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A little “bit” of Binary Math

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Presentation on theme: "A little “bit” of Binary Math"— Presentation transcript:

1 A little “bit” of Binary Math

2 Binary Digit = “bit” Digital “1” = +5 V = high (H) Digital “0” = 0 V = low (L)

3 Binary representation
How many numbers can you represent with 1 bit? With 2 bits? With 3 bits? With N? Image credit: etwh.org

4 How do you write the number 45 in binary?
 = 1 × 25 + 0 × 24 + 1 × 23 + 1 × 22 + 0 × 21 + 1 × 20 = = 4510 Image credit:

5 And now, your joke of the day…
There are only 10 types of people in the world. Those who understand binary, and those who don’t.

6 Analog-to-Digital Converter (ADC)
ADC resolution Resolution = 5V/4 levels = 1.25 V/levels 1.25V/LSB Resolution = 5V/8 levels = V/level = 0.625V/LSB LSB = least significant bit Images adapted from:

7 Arduino Uno 10-bit ADC 5V logic level ADC resolution = ?
Higher-end electronics offers 16-bit ADC. What’s the resolution? What about 24 bit ADC? (super high end system!)

8 Successive Approximation Register
1 step at a time Electronics inside Image credit:


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