Q2.1 Write the Boolean expression and construct the truth table describing the output of the following logic diagram a b C e 부모

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Q2.1 Write the Boolean expression and construct the truth table describing the output
of the following logic diagram
a
b
с
Do
y
e
In the truth table, only include entries where y = 1; you do NOT need to include entries
where y = 0.
Q2.2 Use algebraic manipulation to show that for three input variables x₁, x2, and
X3:
Em(1, 2, 3, 4, 5, 6, 7) = x₁ + x₂ + x3
Q2.3 Use K-maps to simplify the following Boolean function F, and then express the
simplified function in sum-of-minterms form:
F(A, B, C, D) = Σm(1, 2, 4, 6, 12) + Ed(0, 3, 5, 7, 11, 15)
Transcribed Image Text:Q2.1 Write the Boolean expression and construct the truth table describing the output of the following logic diagram a b с Do y e In the truth table, only include entries where y = 1; you do NOT need to include entries where y = 0. Q2.2 Use algebraic manipulation to show that for three input variables x₁, x2, and X3: Em(1, 2, 3, 4, 5, 6, 7) = x₁ + x₂ + x3 Q2.3 Use K-maps to simplify the following Boolean function F, and then express the simplified function in sum-of-minterms form: F(A, B, C, D) = Σm(1, 2, 4, 6, 12) + Ed(0, 3, 5, 7, 11, 15)
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