Question

solve using Boolean Algebra

5. For the following Boolean equation (12 points total a,b.c) a) Write out the logic for the unsimplified equation Simplify the equation c) Write out the ladder logic for the simplified equation 10. A 100 pound object needs to be lifted vertioally one foot You hae2cir. The 9 P actuator with a 12-inch stroke connected to a 50 psi source mass is restricted bye set of guide rails, wnich limit t to vertical motion bearings with a frict urized air and which use will it take? the object be ifed7 How long

Answer 1

Answer:- (5)

X = A + B(A + CB' + DA'C) + ABCD

(a)

Logic for the unsimplified equation:

use k- map:

Map CD C.D CD CD 3 CI) AB 0 0 0 0 AB 0 00 AB1 111 AB 11 1

Map Layout AB 0 1 3 2 AB 4 57 6 AB 12 13 15 14 AB 8 9 11 10 Groups (8,9,10,11,12,13.14,15)| A (/15) B.C.D

(b):

simpification for given equation:

X = A + B.C.D

Truth table for simplify equation:

Truth Table A | B | C | D | Y 1 O 2O1 3 O01 6 01 1O 1 01 011 10 1 0 1 0 1 12 1 11 131 1 0 11 14 1 1 1

(c):

AA BB C C D D AA BB C C D D

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Thank you!