LAB # 03

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10 Οκτ 2013 (πριν από 3 χρόνια και 2 μήνες)

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Digital Logic Design


LAB # 03


Stud
ent Name: ___________________




Reg

#: _______________


Objective:

IMPLEMENTATION OF MULTIVARIABLE BOOLEAN EXPRESSION



USING LOGIC GATES



Introduction

Boolean theorems are used to simplify expressions. Think of them as “rules for s
implific
ation”.
These theorems can be di
vided in two groups: single variable and multivariable.

In the multivariable theorems, multiple inputs (x , y and z) can be either a logic 0 or a logic 1.


Theorem 1:

Expression:

x+y

=

y+x

Description:

Th
e
order in which two variables are ored does

not matter.

Example:


Theorem
2
:

Expression:

x
.
y

=

y
.
x

Description:

The
order in which two variables are
anded

does

not matter.

Example:



Digital Logic Design


Theorem 3:

Expression:

x
+(
y
+z)
=

(x+y)+z = x+y+
z

Description:

The
variables
in ored expression can be grouped in any order.

Example:



Theorem 4:

Expression:

x
.
(
y
.
z)
=

(x
.
y)
.
z = x
.
y
.
z

Description:

The
variables
in
anded

expression can be grouped in any order.

Example:




Digital Logic Design


Theorem 5:

Expre
ssion:

x
.(
y
+z)
=

xy+ xz

Description:

An expression can be expanded by multiplying the terms.

Example:



Lab Task:

Verify the truth tables of above theorems in electronic workbench.




Checked By: __________________


Signature:
_____________________


Date: __________________