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Question on multibit delta-sigma modulator

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swicap

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I want to design a digital multibit delta sigma modulator.
I have a question on multibit quantizer design.
The quantizer is a 2bit 4level quantizer.

In simulink, the quantizer's input/output relationship is: (reference is 1 / -1).
input output
-1 ~ -0.5 -1
-0.5 ~ 0 -1/3
0 ~ 0.5 1/3
0.5~ 1 1

I don't know if this relationship is right.
if output level is uniformaly distributed from -1 to 1,
how to mapping it to digital implementation.
I mean if the output is 2bit signal, and the feedback path
is , for example, 10bit to the adder, it is impossible to give
the precise level value 1/3 and -1/3.

Thanks for your reply.

Added after 2 hours 10 minutes:

add:

in the image attached,
i plot 2 I/O schems for 2bit quantizer.
which is right?
 

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