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Authorized use only. Use this tool solely on systems, tokens, and assets you own or are explicitly permitted to test — credential extraction, signature forging, and unauthorized access are prohibited by our Acceptable Use Policy.

Uniswap V3 Math — Tick & SqrtPrice

price ↔ tick ↔ sqrtPriceX96 with exact Q64.96 integer math

Price → tick / sqrt

tick: 1

sqrtX96: 79232123823359799118286999567

Tick → price / sqrt

price: 1

sqrtX96: 79228162514264337593543950336

sqrtX96 → tick / price

tick: 0

price: 1

Reference points: price 1.0 ↔ tick 0 ↔ sqrtPriceX96 79228162514264337593543950336 (2^96). price = 1.0001^tick. sqrtPriceX96 = sqrt(price) × 2^96. Decimals adjust raw vs human prices: raw = human × 10^(dec0 − dec1).

About the Uniswap Math

Uniswap pricing is pure math: constant-product (x·y=k) for v2, concentrated liquidity and tick square-root pricing for v3 and v4. When you are integrating a router, estimating slippage, or auditing a pool, you need those numbers — without trusting a frontend.

This calculator implements the actual formulas: getAmountsOut for v2 paths, sqrtPriceX96 conversions, tick-to-price mapping, and fee math. It is the reference implementation in your browser — no wallet connection, no RPC, nothing sent anywhere.

How to use

  1. Choose the curve version and calculation you need.
  2. Enter reserves, amounts, or sqrtPrice as available.
  3. Read the exact output amounts and price implications.