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There is a 4 bit ADC with an input range of -5 to +5 Volts.

I would like someone to check my answers.

Q. How many states does the ADC have?

A. The ADC has 2^4 = 16 states.

Q. What voltage does each step represent?

A. range = 10 V

no. of steps = 16-1 = 15

10/15 = .6667 V

Q. Vout = -5 + (digital count*.6667)

What is the largest number an 8 bit binary number can represent? Determine Vout for

this number. If it does not equal 5V, explain.

A. largest 8 bit binary number can represent is 255

Vout = -5 + (255 *.6667)

Vout = 165 V

largest number 4 bits can represent is 15

255 exceeds capability of 4 bit ADC

Q. What is the dynamic range of an 8 bit DAC in dB?

A. range of 8 bit DAC is 0 to 255

20 log (255) = 48.13 dB

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# 4 bit ADC and DAC

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