B abc ab ac bc a b c phi This B is a Boolean Algebra What a

B = {{a,b,c}, {a,b}, {a,c}, {b,c}, {a}, {b}, {c}, phi} This B is a Boolean Algebra! What are the operations \'V\', \'^\' and\'-\' for this Boolean Algebra? What are the elements \'0\' and \'1\' for this Boolean Algebra? Why? What is in this Boolean Algebra? Can you think of a Boolean Algebra which has 4 elements? Can you think of a Boolean Algebra which has 3 elements?

Solution

a) OR ,AND ,NOT operations.

b) 0 represents low state and 1 represents high state.

c) This is a binary boolean algebra.

d) yes there can be boolean algebra with 4 elements.

e) yes there can be boolean algebra with 3 elements.