Find all prime implicants of the following function and then find all minimum solutions using Petrick's method: F(A, B, C, D) = { m(9, 12, 13, 15) + Σ d(1, 4, 5, 7, 8, 11, 14)

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Find all prime implicants of the following function and then find all minimum
solutions using Petrick's method:
F(A, B, C, D) = Σ m(9, 12, 13, 15) + Σ d(1, 4, 5, 7, 8, 11, 14)
Transcribed Image Text:Find all prime implicants of the following function and then find all minimum solutions using Petrick's method: F(A, B, C, D) = Σ m(9, 12, 13, 15) + Σ d(1, 4, 5, 7, 8, 11, 14)
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how to use pertrick's method?

To find
Petrick's fable,
From
P₁ (1,5,9,13)
P₂
P3
Pu
Ps
minimum
P
minimum
minimum
(1,5,12,13)
Solution using petrick's method forming
(5,7,13,15)
(8,9,12,13)
(9,11,13,15)
(12, 13, 14, 15)
F5
FG
which
C'D
Bet
BD
Ac X
AD
= P4 +PG
197
X
AB
Yow!
Solutions are,
F₁ = P₁ + P = c'D+AB
F2₂ = ₁₂ + 5 =Bc' + AD
F3 = P3 + P4
f4 =
хх
BD+Ac
P+Ps = Ac+AD
=
ActAB
P5+ = AD+ AB
19 13
X
above table, au posible choices by taking
X
X
XX
Х Х Х Х
15
X
X
Covers at the minterms. Then all
XX
XX
Transcribed Image Text:To find Petrick's fable, From P₁ (1,5,9,13) P₂ P3 Pu Ps minimum P minimum minimum (1,5,12,13) Solution using petrick's method forming (5,7,13,15) (8,9,12,13) (9,11,13,15) (12, 13, 14, 15) F5 FG which C'D Bet BD Ac X AD = P4 +PG 197 X AB Yow! Solutions are, F₁ = P₁ + P = c'D+AB F2₂ = ₁₂ + 5 =Bc' + AD F3 = P3 + P4 f4 = хх BD+Ac P+Ps = Ac+AD = ActAB P5+ = AD+ AB 19 13 X above table, au posible choices by taking X X XX Х Х Х Х 15 X X Covers at the minterms. Then all XX XX
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