In the following diagram ifs,-1 and S 0 what will be the logic state at the...
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)...
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...
(06) Proof the following absorption theorem using the fundamental of Boolean algebra X+ XY= X (07) Use De Morgan's Theorem, to find the complement of the following function F(X, Y, Z) = XYZ + xyz (08) Obtain the truth table of the following function, then express it in sum-of-minterms and product-of-maxterms form F= XY+XZ (Q9) For the following abbreviated forms, find the corresponding canonical representations, (a) F(A, B, C) = (0,2,4,6) (b) F(X, Y, Z) = II (1,3,5,7)
CAN YOU PLEASE DO ONLY NUMBER 4.......PLEASE AND THANK YOU University of Windsor School of Computer Science - Summer 2020 COMP-2650-91: Computer Architecture I: Digital Design Lab-3 Posted: June 17, 2020 05:30 PM Due: June 24, 2020 05:30 PM You must show your work for every question! 1. Simplify the lollowing Boolean expressions to a minimum number of literals: (2x3 = 6 points) (a) a'be + ab + abc + abc (b) (a' +(a ++) 2. Draw logic diagrams of...
Please solve the problems from Ch1 Q11and Ch2 2b,3,8,12,14a Digital system 11. Decode the following ASCII messages. (100 1001)2 (010 0000)2 (110 11002 I (110 1111)2 (111 0110)2 (110 0101)2 (a) (010 0000)2 (100 0101)2 (100 0011)2 (100 0101)2 (011 0010)2 (011 0001)2 (011 0101)2 Show transcribed image text 2. Prove the following properties. (a) Prove the distributive property of the AND () operation over the OR (+). (b) Prove that x +n/-: + y. (c) Prove the absorption law...
show work plz Consider the following finite state diagram. State 1 Output=1 State 0 Output=0 State 2 Output=1 State 3 Output=0 The diagram has 4 states, 1 external input / (in additional to the CLK input), and 1 output bit Y. State 0 is represented by memory bits Qi Qo=00, State 1 is represented by memory bits Q.Qo=01, State 2 is represented by memory bits Q.Qo = 10, and State 3 is represented by memory bits Q.Qo = 11. The...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. [5 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? [5 points 2. Consider the following Boolean function: F(x, y, z) = (x + y)z'+xy! a. Implement the circuit for the function using...
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...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
please help me solve these. discrete structures for computing. Answer the following 1) 2points Use a table to express the values of the Boolean function: F(x, y, z) = xy + (xyz) 0 0 0 0 0 1 0 1 0 011 1 0 0 1 0 1 110 11 2) 2points) Find the sum-of-products expansion of the Boolean function: F(x, y, z) = (x + 2)y. i.e. 3) (2 points] Express the Boolean function F(x, y, z) = xy...