12-04-2014, 02:44 PM
digital logic systems
[attachment=61213]
Objectives:
At the end of the unit, the student should be able to:
1) understand the concepts of logic operations and gates;
2) identify the different Boolean functions;
3) discuss the Canonical and Standard form;
4) learn how to derive a Boolean expression of a function defined by its truth table;
5) learn how Boolean expressions derived by the theorems and postulates;
6) understand the simplification of Boolean functions;
LOGIC OPERATIONS AND GATES
A logic gate is an ideal or physical device applying Boolean function, it implements a logic operation on one or more logic inputs and makes a single logic output. It is primarily implemented using transistors performing as electronic switches. By the use of logic gates digital systems are said to be build.
These gates are the following:
a) AND
b) OR
c) NOT
d) NAND
e) NOR
f) EXOR
g) EXNOR
Logic Circuits and Boolean Functions
Boolean Function is an illustration designed with binary variables, binary operators AND and OR and unary operator NOT, equal sign and a parenthesis are used. The function can be either 0 or 1 for the given value of the variables. Through the used of logic gates Boolean expressions can be computed by applying them in hardware.
The Boolean expressions resulting from the given circuits below can be written down as Boolean functions. Let us consider the expression vw+xy when equated to a variable F (F= vw+xy) converts a Boolean function. Consider the Boolean function F=vw+xy.
[attachment=61213]
Objectives:
At the end of the unit, the student should be able to:
1) understand the concepts of logic operations and gates;
2) identify the different Boolean functions;
3) discuss the Canonical and Standard form;
4) learn how to derive a Boolean expression of a function defined by its truth table;
5) learn how Boolean expressions derived by the theorems and postulates;
6) understand the simplification of Boolean functions;
LOGIC OPERATIONS AND GATES
A logic gate is an ideal or physical device applying Boolean function, it implements a logic operation on one or more logic inputs and makes a single logic output. It is primarily implemented using transistors performing as electronic switches. By the use of logic gates digital systems are said to be build.
These gates are the following:
a) AND
b) OR
c) NOT
d) NAND
e) NOR
f) EXOR
g) EXNOR
Logic Circuits and Boolean Functions
Boolean Function is an illustration designed with binary variables, binary operators AND and OR and unary operator NOT, equal sign and a parenthesis are used. The function can be either 0 or 1 for the given value of the variables. Through the used of logic gates Boolean expressions can be computed by applying them in hardware.
The Boolean expressions resulting from the given circuits below can be written down as Boolean functions. Let us consider the expression vw+xy when equated to a variable F (F= vw+xy) converts a Boolean function. Consider the Boolean function F=vw+xy.