ONLY DO PROBLEM 4 and 5!!!!!!!!!!!!

Problem 3. (25 points)

Given: F(a, b, c) = abc + b.

(a) Express F as a minterm expansion. (Use m-notation.)

Problem 4. (25 points)

Work Problem 3 using:

F(a,b,c,d) = (a + b + d)(a + c)(a + b + c)(a + b + c + d)

Problem 5. (20 points) For given truth table:

a) Find the simplest expression for F2 and specify the values for the dont care lead to this expression.

b) Repeat for F3.

F = abc' + ab'c + d'b'c + ab'c' + a'b'd 110, 101, 001, 100, 000 F(a,b,c) = m(0,1,4,5,6) A B C o Oto 0 1 0 F 1 1 0 -- F2 F FA 1 0 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1 1 X 1 X