a.

17. Using the IDEMPOTENT law, simplify the following Boolean

expressions:

a. P+P

b. A+B+A+C+B+D

b.

c. (RS)(RS)

d. XY Z+XY Z

a. P

18. The laws which have been covered up to this point are listed below.

b. A+B+C+D

IDENTITY:

A=A

A=A

c. RS

COMMUTATIVE:

AB = BA

A+B = B+A

d. XY Z

ASSOCIATIVE:

A (BC) = ABC

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

IDEMPOTENT:

AA = A

A+A = A

These are a few of the laws which are used to simplify Boolean

expressions. For example:

(XY) + (YX) + (AB) + (BA) + (EE)

COMMUTATIVE

(XY) + (XY) + (AB) + (AB) + (EE)

IDEMPOTENT

(XY) + (AB) + (E)

ASSOCIATIVE

XY+AB+E

Simplify the following Boolean expressions by using the required laws.

a. (LL)(MM)

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