• Outline
❑Introduction
❑Review of Op-Amps
❑Types of digital to analog conversion
     ❑ Binary weighted resistors
     ❑ R/2R Ladder resistors
❑Examples
❑Devices
❑Applications
     • Introduction
❑ Digital-to-analog converter (DAC, D/A, D2A, or D-
  to-A) is a system that converts a digital signal into
  an analog signal. An analog-to-digital converter
  (ADC) performs the reverse function.
❑ DACs are often used to convert finite-precision
  time series data to a continually varying physical
  signal.
             • Introduction
               2                3                  4
                                                                  5
    1
                              Digital                        Actuator
Transducer    ADC                                 DAC
                              System
Electrical          Digital             Digital
 Analog             Inputs              Output
  Signal                                                Analog
                                                        Output
• Introduction
• Review of Op-Amps
❑ Virtual ground concept
  and closed-loop voltage
  gain development for the
  inverting amplifier.
• Review of Op-Amps
❑ Summing Amplifier
• Types of DAC
 Binary weighted resistors
  ❑ A scaling adder as a four
    digit DAC
             • Types of DAC
              Binary weighted resistors
❑ Example:
              • Types of DAC
               Binary weighted resistors
❑ Solution:
              • Types of DAC
               Binary weighted resistors
❑ Solution:
• Types of DAC
  R/2R Ladder resistors
• Types of DAC
  R/2R Ladder resistors
  ❑ Equivalent Ladder circuit
    with D2,D1,D0 grounded
            −𝑉𝑟𝑒𝑓          −𝑉𝑟𝑒𝑓
  ❑ 𝐼3 =               =
           2𝑅+2𝑅||2𝑅        3𝑅
• Types of DAC
  R/2R Ladder resistors
  ❑ Equivalent Ladder circuit
    with D3,D1,D0 grounded
            −𝑉𝑟𝑒𝑓          −𝑉𝑟𝑒𝑓
  ❑ 𝐼2 =               =
           2𝑅+2𝑅||2𝑅        3𝑅
           • Types of DAC
                     R/2R Ladder resistors
❑ Equivalent Ladder circuit
          −𝑉𝑟𝑒𝑓          −𝑉𝑟𝑒𝑓
❑ 𝐼0 =               =
         2𝑅+2𝑅||2𝑅        3𝑅
        • Types of DAC
             R/2R Ladder resistors
Generally:
      The equation of         the    output voltage
      will be:
               𝑫𝟎 ∗𝟐𝟎 +𝑫𝟏 ∗𝟐𝟏 +𝑫𝟐 ∗𝟐𝟐
      𝑽𝒐 =              𝟐𝟑
Or:
• Types of DAC
  R/2R Ladder resistors
 • Comparison between
       two types
       Binary Weighted                   R-2R
                              Only 2 resistor values
                              Easier implementation
Pros   Easily understood
                              Easier to manufacture
                              Faster response time
       Limited to ~ 8 bits
       Large # of resistors
Cons   Susceptible to noise   More confusing analysis
       Expensive
       Greater Error
         • DAC
• Performance Specifications
 ❑Resolution
 ❑Errors
                 Resolution
 Resolution: is the amount of variance in output
 voltage for every change of the LSB in the digital input.
 How closely can we approximate the desired output
 signal(Higher Res. = finer detail = smaller Voltage
 divisions)
 A common DAC has a 8 - 12 bit Resolution
                         VRef
Resolution = VLSB       = N
                          2        N = Number of bits
                                   Errors
Offset Error:
Occurs when there is a constant
offset between the actual output
and the ideal output
    .
    Analog Output
                                           Digital Input
                    Ideal Output   Positive Offset Errorr   Negative Offset Error
                     Errors
Resolution error:
Poor representation of ideal output
due to poor resolution
  • APPLICATIONS
❑CD Players
❑MP3 Players
❑Digital Telephone/Answering
 Machines
     • APPLICATIONS
        ❑Function Generators
• Digital Oscilloscopes • Signal Generators
   • Digital Input        •   Sine wave generation
   • Analog Output        •   Square wave generation
                          •   Triangle wave generation
                          •   Random noise generation
•THE END
 • Any question?