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Find the Fourier series as far as the third harmonic, to represent the periodic function y, given by the values in the following table.
x
0o
30 o
60 o
90 o
120 o
150 o
180 o
210 o
240 o
270 o
300 o
330 o
360o
y
-3.5
5.1
8.4
8.2
10.3
12.0
9.0
3.4
-6.2
-10.0
-16.5
-14.5
Use a spreadsheet to determine its parameters. Draw the graph of the waveform and explain your working out.
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1- Use 4-to-16 decoder and some residue gates to recognize the following functions F1(A,B,C)= S(1,2,4,5,7) F2(A,B,C,D)= S(1,2,4,5,7,10,12,14,15) F3(A,B,C,D,E)= S(1,2,4,5,7,10,12,1
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