1. The incompletely specified logic function f(a, b, c, d) is given below: f(a, b, c, d) = U₁(0, 1, 2, 3, 4, 6, 13) + U (5, 8, 10, 14) a) Find the set of all prime implicants of f(a, b, c, d) in SOP form using a Karnaugh map. b) Find the set of all prime implicants of f(a, b, c, d) in SOP form using the Quine- McCluskey method.

Computer Networking: A Top-Down Approach (7th Edition)
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1. The incompletely specified logic function f(a, b, c, d) is given below:
f(a, b, c, d) = U₁ (0, 1, 2, 3, 4, 6, 13) + Up (5, 8, 10, 14)
a) Find the set of all prime implicants of f(a, b, c, d) in SOP form using a Karnaugh
map.
b) Find the set of all prime implicants of f(a, b, c, d) in SOP form using the Quine-
McCluskey method.
2. Using the cost criteria below, construct the prime implicant chart for the prime implicants
of f(a, b, c, d) in SOP form that you found above in Question (1). Then, simplify it to
obtain the minimal covering sum with the lowest cost. Demonstrate and explain each step
of the simplification. Provide the total cost and the expression for the function with the
lowest cost.
Cost criteria: 2 units for each variable and 1 unit for each complement sign.
Transcribed Image Text:1. The incompletely specified logic function f(a, b, c, d) is given below: f(a, b, c, d) = U₁ (0, 1, 2, 3, 4, 6, 13) + Up (5, 8, 10, 14) a) Find the set of all prime implicants of f(a, b, c, d) in SOP form using a Karnaugh map. b) Find the set of all prime implicants of f(a, b, c, d) in SOP form using the Quine- McCluskey method. 2. Using the cost criteria below, construct the prime implicant chart for the prime implicants of f(a, b, c, d) in SOP form that you found above in Question (1). Then, simplify it to obtain the minimal covering sum with the lowest cost. Demonstrate and explain each step of the simplification. Provide the total cost and the expression for the function with the lowest cost. Cost criteria: 2 units for each variable and 1 unit for each complement sign.
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