Assuming ( 4 7 )₁ = (abcdefg)₂, consider the Boolean function F(A,B,C,D) given by the follow ruth table for all the questions: ( 47 )₁ = (abcdefg)₂ ABCD F 0000 X 0001 a 0010 b 0011 с 0100 d 0101 0110 0111 g 1000 1001 1010 1011 e f OD X X g f e PO d 1100 с 1101 1110 b 1111 a x: don't care a) Implement F(ABCD) using a 8x1 MUX and external gates choosing inputs A, B, C as the selection inputs of the MUX. b) Implement F(ABCD) using a 8x1 MUX and external gates choosing inputs B, C, D as the selection inputs of the MUX. c) Implement F(ABCD) using a 4x1 MUX and external gates choosing inputs B and C as the selection inputs of the MUX.

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Assuming (47)₁ = (abcdefg)₂, consider the Boolean function F(A,B,C,D) given by the following
truth table for all the questions:
( 47 )₁ = (abcdefg)₂
ABCD F
0000
X
0001
a
0010 b
0011
с
0100
d
0101
e
0110
f
0111
g
1000
X
1001 g
f
e
1010
1011
1100 d
1101 с
1110 b
1111
a
a) Implement F(ABCD) using a 8x1 MUX and external gates,
choosing inputs A, B, C as the selection inputs of the MUX.
b) Implement F(ABCD) using a 8x1 MUX and external gates,
choosing inputs B, C, D as the selection inputs of the MUX.
c) Implement F(ABCD) using a 4x1 MUX and external gates,
choosing inputs B and C as the selection inputs of the MUX.
x: don't care
Transcribed Image Text:Assuming (47)₁ = (abcdefg)₂, consider the Boolean function F(A,B,C,D) given by the following truth table for all the questions: ( 47 )₁ = (abcdefg)₂ ABCD F 0000 X 0001 a 0010 b 0011 с 0100 d 0101 e 0110 f 0111 g 1000 X 1001 g f e 1010 1011 1100 d 1101 с 1110 b 1111 a a) Implement F(ABCD) using a 8x1 MUX and external gates, choosing inputs A, B, C as the selection inputs of the MUX. b) Implement F(ABCD) using a 8x1 MUX and external gates, choosing inputs B, C, D as the selection inputs of the MUX. c) Implement F(ABCD) using a 4x1 MUX and external gates, choosing inputs B and C as the selection inputs of the MUX. x: don't care
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