Quick question about resolution

Discussion in 'General Electronics Chat' started by freemindbmx, Apr 3, 2014.

  1. freemindbmx

    Thread Starter Member

    Mar 5, 2014
    72
    0
    In a ADC,the example I got was.A 2-bit ADC in a 10v range can represent this 10v analog input as 4 different binary values


    Value-Voltage Resolution
    00-(0-2.5v),
    01-(2.5v-5v),
    10-(5v-7.5),
    11-(7.5v-10v)

    and it divides the input voltage range into four voltages of resolution.My question is how does a 10-bit resolution,have 1024 values if you can basically only have 4 finite values of binary. 00,01,10,11.Little confused here,I tried looking it up but got more confused.
     
  2. shteii01

    AAC Fanatic!

    Feb 19, 2010
    3,399
    497
    2-bit adc has 2 bits, 2^2=4.

    10-bit adc has 10 bits, 2^10=1024.
     
  3. odinhg

    Active Member

    Jul 22, 2009
    65
    15
    You can only have 4 different values when having 2 bit resolution. When you're having 10 bits, you can have 1024 different values.

    Code ( (Unknown Language)):
    1. 0 = 0000000000
    2. 1 = 0000000001
    3. 2 = 0000000010
    4. 3 = 0000000011
    5. 4 = 0000000100
    6. ...
    7. 1021 = 1111111101
    8. 1022 = 1111111110
    9. 1023 = 1111111111
     
  4. tshuck

    Well-Known Member

    Oct 18, 2012
    3,531
    675
    One bit of binary has only two values - 0 or 1. In your 2-bit example, you have two bits, each with two possibilities (0 and 1), giving you 4 possible combinations (2^2 = 4).

    N-bit data has 2^n values, so 2^10 = 1024.
     
  5. freemindbmx

    Thread Starter Member

    Mar 5, 2014
    72
    0
    thanks,for some reason I had convoluted thinking about how many combinations you could have. lol
     
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