OR 4. (12% total, 3% each a) Fla,b)-(a'+b) complem abh) Find complements for the following logical...
Consider the following logical expressions where A + B denotes A logical OR B, AB denotes A logical AND B, and ¯ A denotes inverse of A. Derive at least one additive (to be added by logical OR operation) term (excluding obvious 0, 1, A ¯ A or similar) which will not affect the result of the expression. For example, adding (by means of logical OR) term B C D to AB C+ ¯AB D does not change the result,...
please complete each section 4. Use truth tables to establish each of the following logical equivalencies deal- ing with biconditional statements: (a) (P Q) (P - Q) A (Q - P) (b) (PQ) (Q + P) (c) (P Q) (~P »-Q)
Find the inverse Fourier Transform of the following spectra: 3. G) GUD 12 3/2 -B (a) (b) Sketch the following functions: 4. (플)n(금) (c) sinc (b) 스 () (a) n 100A
12. For the following circuit: a) Find the total resistance? b) For each resistor select an appropriate current direction and find the current? c) Find the total current In? d) Show the voltage polarities across each resistor? e) Find the voltage drop across each resistor? f) How much is Vab? g) Calculate the total dissipated power by the circuit? R1 w 200 R3 w 1250 SR4 2000 R5 500 -120 V SR2 1500 a R6 1500 SR7 3000
Please solve the problems from 7_8 Digital system please just answer 7_8 thank you 1 Chapter 3 problems 1. Minimize the following Boolean functions into sum-of-products form using a K-majp (a) F(z, y, ;) = Σ(0, 1, 2, 3, 5, 6) (b) F(a,b, c) 20,1,4,5,7) (c) F(z,y,2)s Σ(1.3.5.7) (d) F(a, b, c) 0,4,7) 2. Minimze the following Boolean functions into sum-of-products form using a K-map (b) Fla,b,c)= Π(0.1.4.5.7) (c) F(z, y,z)= Π(2,4,6) (d) F(a,b,c)-Π(1,2,3,4) 3. Minimize the following Boolean functions...
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...
Obtain the simplest SOP and POS for the following logical expression using K-MAP. 8. F(A,B,C,D) = ABD + ABCD
4) Find the size of transistors for following circuit based on logical effort method if the Cin-5 and Cout-100. Page 2 of 3 a) Find the NAND based realization of following function: b) Find the NOR based realization of following function: 4) Find the size of transistors for following circuit based on logical effort method if the Cin-5 and Cout-100. Page 2 of 3 a) Find the NAND based realization of following function: b) Find the NOR based realization of...
I would greatly appreciate it. 1. Simplify each of the following Boolean functions using K-map a. F(a,b,c)={m(0,1,4,5,6,7) c. F(a,b,c)={m(0,1,2,4,5,6) i. F(a,b,c,d)={m(0,2,4,9,11,13,15) iii. F(a,b,c,d)={m(0, 8,10) ii. FV={m(0,1,2,3,6,7, 10,11) iv. F(a,b,c,d)=[m(0,1,8,9,12,13,15) v. Fla,b,c,d)=E(0,1,8,9,4,12,2,10 ) vi. F(a,b,c,d)=(1,4,2,7)
4. Find a closed formula for the following k 3k k=1 by representing it as an iterated sum. 1. Show that the formula neA n takes on the same logical value as -(y V ), for each assignment of logical values to the statements e and . Show that the formula o V u takes on the same logical value as -(y A), for each assignment of logical values to the statements p and .