Question
Simplify the following functions using Boolean algebra:
Y_1=ABC + AB'C'+AB'C.
Y_2=A'BC' + AB'C + AB'C'.
Y_1=ABC + AB'C'+AB'C.
Y_2=A'BC' + AB'C + AB'C'.
Answers
GPT 3.5
For Y_1:
ABC + AB'C' + AB'C
= AB(C + C') + AB'C
= AB + AB'C
= AB(1 + C)
= AB
For Y_2:
A'BC' + AB'C + AB'C'
= AB'C' + AB'C + A'BC'
= AB'C'(1 + C) + A'BC'
= AB'C' + A'BC'
= BC'(A' + A)
= BC'
ABC + AB'C' + AB'C
= AB(C + C') + AB'C
= AB + AB'C
= AB(1 + C)
= AB
For Y_2:
A'BC' + AB'C + AB'C'
= AB'C' + AB'C + A'BC'
= AB'C'(1 + C) + A'BC'
= AB'C' + A'BC'
= BC'(A' + A)
= BC'
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