Find resolution and output voltage of D/A convertor, Computer Engineering

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A 6-bit R-2R ladder D/A converter has a reference voltage of 6.5V. It meets standard linearity.Find
(i) The Resolution in Percent.
(ii) The output voltage for the word 011100.

Ans. Given Number of Bits (n) = 6
Reference Voltage (VR) = 6.5 V

So for R-2R Ladder D/A Converter,
(i)The Resolution in Percent is specified by

1/(2n-1) = 1/(26-1) = 1/63 = 1.59%

(ii)The Output Voltage (VO) of six-bit R-2R Ladder D to A Converter for the word 011100 is specified by

V0 = VR/2n[an-12n-1 + an-22n-2 +...........+a121 + a020]

V0 = 6.5/26[0.2 x 26-1 + 1 x 26-2 +1 x 26-1 + 0 x 20]

V0 = 6.5/26[24 + 23 + 22]

V0 = 2.84 V.


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