1. Given the following function table with variables (x 2, x 1, x 0 ). Determine
ID: 3542902 • Letter: 1
Question
1. Given the following function table with variables (x2, x1, x0). Determine the representation in the following forms
(a.) canonical sum of products (CSP)
(b.) canonical product of sum (CPS)
Index (i)
x2x1x0
Function F
0
000
0
1
001
1
2
010
1
3
011
0
4
100
0
5
101
0
6
110
1
7
111
0
thanks and please explain or show work...
Index (i)
x2x1x0
Function F
0
000
0
1
001
1
2
010
1
3
011
0
4
100
0
5
101
0
6
110
1
7
111
0
Explanation / Answer
A)
F= m1+m2+m6 (sum of minterm)
F=(x2').(x1').(x0) + (x2').(x1).(x0') + (x2).(x1).(x0') (sum of products)
where x0',x1',x2' represents complement of x0,x1,x2
B)
F= M0.M3.M4.M5.M7 (product of maxterms)
F=(x2+x1+x0).(x2+x1'+x0').(x2'+x1+x0).(x2'+x1+x0').(x2'+x1'+x0') (product of sum)
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