For the function shown a minimal product of sums is WX yz 00 01 11 10...
Shown within the work of the question below, what does the
F' from filling in the empty cells of a K-map with
0's give you? And what does the F' from taking the
complement using boolean algebra give you? Why are these "
F' "s not the same?
1. (a)Simplify the following two functions, which are given in terms of Karnaugh maps, in SOP (Sum of Products) form: y4 wx 00 01 11| 10 yz wx 00 | 01 11...
Given the function : F = x + ( (yz)’(x’ + y’+ z’) )’ A) Write the truth table of F. B) Draw the K-map for F. C) Using the K-map, write the fully simplified Sum-Of-Products expression for F. D) Write the fully simplified product-of-sums expression for F
#3. (30 points) Given the following K- map for f(w, x, y. 2). Find an MPOS for f yz 01 10 0 0 11 wx 00 0
Find a minimal sum-of-products and product-of-sums expression for the function: f(A, B, C, D) = sigma m(1, 2, 3,5,13) + d (6,7,8,9,11)
AB 00 01 11 10 CD 00 0 0 4 1 12 1 8 1 01 1 1 5 1 13 1 9 1 11 3 1 7 0 15 0 11 0 10 2 0 6 0 14 0 10 1 Simplify F(A, B, C, D) using the zeros of the k-map to get F`, then use De Morgan’s formula to get F in product of sums and select the one that matches it from the following; a-...
Using the K-Map method, find the optimized "product of sums" expression for the following function: F(W, X, Y, Z) = II (0, 1, 4, 5, 7, 9, 12, 13, 14, 15)
Q3: 1. For the Boolean function shown below, answer the questions F(W,X,Y,Z) = 11 (6,8,9,10,11,12,13) use K-MAP to: • Derive the BF as SOP. • Derive the BF as POS. • Find All prime implicants of the BF. • Determine the Essential prime implicant(s). 2. Let the BF change to have don't care condition as: F(W,X,Y,Z) = 1,3,7,11,15 + de E(0.2,5) Derive the BF as SOP and POS.
What is the simplified function of the following Karnaugh Map? AB CD 00 01 11 10 00 01 1 1 11 1 1 10 1 1 AC'+BD' O ABC+AD AD+A'C A'(C+D)
Using K-maps, obtain the simplified product-of-sums and
sum-of-products expressions for the following Boolean
functions:
a).
b).
F(x, y,2)-(3,5,6,7) d(0, 1,2) F(w,x, y, z) (0,1,2,3,7,8, 10)+ d(5,6,11, 15)
Example Minimize the following Boolean functions ВС 00 A 01 11 10 00 1 1 0 1 0 1 1 1 ВС 00 01 11 10 A 10 1 0 1 0 1 0 0 1 ВС 00 01 11 10 A 1 1 1 1 0 0 1 0 1 1 Example Minimize the following Boolean function АВС f 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1...