GATE | GATE CS 2021 | Set 2 | Question 62
Consider a Boolean function f(w,x,y,z) such that
f(w,0,0,z) = 1 f(1,x,1,z) = x+z f(w,1,y,z) = wz+y
The number of literals in the minimal sum-of-products expression of f is _________ .
Explanation: f(w,0,0,z) = 1
When x = 0, and y = 0, the min-term will be 1 irrespective of w and z.
f(1,x,1,z) = x+z
When w = 1 and y = 1, the min-term will be x or’d with z.
Similarly for the last one.
f(w, x, y, z) = sigma(0,1,6,7,8,9,11,13,14,15) + don’t(2,3)
f(w, x, y, z) = x’y’ + wz + xy
Thus, the number of literals will be 6.
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