Question

State any one Distributive Law of Boolean Algebra and Verify it using truth table.

Answer 1

here is your ans

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Answer 2

Distributive law:

A.(B+C) = A.B+ A.C

For verification of the above distributive law

B___C____A____B+C_____A.(B+C)

0___0____0_____0_______0

0___0____1_____0_______0

0___1_____0_____1_______0

0___1_____1_____1_______1

1___0_____0_____1_______0

1___0_____1_____1_______1

1___1_____0_____1_______0

1___1_____1_____1_______1

B__C___A___A.B___A.C__A.B+A.C

0___0____0_____0_______0____0

0___0____1_____0_______0_____0

0___1_____0____0_______0____0

0___1_____1_____0______1_____1

1___0_____0____0_______0____0

1___0_____1_____1_______0_____1

1___1_____0_____0______0_____0

1___1_____1_____1_______1_____1

By looking last entry of both the tables we can see that

A.(B+C) = A.B+ A.C

Hence proved