Question

prove commutative and associative law in boolean algebra​

Answer 1

comutative law

law 1: x+y=y+x:

 x     y   x+y   y+z

 0    0     0      0

 0     1     1        1

 1     0     1        1

 1      1     1        1

using the truth table we can prove x+y=y+z

law 2: x.y=y.x

x   y   x.y   y.x

0   0   0     0

0    1   0     0

1    0   0     0

1     1    1      1

using the truth table we can prove x.y=y.x

Answer 2

Explanation:

The basic Laws of Boolean Algebra that relate to the Commutative Law allowing a change in position for addition and multiplication, the Associative Law allowing the removal of brackets for addition and multiplication, as well as the Distributive Law allowing the factoring of an expression, are the same as in ordinary algebra.