Question

a1x1 b1 R Q ao

1. An application of prepositional logic is the design of combinational circuits used in digital systems. Using inputs (statements) a1, b1,ao.   Determine the outputs P, Q, and R in figure 2 above    
ii) Assuming P is true(“on”), what will be the output R of this circuit
b) Given the domain of discourse is Real numbers?                                                                                                 
1c) The static force balance on three masses yields the following system of equations:

(A+ B +C) x – By –Cz = G
–Bx +(B+D)y – Dz = H
-Cx – Dy + (C + D + E)z = I

If A=40N/cm, B=C=D=20N/cm and E=(2*A+10)N/cm. Let G= H= I =20

i. Determine the solution to the system using the Gauss Seidel Method,
ii. The partial pivotal method

Answer 1

We have given logic circuit is 1 a) a, at DO R ao x1 Here D kile will have out puts P arot CO= a. 90 and R= P+Q== asobit a,.ao RE a. lb, tao) Now, truth table. Inputs Outputs a bi ao р R o O 1 1 ㅗ 0 0 (1) LO 1 L 1 IL I I 1 16) It is clear from truth table if output pl is ON! R also ON. then output