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)
IT 0344
1-12
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