ADC Codes and Clipping

Fractional Input Keeps the Same Code until the Next Edge

Values between code edges keep the same integer code. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A fractional input can stay in the same bin

Input 11/2 volts is still less than 6 volts.

112 V∈[5,6) V{11\over 2}\ \text{V}\in [5,6)\ \text{V}
Fractional inputThe same half-open bin still contains the input.input=11/2 V[5, 6) Vcode=5

The code does not change until the next edge

The integer output is still code 5 even though the analog value is between edges.

code=5\text{code}=5
Same ADC codeNo decimal approximation is needed.input=11/2 V[5, 6) Vcode=5