For homebrewers, ABV is calculated by measuring the density of the liquid before and after fermentation. Yeast consumes sugars and produces alcohol. Since alcohol is less dense than the sugar-water mixture it replaces, the liquid becomes less dense as fermentation progresses. By comparing density before (original gravity) and after (final gravity), you calculate how much sugar was converted to alcohol.
Understanding Specific Gravity
Specific gravity (SG) is the ratio of a liquid's density to the density of pure water. Water has a specific gravity of 1.000. Wort (unfermented beer) typically has an OG between 1.030 and 1.110 depending on the style. More sugar means higher density and higher OG. After fermentation, FG typically falls between 1.005 and 1.025 as sugars are consumed.
Standard Formula (most common)
ABV = (OG − FG) × 131.25
Example: OG 1.055, FG 1.012. ABV = (1.055 − 1.012) × 131.25 = 0.043 × 131.25 = 5.64%. Good for beers up to ~8% ABV. Simple and widely used.
Hall Formula (high-gravity beers)
Dr. Michael Hall published this more accurate formula in Zymurgy magazine in 1995.
ABV = (76.08 × (OG − FG) ÷ (1.775 − OG)) × (FG ÷ 0.794)
Example: OG 1.055, FG 1.012. ABV = (76.08 × 0.043 ÷ 0.720) × (1.012 ÷ 0.794) = 4.542 × 1.2745 = 5.79%. More accurate for high-gravity beers (OG above 1.075). The difference between the two formulas grows as alcohol content increases.
Which to use: Standard beers (OG under 1.075) work fine with Standard. Strong beers, barleywines, quads: use Hall for accuracy.
Measuring Gravity: Hydrometer vs. Refractometer
| Instrument | Accuracy | Cost | Notes |
| Hydrometer | ±0.001 to 0.002 SG | $10 to $30 | Reads OG and FG accurately. Requires a 30 to 100ml sample. Works at any stage of fermentation without correction. |
| Refractometer | ±0.002 to 0.005 SG | $20 to $80 | Single drop of liquid. Convenient for OG. Reads FG inaccurately once alcohol is present. Requires Novotny correction formula. |
| Digital Hydrometer (Anton Paar) | ±0.0001 SG | $400 to $800+ | Research-grade. Used in commercial brewing. Not practical for homebrew budgets. |
Important for refractometer users: If you take your FG reading with a refractometer, apply the Novotny correction formula before entering it in the ABV calculator. Most brewing software handles this automatically when you specify refractometer input.