Representation of logic function

Representation of logic function:

SOP:

The sum of product are derived from the symbolic representation of the OR and AND functions by   +  and . (addition and multiplication)

But these are not arithmetic operation.

A product term is any group of literals that are ANDed together.

Example:

F(A+B+C)=ABC+A

A Sum of product is a group of product termed ORed together.

For example in the sum of product expression ABC+A the first product term contains literals A,B and C in their un-complemented form.

The second part contains B and C in their inverted complement form.

POS:

A product of sum is any group of sum terms ANDed together.

Example:

f(A ,B ,C)=(A+B) . ()

Each of these product of sum expression consist of two or more sum terms that are ANDed together.

Each sum term consisting of one or more literals appearing in either complemented or un-complemented form.

Standard or canonical SOP:

Each term in SOP form contains all the literals the SOP form is known as Standard or canonical SOP.

Each individual term in Standard SOP is said to minterm.

Standard or canonical POS:

Each term in POS form contains all the literals the POS form is known as Standard or canonical POS.

Each individual term in Standard POSis said to maxterm.

 

Converting the expression in Standard POS

f(A,B,C)=(A+C)(A+B)(B+C)

UNIT 2 COMBIATIONAL CIRCUIT

Review of Boolean Theorem

Introduction to combinational logic circuit

Representation of logic function

Karnaugn map(k-Map)

Multiplexer

Demultiplexer

Decoders

Encoder

Code converters