Question

Computer architecture

Having the next Boolean functions: F1(x,y,z)-П (1, 3, 5) . F2(x,y,z)-Σ (0, 2, 4, 5) . 1. Make one logic gate design circuit,

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Answer #1

F1 (x, y, z) = media%2F075%2F075e61cb-fad9-4cb2-ac87-cf ​ M (1, 3, 5)   

M1 = 001 = x+y+z'

M3 = 011 = x+y'+z'

M5 = 101 = x'+y+z'

The Function for F1 = (x+y+z')(x+y'+z')(x'+y+z')

     

F2 (x, y, z) = media%2F252%2F25276286-d0e2-4dff-9a92-da ​ m (0, 2, 4, 5)

m0 = 000 = x'y'z'

m2 = 010 = x'yz'

m4 = 100 = xy'z'

m5 = 101 = xy'z

The Function for F2 = x'y'z'+x'yz'+xy'z'+xy'z

1)

0 AND Fi AllD AND

2)

12 3 F2(x, y, z) = m (0, 2, 4, 5) 4x1 MuX 5

12 3 F1 (x, y, z) = 1 1 M (1, 3, 5) 4x1 5

3)

F1(x, y, z):ПМ(1, 3, 5) io i1 i2 F1 (x, y, z)-11M(1, 3, 5) i4 3X8 15 Decoder i6 i7

F2 (x, y, z)-m (0, 2, 4, 5) io i1 i2 F2(x, y, z) = m (0, 2, 4, 5) i3 i4 i5 3X8 Decoder i6 i7

5)

AND 2L92 PLA 3x 5X2 PLA

      

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Answer #2

f2 E0.1.2.3.5.7


answered by: f2 = ~0, 1, 2, 3, 7
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