(no+23), = (abcdefg), ABCD F 0000 X 0001 a 0010 b 0011 с 0100 0101 0110 0111 1000 1001 g 1010 f 1011 e 1100 d 1101 с 1110 b 1111 a x: don't care PO d 04 e f OD X

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Assuming (47) based 10 = (abcdefg) based 2, consider the Boolean function F(A, B, C, D) given by the following truth table for all the questions:

a) Implement F (ABCD) using 3x8 Decoders with ‘Active High’ output and Enable inputs and external gates,
b) Implement F (ABCD) using 3x8 Decoders with ‘Active Low’output and Enable inputs and external gates,
c) Is it possible to implement F(  ABCD ) with decoders using logic gates with smaller number of inputs than given in part a) or part b)? 

(no+23)₁ = (abcdefg),
ABCD
F
0000
X
0001
a
0010
b
0011
с
0100
d
0101
e
0110
f
0111
g
1000
X
1001
g
f
1010
1011
1100
1101
1110
1111
a
x: don't care
CD
OD 40
e
d
с
b
Transcribed Image Text:(no+23)₁ = (abcdefg), ABCD F 0000 X 0001 a 0010 b 0011 с 0100 d 0101 e 0110 f 0111 g 1000 X 1001 g f 1010 1011 1100 1101 1110 1111 a x: don't care CD OD 40 e d с b
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