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Introduction to Digital Systems DPT 251

Introduction to Digital Systems DPT 251. Objectives. Explain the basic differences between analog and digital. Explain the basic logic operations of NOT, AND, and OR Count in the binary number system. Convert from decimal to binary and from binary to decimal.

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Introduction to Digital Systems DPT 251

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  1. Introduction to Digital Systems DPT 251

  2. Objectives • Explain the basic differences between analog and digital. • Explain the basic logic operations of NOT, AND, and OR • Count in the binary number system. • Convert from decimal to binary and from binary to decimal. • Apply arithmetic operations to binary numbers. • Convert between binary and hexadecimal numbers. • Convert between binary and octal numbers.. • Explain other Digital codes

  3. High Low Introduction to Digital Systems • Analog devices and systems process time varying signals that can take on any value across a continuous range. • Digital systems use digital circuits that process digital signals which can take on one of two values, we call: 0 and 1 (digits of the binary number system) or LOW and HIGH or FALSE and TRUE • Digital computers represent the most common digital systems.

  4. Advantages of Digital Systems Over Analog Systems • More reliable than analog systems due to better immunity to noise & better accuracy. • Ease of design: No special math skills needed to visualize the behavior of small digital (logic) circuits. • Programmability. • Speed: A digital logic element can produce an output in less than 10 nanoseconds (10-8 seconds). • Economy: Due to the integration of millions of digital logic elements on a single miniature chip forming low cost integrated circuit (ICs).

  5. Digital and Analog electronics together

  6. Binary Digits • Binary System • 1 and 0 (called bits – binary digit) • Represented by voltage level Positive LogicNegative logic HIGH = 1 HIGH = 0 LOW = 0 LOW =1 For TTL the HIGH values range 2V to 5V the LOW values range 0V to 0.8V

  7. Digital Waveform

  8. Digital Waveform Carries Binary Information A clock waveform synchronized with a waveform representation of a sequence of bits.

  9. Example of a timing diagram Timing diagram Timing diagram is a graph of digital waveforms showing the actual time relationship of two or more waveforms and how each waveform changes in relation to the others.

  10. Serial and Parallel Transfer of Binary Data

  11. The basic logic operations and symbols.

  12. Cutaway view of one type of fixed-function IC package showing the chip mounted inside, with connection to input and output pins.

  13. Examples of through-hole and surface-mounted devices. Examples of Surface Mount Technology (SMT) package configurations.

  14. Pin numbering for two standard types of IC packages. Top views are shown.

  15. Number Systems & Codes Objectives: • Introduction to number systems • Decimal (Base 10) • Binary (Base 2) • Octal (Base 8) • Hexadecimal (Base 16) • Number Conversion • Simple Arithmetic • Binary Codes

  16. Number Systems • 0 ~ 9 • 0 ~ 1 • 0 ~ 7 • 0 ~ F • Decimal • Binary • Octal • Hexadecimal

  17. Dec Hex Octal Binary 0123456789101112131415 0123456789ABCDEF 000001002003004005006007010011012013014015016017 00000000000000010000001000000011000001000000010100000110000001110000100000001001000010100000101100001100000011010000111000001111 N U M B E R S Y S T E M S

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