Correct Answer:
(iii) yz + xy
Truth Table
K-map
Expression
F(x,y,z) = yz + xy
Question 10 5 pts Which of the following expression is the correct minimum SOP (Sum-of-Products) expression...
Question 10 5 pt Which of the following expression is a minimum SOP (Sum-of-Product) expression for function F shown in the truth table below. Use k-map method to minimize. # F y 0 NO 1 2 3 4 x 0 0 0 0 lolol 0 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 5 6 7 8 1 1 0 1 1 1. 1 1 xy+x x+y X'y + xy + xy 1...
Question 22 4 pts Find the sum-of-prime-implicants form of the following Boolean expression: xy +2'z+yz' + xyz xy + xz+y O xy + y2 + 2 OX'z+y+z' O2 + y + 2 None of the above.
Can you please provide the canonical sum of products and minimum sum of products for both functions? f(a,b,c)=Σ m(3,5,6,7) b) a) f(w, x, y, z)=Σ m(0,2,3,4,5,7,8,10, 12,13) Prelab: Develop a canonical SOP and minimum SOP expression for the two functions using the techniques you learned in class. Design an implementation for each 1.
please answer all Canvas Question 17 2 pts Given the function f(x,y,z) and the expression xyz + x2 + yz, how many minterms are in the expression? None of these 1 a,c a,c b start 90 91 Given the FSM above, what is Q? 90.91,92,93 90 None of these 92 Question 19 5 pts
Question 4. (a) Find the minimum sum-of-products expression for each of the functions below using Karnaugh maps i) F = EA,B,C,D(2, 3, 6, 7, 12, 13, 14) (Note: the numbers in the brackets correspond to positions in the Karnaugh map where F takes the logic value 1, ie F = 1 when ABCD = 0010, 0011, 0110, etc). ii) F = []w.x,y,z(0, 2, 6, 7, 8, 14, 15) (Note: the numbers in the brackets correspond to positions in the Karnaugh...
Question 20 (5 marks) For the truth table shown below in Table 1, A C X 0 C C 1 0 C 1 1 0 1 C 1 0 1 1 0 1 0 C 0 1 0 1 0 1 1 C 0 1 1 1 Table 1 a) Derive the standard Sum Of Product (SOP) expression (1 mark) b) Derive the standard Product Of Sums (POS) expression. (1 mark) c) Use a Karnaugh map to find the minimum...
Solve the following problems: 1.(4 points) Design the simplest sum-of-products circuit that implements the function Write the truth table, canonical SOP form, minimal form, and cost. 2.(4 points) Design the simplest product-of-sums circuit that implements the function f(x1, X2, X3 ) = II M(2,3,6). Write the truth table, canonical POS form, minimal form, and cost. 3.(2 point) Design a circuit that implements the simplest sum-of-products circuit that implements the function ing only NAND gates. Show all work, including logic networks.
1) Implement each side with gates, that is a block diagram/schematic a+(b+c) = (a+b)+c a(b+c) = ab + ac 2) Make a truth table for each of the functions below and identify where each term comes from in the truth table a. F=X’Y+Y’Z’+XYZ b. G=XY+(X’+Z)(Y+Z’) c. H=WX+XY’+WX’Z+XYZ’+W’XY’ 3) For the expression F = A’B’C + ABC + ABC’ How many literals are there ___________ How many terms are there ___________ 4) F(a,b,c,d) = m(0,1,4,7,12) Find the canonical sum (which is...
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...
11. Simplify the following Boolean expressions to a minimum number of literals: c) abcd + abc 'd + a'bd btain the truth table for the following functions and express each function in sum-of minterms and product-of-maxterms form: a) (x y')y'+2) c) (xy +yz+xz(x 2)