{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture #6 - Introduction to Combinational logic circuits, Boolean expressions, Truth tables

# Lecture #6 - Introduction to Combinational logic circuits, Boolean expressions, Truth tables

This preview shows pages 1–12. Sign up to view the full content.

ECE 301 – Digital Electronics Introduction to Combinational logic circuits, Boolean expressions, and Truth tables (Lecture #6)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Learning Objectives Introduction to combinational logic circuits Boolean expressions Truth tables Analysis of combinational logic circuits Logical analysis Timing analysis Design of combinational logic circuits Circuit and wiring diagrams Spring 2012 ECE 301 - Digital Electronics 2
Reading Roth & Kinney, Section 2.3 Spring 2012 ECE 301 - Digital Electronics 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Combinational Logic Circuits Composed of interconnected logic gates. Graphical representation of a logic function. Can be designed from (or described by) Truth tables Boolean expressions Realized through Interconnection of discrete components. Synthesis from a Hardware Description Spring 2012 4 ECE 301 - Digital Electronics
Combinational Logic Circuits Spring 2012 ECE 301 - Digital Electronics 5 circuit inputs circuit output literals logical operators

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Logic Functions A logic function can be represented by Circuit diagram (aka. Logic circuit) Boolean expression Truth table Spring 2012 ECE 301 - Digital Electronics 6
Truth Tables A truth table defines the output of a logic function for each combination of the input variables. Each row in the truth table corresponds to a unique combination of the input variables. For n input variables, there are 2n rows Each row is assigned a numerical value, with rows listed in ascending order. The order of the input variables defined in the logic function is important! Spring 2012 ECE 301 - Digital Electronics 7

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Truth Tables Row # A B C F(A,B,C) 0 0 0 0 1 0 0 1 2 0 1 0 3 0 1 1 4 1 0 0 5 1 0 1 6 1 1 0 7 1 1 1 Spring 2012 ECE 301 - Digital Electronics 8 3-variable Truth Table
Truth Tables Row # A B C D F(A,B,C,D ) 0 0 0 0 0 1 0 0 0 1 2 0 0 1 0 3 0 0 1 1 4 0 1 0 0 12 1 1 0 0 13 1 1 0 1 14 1 1 1 0 15 1 1 1 1 Spring 2012 ECE 301 - Digital Electronics 9 4-variable Truth Table

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Truth Tables Row # A B C F1(A,B, C) 0 0 0 0 0 1 0 0 1 1 2 0 1 0 1 3 0 1 1 0 4 1 0 0 0 5 1 0 1 0 6 1 1 0 1 7 1 1 1 0 Spring 2012 ECE 301 - Digital Electronics 10 Row # A B C F2(A,B, C) 0 0 0 0 1 1 0 0 1 0 2 0 1 0 1 3 0 1 1 0 4 1 0 0 0 5 1 0 1 1 6 1 1 0 1 7 1 1 1 0 Are the two logic functions equivalent?
Boolean Expressions A Boolean expression consists of Literals – variables and their complements Logical operations Examples: F1 = A.B.C + A’.B.C’ + A.B’.C’ F2 = (A’+B’+C).(A+B+C).(A’+B+C’) F3 = A.(B+C’) + A’.B’.C’ + (A’+C).B Spring 2012 ECE 301 - Digital Electronics 11

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 45

Lecture #6 - Introduction to Combinational logic circuits, Boolean expressions, Truth tables

This preview shows document pages 1 - 12. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online