2ⁿ 生成 2 的幂Generate Powers of Two

使用说明与常见问题How-to & FAQ

「生成 2 的幂」是什么？What is the Generate Powers of Two tool?

生成 2^0, 2^1, … 或指定指数范围。本地处理。可设置「个数」、「起始指数」。Generate 2^0, 2^1, … or a chosen exponent range. Processed locally. Settings: How many, Start exponent.

如何使用「生成 2 的幂」？How do I use the Generate Powers of Two tool?

在「生成 2 的幂」中，按需设置「个数」、「起始指数」，结果会实时显示在下方，点击「复制结果」即可复制。In the Generate Powers of Two: Adjust "How many", "Start exponent"; the result appears below instantly — click "Copy result" to copy it.

和「整数写成 2 的幂形式」有什么区别？How is this different from Convert Number to Power of Two?

本页从起始指数开始连续列出 2 的幂（起始指数 0–2000，最多 200 个，用 BigInt 精确计算）；「整数写成 2 的幂形式」则把你输入的单个整数改写成 2^k 形式。This page lists consecutive powers of two from a start exponent (0–2000, up to 200 values, exact with BigInt). Convert Number to Power of Two rewrites one integer you enter in 2^k form.

输入和输出是什么样的？What does the input and output look like?

例如在「生成 2 的幂」中把「个数」设为 5，「起始指数」设为 0，输出为：1 ⏎ 2 ⏎ 4 ⏎ 8 ⏎ 16（⏎ 表示换行）。For example, in the Generate Powers of Two with "How many" set to 5, "Start exponent" set to 0, the output is: 1 ⏎ 2 ⏎ 4 ⏎ 8 ⏎ 16 (⏎ marks a line break).

有哪些选项可以调整？What options can I adjust?

「生成 2 的幂」的设置：「个数」默认 10；「起始指数」默认 0。每次生成结果都按当前设置处理。Settings in the Generate Powers of Two — "How many" default 10; "Start exponent" default 0. The result always uses the current settings.

计算精度如何？How precise are the results?

「生成 2 的幂」中的整数都用大整数（BigInt）精确计算，不经过浮点，所以再长的项也不会丢失位数；输入超出页面说明的范围时会给出提示，而不是悄悄截断。Integers in the Generate Powers of Two are computed exactly with big integers (BigInt), with no floating-point step, so even very long terms keep every digit; values outside the stated ranges give a message instead of being silently cut off.

「生成 2 的幂」免费吗？需要注册吗？Is the Generate Powers of Two free? Do I need an account?

「生成 2 的幂」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Generate Powers of Two is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.