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Blood Sugar / A1 C Calculator
Convert A1C percentage to estimated average glucose (eAG) in mg/dL or mmol/L — and back — using the clinically validated ADAG regression formula.
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Understanding the Blood Sugar / A1C Calculator
The ADAG Regression Formula
The relationship between A1C percentage and estimated average glucose (eAG) is defined by the ADAG (A1C-Derived Average Glucose) regression equation, established in a landmark 2008 study by Nathan et al. and published in Diabetes Care. The study enrolled 507 participants across 10 international centers, continuously monitoring glucose levels over 12 weeks to derive a statistically robust linear model jointly endorsed by the American Diabetes Association (ADA) and the European Association for the Study of Diabetes (EASD). The longitudinal design captured diverse glucose patterns — including postprandial peaks, nocturnal variations, and hypoglycemic episodes — ensuring the resulting equation reflects real-world glycemic behavior across multiple patient populations.
The Core Formula
The primary conversion from A1C percentage to estimated average glucose is:
eAG (mg/dL) = 28.7 × A1C (%) − 46.7
To convert an average blood glucose reading back to an estimated A1C, the equation rearranges algebraically to:
A1C (%) = (eAG + 46.7) ÷ 28.7
Variable Definitions
- A1C (%) — Glycated hemoglobin, expressed as a percentage of total hemoglobin. Normal: below 5.7%; prediabetes: 5.7–6.4%; diabetes diagnosis threshold: 6.5% or above.
- eAG (mg/dL) — Estimated average glucose in milligrams per deciliter, reflecting average blood sugar over approximately 90 days — the lifespan of a red blood cell.
- eAG (mmol/L) — The same value in millimoles per liter. Conversion: eAG (mmol/L) = eAG (mg/dL) ÷ 18.0182.
Worked Examples: A1C to eAG
Multiply the A1C percentage by 28.7, then subtract 46.7. An A1C of 5.7% (the prediabetes threshold) yields eAG = (28.7 × 5.7) − 46.7 = 163.6 − 46.7 = 117 mg/dL (6.5 mmol/L). An A1C of 7.0%, the common ADA management target for many adults with diabetes, corresponds to eAG = (28.7 × 7.0) − 46.7 = 154 mg/dL (8.6 mmol/L). An A1C of 10.0% equals eAG = 240 mg/dL (13.4 mmol/L), a level that indicates severely elevated average glucose requiring urgent clinical review.
Worked Examples: eAG to A1C
Add 46.7 to the eAG value and divide by 28.7. A glucose average of 126 mg/dL (7.0 mmol/L) — the standard fasting threshold for a diabetes diagnosis — gives A1C = (126 + 46.7) ÷ 28.7 ≈ 6.0%. A daily average of 183 mg/dL (10.2 mmol/L) corresponds to A1C ≈ 8.0%, exceeding the standard management target and signaling a need for treatment adjustment.
Clinical Reference Ranges
- Normal: A1C below 5.7% → eAG below 117 mg/dL (6.5 mmol/L)
- Prediabetes: A1C 5.7–6.4% → eAG 117–137 mg/dL (6.5–7.6 mmol/L)
- Diabetes diagnosis: A1C 6.5% or above → eAG 140 mg/dL or above (7.8 mmol/L)
- ADA general target: A1C below 7.0% → eAG below 154 mg/dL (8.6 mmol/L)
- Tighter control (selected patients): A1C below 6.5% → eAG below 140 mg/dL (7.8 mmol/L)
Limitations and Accuracy
The ADAG formula carries a standard error of estimate of approximately ±14 mg/dL (±0.8 mmol/L), meaning that approximately 68% of calculated eAG values fall within this margin when compared to actual measured average glucose. Conditions such as hemolytic anemia, hemoglobin variants (HbS, HbC), iron deficiency, chronic kidney disease, or recent blood transfusions may skew A1C readings and render eAG estimates unreliable for those individuals. Additionally, individual metabolic variation and differences in glucose distribution throughout the day — such as predominantly elevated postprandial peaks versus persistent fasting hyperglycemia — can result in calculated A1C values that differ from laboratory-measured results by 0.5% or more. The formula performs most accurately in individuals with stable hemoglobin phenotypes and consistent glucose patterns over time. Results from this blood sugar calculator complement — but do not replace — direct glucose monitoring via glucometer, continuous glucose monitor (CGM), or laboratory A1C testing, and clinical evaluation by a licensed healthcare provider remains essential for therapeutic decision-making.
Methodology and Sources
This calculator implements the regression equation from Nathan DM et al., Translating the A1C Assay Into Estimated Average Glucose Values, Diabetes Care 2008 (ADAG Study) — the foundational derivation used by the ADA and EASD. Supplementary clinical context on glucose management is drawn from the UCSF Diabetes Teaching Center guidelines on insulin dosing and glucose targets.
Reference