Question

8) Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in sum-of-minterms form: F (A, B, C, D) = 2(4, 12, 7, 2, 10,) d(A, B, C, D) = 2(3, 9, 11, 15) d(A, B, C, D) = 2(0, 6, 8)

Answer 1

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Solution :

Solution FLA, B, C, D)=E( 4, 12, 7, 2, 10) dLA, B, C, D) = E(3, 9, 11, 15) CD AR CD 0,o/ is ارم) 101 AB (1,12 X (0,41 AB Con 4 AB ale 1 6. Ho X Х 43 . X axtda AB (102 8 3 Quad mzt matmist mit + ABCD. TABLD TABLO = ABCD fair 1- ma t miz TABCD ABCD ) = BED ).

lair 2: m₂ tm,.o. ĀBC TABLE B C D F(A, B, C, D) CD + BED & B C D Now, F(A,BC,D) = 31 4,12,.7.,2,10) ILA, B, C, D) Ě (0, 6, 8) AB ED 떠 ( 6,12 (1,12 [Col Fle اما 1 AB (6,of -AB Coa -AB (1;/ X 4 . + G 7) (2 13 14 AB + 48 (1,01 al 10 ch Quad 1 : + mat mizt mg # A B C D + ABCÃ + ABCD mo +ABCD ze

Quad 2 + mo + m2 + mg mio. 2 A B C D +ABLŔ + ABCD + ABCD § Pair m 6 +mz + ABCD Ź Abc = ABC * FLA, B, C, D) = čo + B D +Ā B C