PROBLEM 2. Obtain the minterms and maxterms of F(A, B, C)-(A+B)(B +C). (20 points)
Problem -2: Obtain the truth table of the following functions, and express each function in sum-of-minterms and a. (b+co)(c+bd) product-of-maxterms form c. (c'+djbc) d. bd'+acd'+ab'c+a'c
Question 4 [25pts]: Express the Boolean function F =(A+B').(B'+C) a) [12.5pts] As a product of maxterms. b) [12.5pts] As a sum of minterms.
4. Express the Boolean functions F as both a sum-of-minterms and a product-of-maxterms 1 0 0 0 Express the following function as a sum-of-minterms F(a, y,z) (zy)' +zy+ Convert the function from the above question into a prodtuct-of macterms Use the K-map to simplify the three variable Boolean functions F(u,x, y, z) = Σ (0, 2, 3, 4, 5, 8, 12, 15) 00 01 11 10 00 10 11 01 1 1 0 0 11 1 0 0 0 10...
b) Given ? = ∏(1,3,4,6,9,10,11,12,14,15) I. Express F in the form of maxterms II. Find F’ and express in the form of minterms III. Express the function F using minimum number of literals IV. Draw the circuit for the function in step 3 using NAND gates only.
Question 2 (10 Marks): If F(A,B,C,D)=|M(3,4,5,6,8,9,10,12,13,14), a) Express F in minimum SOP and minimum POS. b) Express F in minterms and maxterms. c) Express F in standard form of POS. d) Show that F =(A+B)O(CD).
A logic circuit realizing the function f has four inputs A, B, C, and D. The three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the most-significant bit. The input D is an odd-parity bit, i.e., the value of D is such that A, B, C, and D always contain an odd number of 1’s. (For example, the digit 1 is represented by ABC = 001 and D = 0,...
Problem 4. (25 pts)A circuit with four inputs, (A, B, C, D), and four outputs (F, G, H, I) is described by the table below. For this circuit Para este circuito a. (10 pts) Express G as a sum of minterms (10 pts) Express F as a product of maxterms c. (5 pts) Realize G using just NAND's, and F using only NOR's. A B C DF G HI 0 1 0 1 1 0 0 1 0 1 1...
Find the complement of the following expressions b) (AB+C)0%E 2. Given the Boolean function F -xy + x'y' y'z 1. Implement it with AND, OR, and inverter 2. Implement it with OR and inverter gates, and 3. Implement it with AND and inverter gate 3. Express the following function in sum of minterms and product of maxterms: a) F(A,B,C,D) - B'DA'D BD b) F (AB+C)(B+C'D) 4.Express the complement of the following function in sum of minterms a) F (A,B,C,D)-2 (0,2,6,11,13,14)...
Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = b'c' Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = abc' + a'c
Question #3. For the sum of minterms Boolean expression F(A,B,C) = (0,1,6,7): a) Draw an implementation diagram for F using at least one 3x8 decoder b) Draw an implementation diagram for F using at least one 4xl multiplexer c) Draw an implementation diagram for F using at least one 2x1 multiplexer