Determine the property of join in a boolean algebra, Mathematics

Assignment Help:

Determine that in a Boolean algebra, for any a and b, (a Λ b) V (a Λ b' ) = a. 

Ans: This can be proved either by using the distributive property of join over meet (or of meet over join) or utilizing a truth table for the expression. Let us make use of the truth table.

31_Boolean algebra.png

From the truth table, it is obvious which entries for the expression and that for 'a' are similar and therefore the result.


Related Discussions:- Determine the property of join in a boolean algebra

Solve step by step, Use an appropriate infinite series method about x = 0 t...

Use an appropriate infinite series method about x = 0 to find two solutions of the given differential equation: y''''-xy''-y=0

Find out the volume of the solid method of disks , Find out the volume of t...

Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 4x + 5 , x = 1 , x = 4 , and the x-axis about the x-axis. Solution : The firstly thing t

Statistics, what is the meaning of statistics

what is the meaning of statistics

Rolles therom, f(x)=sin x+cos x in the interval {0,90}

f(x)=sin x+cos x in the interval {0,90}

Complex number, a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.fi...

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

Explain comparing mixed numbers in maths, Explain Comparing Mixed Numbers i...

Explain Comparing Mixed Numbers in maths? A mixed number is made up of two parts: a whole number and a fraction. For example: 2(3/4) 2(3/4) is read "two and three-fourths

Example of 3-d coordinate system, Example of 3-D Coordinate System Exam...

Example of 3-D Coordinate System Example: Graph x = 3 in R, R 2 and R 3 .   Solution In R we consist of a single coordinate system and thus x=3 is a point in a 1-D co

Representation of a set, Normally, sets are given in the various ways A)...

Normally, sets are given in the various ways A) ROASTER FORM OR TABULAR FORM In that form, we describe all the member of the set within braces (curly brackets) and differen

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd