1.(20 Pts) Factor to obtain a product of sums. Simplify where possible. F(WXYZ) W'Y'Z' + WXZ'...
just simplyfy n expand 1.(20 Pts) Factor to obtain a product of sums. Simplify where possible. F(WXYZ)- W'Y'Z' +WXZ + W'YZ+X'Z 0 0
(1) [POS] Factor to obtain a product of sums. (Simplify where possible) A'C'D' + ABD' + A'CD+B'D [SOP] Factor to obtain a sum of product. (Simplify where possible) (K'+M'+N)(K'+M)(L+M+N')(K'+L+M)(M+N)
Factor the expression A’B’ + (CD’ + E) to obtain a product of sums Given: F(a, b, c, d) = (a + b + d)(a’ + c)(a’ + b’ + c’)(a + b + c’ + d’) Express F as a minterm expansion (Use m-notation): F = ∑ Express F as a maxterm expansion (Use M-notation): F = ∏ Express F’ as a minterm expansion (Use m-notation): F’ = ∑ Express F’ as a maxterm expansion (Use M-notation): F’ =...
1. Simplify the Boolean function (F(A, B, C, D) = ∏(3,4,6,7,11,12,13.14.15) a) Generate K-Map of F b) Obtain simplified sum-of-products form of F c) Obtain simplified product-of-sums form of F Note: you should show the final prime implicants you used
Please simplify the following Product of Sums using Boolean algebra and Karnaugh Maps, where *, +, ' are AND, OR, NOT respectively. Please solve explicitly, making each simplification clear in every step. (Answer should be equivalent in both methods) QM(A,B,C,D) = (A'+B'+C'+D')*(A'+B'+C+D')*(A'+B+C'+D')*(A'+B+C'+D)*(A'+B+C+D')*(A'+B+C+D)*(A+B'+C'+D')
1. (10 point 1 effort points) Simplify the Boolean function F(A, B,C, D) - 11 (3,4,6,7,1 1,12,13,14,15). a) Generate K-Map of F b) Obtain simplified sum-of-products form of F c) Obtain simplified product-of-sums form of F Note:you should show the final prime implicants you used
19. f(x)=4x3- 15x2 18x+ 20 3 (a) Find f'(x) Simplify and factor completely. )12x- 3ox-18 Find f(x) (b) Simplify and factor completely. ( 1.F Intevas are 242-30 (c) Find the intervals where the function is increasing and where it is decreasing. Use interval notation. : 24y-30 O 12 -30x-18O ,3 (-0,). 3). 39 -15 12 3 C 3, 00) 24 -) f is INC on: f is DEC on: Chrek Find the relative extrema of this function if they exist....
In each case, multiply out to obtain a sum of products: (Simplify where possible) (a) (A’+B’+C +D’)(E+C+D+A+B)(D+B+C)(C+A’)(A+D) (b) (X+Y+Z)(Y+X+W’+Z’)(Z’+X’+W)(Y’+X’)(W’+X)
13. Rewrite the following expression as a single logarithm and simplify where possible: [5 Points) 4. log6x + log6(x - 1) -10964 14. Use the Remainder Theorem to determine if (x - 4) is a factor of f(x) = x3 – 3x2 - 10x + 25. If it is a factor, use polynomial or synthetic division to help you rewrite f(x) in fully factored form. [5 Points]
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)