503220-3 Digital Logic DesignHomework#1Spring 2022DUE: Sunday 27/2/20221. Consider a Boolean Algebra (1)a) Show thati. X.y + x'.z+ yz = x.y+x'.zii. (a + b)'(a' + b)' = 02. Given implement it with AND, OR and inverter gates. (2)3. Find the complement of the following expression: (1)4. Algebraically simply the following expressions: (2)F = abc + a'bc + a'b'c +abc' + a'b'c'b. F = y(wz'+ wz) + xya.

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1. Consider a Boolean Algebra (1) a) Show that i. X.y + x'.z + yz = x.y + x'.z (a + b)'(a' + b)' = 0 ii.

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Question

503220-3 Digital Logic Design
Homework
#1
Spring 2022
DUE: Sunday 27/2/2022
1. Consider a Boolean Algebra <B,+,.,0,1> (1)
a) Show that
i. X.y + x'.z+ yz = x.y+x'.z
ii. (a + b)'(a' + b)' = 0
2. Given implement it with AND, OR and inverter gates. (2)
3. Find the complement of the following expression: (1)
4. Algebraically simply the following expressions: (2)
F = abc + a'bc + a'b'c +abc' + a'b'c'
b. F = y(wz'+ wz) + xy
a.

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