🔄 二进制转负二进制（base −2）Convert Binary to Negabinary
把普通二进制数（可以带负号）转换成负二进制（以 −2 为底的进位制）：每行一个或用空格分隔，支持任意位数；可同时显示十进制值，或显示“输入 → 结果”对照。负二进制不需要负号就能表示负数，常见于编程题和数制练习，数据在本地处理。Convert ordinary binary numbers (a minus sign is allowed) into negabinary, the base −2 number system. One value per line or separated by spaces, any length. Optionally show the decimal value or an input → result table. Negabinary writes negative numbers without a sign and turns up in programming puzzles and number-system exercises. Processed locally.
使用说明与常见问题How-to & FAQ
「二进制转负二进制（base −2）」是什么？What is the Convert Binary to Negabinary tool?
把普通二进制数（可以带负号）转换成负二进制（以 −2 为底的进位制）：每行一个或用空格分隔，支持任意位数；可同时显示十进制值，或显示“输入 → 结果”对照。负二进制不需要负号就能表示负数，常见于编程题和数制练习，数据在本地处理。Convert ordinary binary numbers (a minus sign is allowed) into negabinary, the base −2 number system. One value per line or separated by spaces, any length. Optionally show the decimal value or an input → result table. Negabinary writes negative numbers without a sign and turns up in programming puzzles and number-system exercises. Processed locally.
如何使用「二进制转负二进制（base −2）」？How do I use the Convert Binary to Negabinary tool?
在「二进制转负二进制（base −2）」中，把内容粘贴或输入到上方输入框，结果会实时显示在下方，点击「复制结果」即可复制。例如输入「111 -1」，得到「11011 11」。In the Convert Binary to Negabinary: Paste or type into the input box; the result appears below instantly — click "Copy result" to copy it. Example: "111 -1" → "11011 11".
什么是负二进制（negabinary）？What is negabinary?
负二进制是以 −2 为底数的进位制：从右往左各位的权重是 1、−2、4、−8、16……例如 11011 = 16 − 8 + 0 − 2 + 1 = 7。它不需要负号就能表示所有正负整数，例如 −1 写成 11、−2 写成 10。Negabinary is base −2: from the right the place values are 1, −2, 4, −8, 16 and so on, so 11011 = 16 − 8 + 0 − 2 + 1 = 7. It writes every positive and negative integer without a minus sign: −1 is 11 and −2 is 10.
怎么手算转换？How do I convert by hand?
反复除以 −2，并让余数保持为 0 或 1：余数为负时把余数加 2、商加 1。把余数从下往上读就是结果。例如 7：7 ÷ −2 = −3 余 1，−3 ÷ −2 = 2 余 1，2 ÷ −2 = −1 余 0，−1 ÷ −2 = 1 余 1，1 ÷ −2 = 0 余 1，得 11011。Divide by −2 repeatedly, keeping each remainder 0 or 1 (if a remainder comes out negative, add 2 to it and 1 to the quotient). Read the remainders from bottom to top. For 7: 7 ÷ −2 = −3 r 1, −3 ÷ −2 = 2 r 1, 2 ÷ −2 = −1 r 0, −1 ÷ −2 = 1 r 1, 1 ÷ −2 = 0 r 1, giving 11011.
输入的负数怎么写？How do I enter a negative number?
在二进制数前面加 - 号，例如 -101 表示 −5，转换结果是 1111。负二进制本身没有负号。Put a minus sign in front of the binary number: -101 means −5 and converts to 1111. Negabinary itself never needs a sign.
计算精度如何？How precise are the results?
全程用 BigInt 任意精度整数，不是双精度浮点，所以很长的二进制转换也完全精确。Conversion uses BigInt (arbitrary-precision integers), not double-precision floats, so long binary values convert exactly.
输入和输出是什么样的？What does the input and output look like?
例如在「二进制转负二进制（base −2）」中输入 111 ⏎ -1 ⏎ 10，输出为：11011 ⏎ 11 ⏎ 110（⏎ 表示换行）。For example, the Convert Binary to Negabinary turns the input 111 ⏎ -1 ⏎ 10 into: 11011 ⏎ 11 ⏎ 110 (⏎ marks a line break).
有哪些选项可以调整？What options can I adjust?
「二进制转负二进制（base −2）」的设置：可勾选：「显示“输入 → 结果”」、「显示十进制」。改动任一选项后结果会按新设置重新生成。Settings in the Convert Binary to Negabinary — tick boxes: "Show input → result", "Show decimal". Changing any option regenerates the result with the new setting.
「二进制转负二进制（base −2）」免费吗？需要注册吗？Is the Convert Binary to Negabinary free? Do I need an account?
「二进制转负二进制（base −2）」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 Convert Binary to Negabinary is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.