Quantization Step Three-Row Scan - Electronic Circuits X: Sampling, Quantization, and Finite Conversion Step by Step

The LSB is the finite voltage span divided by the number of codes. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Eight volts over eight codes gives one volt

Voltage span 8 V divided by 8 finite codes gives LSB 1 V.

8\ \text{V}/8=1\ \text{V}

The same span over sixteen codes gives one half

Voltage span 8 V divided by 16 finite codes gives LSB 1/2 V.

8\ \text{V}/16={1\over 2}\ \text{V}

A wider span over fewer codes gives two volts

Voltage span 12 V divided by 6 finite codes gives LSB 2 V.

12\ \text{V}/6=2\ \text{V}