Question

A 10 bit dac has step size of 10mv. what is the full scale output voltage and the percentage resolution

Answer 1

Answer:

10.23

Explanation:

Answer 2

Given,

10 bit DAC has a step size of 10 mv.

n =10 bits

To Find,

• full-scale output voltage
• the percentage resolution

Solution,

the total voltage level is given to the DAC and it is calculated as:

FSO (VFS) = total steps x step size

FSO ($V_{FS}$) = $(2^{N} -1)$ x step size

$V_{FS}$ = (1023) x 10 x $10^{-3}$

$V_{FS}$ = 10.23 V

the resolution R is calculated as :

R = $\frac{V_{FS} }{2^{N}-1 }$

no. of levels = $2^{N} -1$

$V_{r}$ is reference voltage 'or' full-scale voltage

R = $\frac{10.23}{2^{10}-1 }$ x 100

R = 1%

Hence the full-scale output voltage is 10.23 V and the percentage resolution is 1%.