Question
A Boolean function with three variables is defined in the table below: x y z f(x,y,z) 0 0 0 1 0 0 1 1 0
A Boolean function with three variables is defined in the table below:
x | y | z | f(x,y,z) |
0 | 0 | 0 | 1 |
0 | 0 | 1 | 1 |
0 | 1 | 0 | 0 |
0 | 1 | 1 | 0 |
1 | 0 | 0 | 1 |
1 | 0 | 1 | 0 |
1 | 1 | 0 | 0 |
1 | 1 | 1 | 1 |
a)What is the minterm corresponding to the 2nd row in the table?
b)What is the minterm corresponding to the 3rd row in the table?
c)What is the minterm corresponding to the 7th row in the table?
d)Which is the Boolean expression that specifies the function in the table?
e)Create and fill in a new column for f (x, y, z)
f)Then find a DNF expression equivalent to f (x, y, z)
g)Apply the generalized versions of De Morgans law to convert f (x, y, z) to an equivalent CNF expression.
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