Three shifted readout rows show below-threshold, equality, and above-threshold behavior. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Shift 0 gives readout bit 0

Base index 8 plus shift 0 gives observed index 8 against threshold 9.

8+0=8,bit=08+0=8,\quad bit=0
Readout row 1The observed index is computed before thresholding.baseIndex=8 indexshift=0 indexobservedIndex=8 indexthreshold=9 indexresultBit=0 bit

Shift 1 gives readout bit 1

Base index 8 plus shift 1 gives observed index 9 against threshold 9.

8+1=9,bit=18+1=9,\quad bit=1
Readout row 2The observed index is computed before thresholding.baseIndex=8 indexshift=1 indexobservedIndex=9 indexthreshold=9 indexresultBit=1 bit

Shift 2 gives readout bit 1

Base index 8 plus shift 2 gives observed index 10 against threshold 9.

8+2=10,bit=18+2=10,\quad bit=1
Readout row 3The observed index is computed before thresholding.baseIndex=8 indexshift=2 indexobservedIndex=10 indexthreshold=9 indexresultBit=1 bit

The threshold turns a shifted resonator into a bit

Observed eight is below threshold and reads zero. Observed nine is equality and reads one. Observed ten remains one.

baseshiftobservedthresholdbit8089081991821091\begin{array}{c|c|c|c|c}base&shift&observed&threshold&bit\\8&0&8&9&0\\8&1&9&9&1\\8&2&10&9&1\\\end{array}
Readout threshold cross-scanThe displayed row is the equality threshold.observed=threshold gives bit=1