I understand to logic gates but laws i used not sure can you help me please 4.B.X= (A.B) +A-B)A.BA.1.1Q=Qt0 = XOcoto =X%3DwhatHand out has) Cornmutative haw:ASSOC. hau ADD (A+B) +c= At CB+SASSOC. haw Mult.Distributive Law Eet A(Brc)= AB+AC6) AtO=A Cany thing O2d with O is zeru)t haws whee used in this step must1A+3=B+AAB =BA cMADCAB)C =A(BCA#BC =(AFR(AObrttingAt Ā =I Anything OR'edA. Ā =0 Aug thing Anded with TisA A veriable inuented twice is itseomplemENT LAwSwithits complinceut is IAnded with 1isitetfeomTSAny

Laws of Boolean algebra are- 1) Commutative law: ⋯OR operator→A+B=B+A ⋯AND…

Answered: 10 A-B B- A. A.B A.B 10 haws where used…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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I understand to logic gates but laws i used not sure can you help me please

4.
B.
X= (A.B) +A-B)
A.B
A.
1.
1
Q=Qt0 = X
Ocoto =X
%3D
what
Hand out has
) Cornmutative haw:
ASSOC. hau ADD (A+B) +c= At CB+S
ASSOC. haw Mult.
Distributive Law Eet A(Brc)= AB+AC
6) AtO=A Cany thing O2d with O is zeru)
t haws whee used in this step must
1
A+3=B+A
AB =BA cM
AD
CAB)C =A(BC
A#BC =(AFR
(AO
brtting
At Ā =I Anything OR'ed
A. Ā =0 Aug thing Anded with Tis
A A veriable inuented twice is itse
omplemENT LAwS
withits complinceut is I
Anded with 1isitetfeomTS
Any

Expert Solution

Step 1

Laws of Boolean algebra are-

$1) Commutative law : \dots OR operator \to A + B = B + A \dots AND operator \to A * B = B * A 2) Associative law : A * (B * C) = (A * B) * C (A + B) + C = A + (B + C) 3) Distributive law : A + BC = (A + B) (A + C) and A (B + C) = AB + AC 4) Annulment law : A . 0 = 0 A + 1 = 1 5) Identity law : A . 1 = A A + 0 = A 6) Idempotent law : A + A = A A . A = A 7) Complement law : A + A' = 1 A . A' = 0 8) Double negation law : ((A)')' = A 9) Absorption law : A . (A + B) = A A + AB = A$

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