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A 8-bit A/D converter is used over a span of zero to 2.56 V. The binary representation of 1.0 V signal is
  • a)
    011 001 00
  • b)
    011 100 01
  • c)
    101 001 01
  • d)
    101 000 10
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A 8-bit A/D converter is used over a span of zero to 2.56 V. The binar...
Resolution:
Resolution of ADC is a change in analog voltage corresponding to a 1-bit increment.
Resolution is the number of bits per conversion cycle that the converter is capable of processing.

n = No. of bits of ADC
Vrange = Vmax - Vmin
Analog output = Reslotion x Decimal equivalent to binary
Vo = R x D
Calculation:
Vrange = Vmax - Vmin
Vmax = 2.56 V
Vmin = 0 V
⇒ Vrange = 2.56 V
n = 8
Resolution is

∴ R = 0.01.
Output voltage Vo = 1 V
⇒ 1 = 0.01 x D
∴ D = 100
The binary value of 100 is

The binary equivalent of 100 is (011 001 00)2  
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