 1 = 1
1 0 1 0 = 1
1 0 1 1 = 1
1 1 0 0 = 1
1 1 0 1 = 1
1 1 1 0 = 1
1 1 1 1 = 0
We can remove all the ones that equal zero
A B C D= Y
0 0 0 0 = 1
1 0 0 0 = 1
1 0 0 1 = 1
1 0 1 0 = 1
1 0 1 1 = 1
1 1 0 0 = 1
1 1 0 1 = 1
1 1 1 0 = 1