Every digit, not an approximation. 2 to the power of 200 has 61 of them, and you get all 61.
Most calculators store numbers as 64-bit floating point, which holds about 15–17 significant digits exactly. Beyond that, digits are silently discarded.
Ask a normal calculator for 2²⁰⁰ and you get 1.606938e+60 — correct to seven digits and wrong about the other fifty-four. The exact answer is 1606938044258990275541962092341162602522202993782792835301376, and this tool gives all of it.
It is not a rounding preference. The information is genuinely gone: the format has nowhere to keep it.
This uses BigInt, which is exact but integer-only. Division returns the whole-number quotient with the remainder available separately — 7 ÷ 2 gives 3 remainder 1, not 3.5. That is a deliberate trade: exactness at any size, in exchange for no fractions.
For decimals, ordinary floating point is fine — the Basic Calculator or Scientific Calculator will serve you better.
Because it stores values as 64-bit floating point, which holds roughly 15 to 17 significant digits. Anything beyond that cannot be represented, so it is dropped. The result is displayed in exponential form, correct at the front and wrong behind it.
No. It uses BigInt, which is exact but works only on whole numbers. Division gives the integer quotient, with the remainder available as a separate operation. For decimal arithmetic use the Basic or Scientific Calculator.
Far larger than anything you are likely to need — the limit is memory rather than a fixed digit count. Factorial is capped at 10,000 and exponents at 100,000 here purely to keep the page responsive.
To avoid exactly this loss of precision. Storing £10.99 as 1099 pence keeps every value exact, whereas decimal floating point cannot represent many everyday amounts precisely and the error accumulates across transactions.
For very large or small magnitudes where an approximation is fine, the Scientific Notation Calculator is the right tool. Factorials also drive the Permutation and Combination Calculator, and prime work is in the Factor Calculator.