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Assignment 3
Question 3-2
Simplify the following Boolean functions, using three-variable map:
a) F(x,y,z) = ?(0,1,5,7)
b) F(x,y,z) = ?(0,2,3,6,7)
c) F(x,y,z) = ?(0,1,6,7)
d) F(x,y,z) = ?(0,1,3,4,5)
e) F(x,y,z) = ?(1,3,5,7)
f) F(x,y,z) = ?(1,4,5,6,7)
Question 3-3
Simplify the following Boolean functions, using three-variable map:
a) F(x,y,z) = xy + x'y'z' + x'yz'
b) F(x,y,z) = x'y' + yz + x'yz'
c) F(x,y,z) = xy + yz' + y'z'
d) F(x,y,z) = xyz + x'y'z + xy'z'
Question 3-4
Simplify the following Boolean functions, using Karnaugh map:
a) F(x,y,z) = ?(2,3,6,7)
b) F(A,B,C,D) = ?(4,6,7,15)
c) F(A,B,C,D) = ?(3,7,11,13,14,15)
d) F(w,x,y,z) = ?(2,3,12,13,14,15)
e) F(w,x,y,z) = ?(1,4,5,6,7,13)
f) F(w,x,y,z) = ?(0,1,5,8,9)
Question 3-7
Simplify the following Boolean expressions, using four variables map:
a) w'z + xz + x'y + wx'z
b) C'D + A'B'C + ABC' + AB'C
c) AB'C + B'C'D' + BCD + ACD' + A'B'C + A'BC'D
d) xyz + wy + wxy' + x'y