human
Give me a the Python program you requested given the following:
1Bit $\Delta\Sigma$-DAC
<img src='DAC.png'>
The final topology of the 1Bit $\Delta\Sigma$-DAC is shown in it's block diagram where the section that where developed above are are stitched via the following
The Delta Section, which consists the DAC input and the feedback subtraction after the binary  output is converted to the feed back word performs the following
$$\Delta(n)=x(n)-\begin{cases}
      2^{W}-1, & \text{if}\ y(n)=1 \
      0, & \text{if}\ y(n)=0
    \end{cases}$$
The Sigma section is the error integrator performing (note: $\Sigma(n)$ is a variable and not summation from calculus)
$$\Sigma(n+1)=\Sigma(n)+\Delta(n)$$
The Comparator converts the output error to a binary output based  on wither the sight of the $\Sigma$ sections accumulated error is positive or negative where in this case 0 is defined to be negative resulting in
$$y(n)=\begin{cases}
      1, & \text{if}\ \Sigma(n)>0 \
      0, & \text{otherwise}
      \end{cases}$$
assistant
#Here is the Python program you requested.
TestData=pd.DataFrame(columns=['Ref', 'QRef'])
refvals = [0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0]

# Generate the actual DAC codes based on the DAC resolution
dac_codes = list()

for value in refvals:

    dac_code = int(value * 2**(BitWidth-2))

    if dac_code == 2**BitWidth:
        dac_code = 2**BitWidth-1
    elif dac_code > 2**BitWidth:
        raise Exception

    dac_codes.append(dac_code)
TestData['Ref']=refvals; TestData['QRef']=dac_codes
TestData

class DACSim:
    def __init__(self):
        self.yStore=[]
        self.FB=0
        self.Sigma=0
    
    def Action(self, x):
        self.DeltaAction(x, self.FB)
        self.SigmaAction(self.Delta)
        self.CompAction(self.Sigma)
        self.yStore.append(self.y)
        self.FBScale(self.y)
        
    def DeltaAction(self, x, FB):
        self.Delta=x-FB
    
    def SigmaAction(self, Delta):
        self.Sigma=self.Sigma+Delta
    
    def CompAction(self, Sigma):
        if Sigma>0:
            self.y=1
        else:
            self.y=0
    
    def FBScale(self, y):
        Scale=2**BitWidth-1
        if y==1:
            self.FB=Scale
        else:
            self.FB=0
            

DAC=DACSim()
DAC.Action(0)
print(f'x: {0}, Delta: {DAC.Delta}, Sigma: {DAC.Sigma}, y: {DAC.y}, FB: {DAC.FB}')

for i in TestData['QRef']:
    DAC.Action(i)
    print(f'x: {i}, Delta: {DAC.Delta}, Sigma: {DAC.Sigma}, y: {DAC.y}, FB: {DAC.FB}')