Voltage Resolution (Analog to Digital)

The Voltage Resolution (Analog to Digital) calculator computes the Voltage Resolution (ε_v) of a measured analog signal over the nominal range [V_L , V_H], where V_L and V_H are the low and high end respectively of the nominal voltage range with a specified number of conversion bits.

INSTRUCTIONS: Choose units and enter the following:

• (V_L) Lower Voltage range.
• (V_H) Higher Voltage range.
• (n) Select Number of conversion bits (4,8,10,12,16)

Voltage Resolution(ξ_V): The calculator returns the voltage resolution (ε_v) in millivolts.  However, this can be automatically converted to other electrical potential units via the pull-down menu.

The Math / Science

The Voltage Resolution (analog to digital) equation is a function of a key design parameter, the number n of conversion bits in the analog to digital (A/D) converter.  The values for n are typically 4, 8,10, 12, or 16. Logically, the value of n can be defined in the range of [0, `2^n`-1].   The Voltage Resolution formula is:

       ξ_V = (VH - VL) / 2ⁿ

where:

• ξ_V = Voltage resolution
• VH = Higher Voltage Range
• VL - Lower Voltage Range
• n - number of conversion bits

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