Question B7 115 points] Consider the following Boolean function. F-w'x'y'z+wxz+xy+wxy'z' The don't care function is d=...
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-m(5,6,7,12,14,15) +d (3,9,11,15) (Use K-maps for the simplification)
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-?m(5,6,7, 12, 14, 15) +zd (39, 11, 15) (Use K-maps for the simplification)
Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down the intermediate steps. 1). F11(x,y,z) = x'yz+xyz +x'y'Z+xy'Z+ xy'z 2). F12(x,y,z) = (y'+xyz')' Question 2 [2 points) Obtain the function expression of F2 from the logic diagram. Question 3 [3 points) Obtain the truth table of the following function and rewrite the function in Canonical POS (Product of Maxterms) format: F3(a,b,c) = (a'+c)(a+b+c') +a'bc' Question 4 (2 points) Convert the following function to Canonical...
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.
Simplify the following Boolean function F together with the don't-care condition F(A, B, C, D) = sigma(1, 3, 5, 7, 9, 15), d(A, B, C, D) = sigma m(4, 6, 12, 13)
both i. and ii. are apart of the question. thank you! Question 2: (30 points) a. The truth table for a Boolean expression is shown below. c F b 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 Write the Boolean expression F, in SOP form. (3 points) i. F(x.y,z) ii. Construct a K-Map for the above truth table and...
8) Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in sum-of-minterms form: F (A, B, C, D) = 2(4, 12, 7, 2, 10,) d(A, B, C, D) = 2(3, 9, 11, 15) d(A, B, C, D) = 2(0, 6, 8)
3. Consider the following Boolean function. F(A, B, C, D)-(0, 1, 6, 7, 12, 13) a. Using K-map, simplify F in S.O.P. form b. What is the gate input count in (a)? c. Draw the logic circu in (a) d. Simply F using K-map in P.O.S. form. c. What is the gate input count in (d)? f. What should be your choice in terms of gate input count? 4. In our class, we implemented a BCD-to-Segment Decoder a. Draw Truth...
please answers all of them! 1. Simplify, using algebraic manipulations, the following Boolean expressions to a mini- mum number of terms and factors. (a) XYZ + XY + XYZ (b) XYZ + XZ 2. Find the complement of the following expression: (a) XY + XY 3. Using DeMorgan's Theorem, express the following function .... (a) F= XY+XY + ÝZ ... with only OR and complement operations. 4. Propose and solve your own logic simplification problem using logic theorems 5. Simplify...
Question 2 1 pts Consider the following function f(x.y.z) = y2 + xy + xyz Fill in the following K-map yz Ix 00 Select 14 Select) f, Select] 15 [Select) 1. Select) fy [Select 12 Select) to [Select) D Question 3 1 pts Consider the following function w (J.K) = (1+k") (i+j) Fill in the following K-map [Select] [Select] wi [Select) [Select] Select) [Select] Select] Select]