Chapter_1_Digital_Systems_and_Binary_Numbers

Chapter_1_Digital_Systems_and_Binary_Numbers - Digital...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Digital Logic Design Ch1-1 Chapter 1 Digital Systems and Binary Numbers Mustafa Kemal Uygurolu Digital Logic Design I Digital Logic Design Ch1-2 Outline of Chapter 1  1.1 Digital Systems i 1.2 Binary Numbers i 1.3 Number-base Conversions i 1.4 Octal and Hexadecimal Numbers i 1.5 Complements i 1.6 Signed Binary Numbers i 1.7 Binary Codes i 1.8 Binary Storage and Registers i 1.9 Binary Logic Digital Logic Design Ch1-3 Digital Systems and Binary Numbers  Digital age and information age i Digital computers General purposes Many scientific, industrial and commercial applications i Digital systems Telephone switching exchanges Digital camera Electronic calculators, PDA's Digital TV i Discrete information-processing systems Manipulate discrete elements of information For example, {1, 2, 3, } and {A, B, C, } Digital Logic Design Ch1-4 Analog and Digital Signal  Analog system The physical quantities or signals may vary continuously over a specified range. i Digital system The physical quantities or signals can assume only discrete values. Greater accuracy t X(t) t X(t) Analog signal Digital signal Digital Logic Design Ch1-5 Binary Digital Signal  An information variable represented by physical quantity. i For digital systems, the variable takes on discrete values. Two level, or binary values are the most prevalent values. i Binary values are represented abstractly by: Digits 0 and 1 Words (symbols) False (F) and True (T) Words (symbols) Low (L) and High (H) And words On and Off i Binary values are represented by values or ranges of values of physical quantities. t V(t) Binary digital signal Logic 1 Logic 0 undefine Digital Logic Design Ch1-6 Decimal Number System  Base (also called radix) = 10 10 digits { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 } i Digit Position Integer & fraction i Digit Weight Weight = ( Base) Position a Magnitude Sum of Digit x Weight a Formal Notation 1-1 2-2 5 1 2 7 4 10 1 0.1 100 0.01 500 10 2 0.7 0.04 d 2 *B 2 + d 1 *B 1 + d *B + d-1 *B-1 + d- 2 *B-2 ( 512 . 74 ) 1 Digital Logic Design Ch1-7 Octal Number System  Base = 8 8 digits { 0, 1, 2, 3, 4, 5, 6, 7 } i Weights Weight = ( Base) Position a Magnitude Sum of Digit x Weight a Formal Notation 1-1 2-2 8 1 1/8 64 1/64 5 1 2 7 4 5 *8 2 + 1 *8 1 + 2 *8 + 7 *8-1 + 4 *8-2 =(330.9375) 10 ( 512 . 74 ) 8 Digital Logic Design Ch1-8 Binary Number System  Base = 2 2 digits { 0, 1 }, called b inary dig its or bits i Weights Weight = ( Base) Position a Magnitude Sum of Bit x Weight a Formal Notation i Groups of bits 4 bits = Nibble 8 bits = Byte 1-1 2-2 2 1 1/2 4 1/4 1 1 1 1 *2 2 + 0 *2 1 + 1 *2 + 0 *2-1 + 1 *2-2 =(5.25) 10 ( 101 . 01 ) 2 1 0 1 1 1 1 0 0 0 1 0 1 Digital Logic Design Ch1-9 Hexadecimal Number System  Base = 16 16 digits { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F } i Weights Weight = (...
View Full Document

This note was uploaded on 05/26/2011 for the course EE 211 taught by Professor Hasandemirel during the Spring '10 term at Eastern Mediterranean University.

Page1 / 55

Chapter_1_Digital_Systems_and_Binary_Numbers - Digital...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online