Q1 (25 points)/Synthesize the following expressions into a logic network (This is an XOR operation):
a) F = a'.(b+c') + (a.b.c)'
b) F = (a'.b)'.1
c) F = (a' ⊕ b)' ⊕ c'
Q2 (25 points)/Analyze the following logic network into a logic expression (note that you have two outputs, meaning two expressions)
Q3 (25 points)/Use algebraic manipulation to show that for three input variables x1, x2, x3:
m(1, 2, 3, 4, 5, 6, 7) = x1 + x2 + x3
Q4 (25 points)/Consider the function f(x1, x2, x3) = ̅̅̅m(1,3,4,6,7)
1- Write the sum-of-products equation of the function f
2- Synthesize it into a logic network
3- Synthesize it into a logic network using only NAND gates.