🔢 负二进制解码（base −2 转十进制）Decode Negative Binary
把负二进制数（以 −2 为底的进位制）解码成十进制整数，也可以同时给出普通二进制（带负号）：每行一个或用空格分隔，支持任意位数；可显示“输入 → 结果”对照和各位权重展开式（如 11011 = 16 − 8 − 2 + 1 = 7）。适合学习数制、做编程题和检查编码结果，数据在本地处理。Decode negabinary numbers (base −2) into decimal integers, optionally with the ordinary signed binary too. One value per line or separated by spaces, any length. Show an input → result table or the place-value expansion (e.g. 11011 = 16 − 8 − 2 + 1 = 7). Handy for learning number systems, programming puzzles and checking encoded results. Processed locally.
使用说明与常见问题How-to & FAQ
「负二进制解码（base −2 转十进制）」是什么？What is the Decode Negative Binary tool?
把负二进制数（以 −2 为底的进位制）解码成十进制整数，也可以同时给出普通二进制（带负号）：每行一个或用空格分隔，支持任意位数；可显示“输入 → 结果”对照和各位权重展开式（如 11011 = 16 − 8 − 2 + 1 = 7）。适合学习数制、做编程题和检查编码结果，数据在本地处理。Decode negabinary numbers (base −2) into decimal integers, optionally with the ordinary signed binary too. One value per line or separated by spaces, any length. Show an input → result table or the place-value expansion (e.g. 11011 = 16 − 8 − 2 + 1 = 7). Handy for learning number systems, programming puzzles and checking encoded results. Processed locally.
如何使用「负二进制解码（base −2 转十进制）」？How do I use the Decode Negative Binary tool?
在「负二进制解码（base −2 转十进制）」中，把内容粘贴或输入到上方输入框，按需设置「输出」，结果会实时显示在下方，点击「复制结果」即可复制。例如输入「11011 1101」，得到「7 -3」。In the Decode Negative Binary: Paste or type into the input box, adjust "Output"; the result appears below instantly — click "Copy result" to copy it. Example: "11011 1101" → "7 -3".
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.
负二进制里能有负号吗？Can a negabinary number have a minus sign?
不能，负二进制只由 0 和 1 组成，正负由各位的权重决定：位数为偶数个（最高位权重为负）时通常是负数，例如 11 = −2 + 1 = −1。输入里带 - 号会提示错误。No. Negabinary uses only 0 and 1 and the sign comes from the place values; numbers with an even number of digits (the top place is negative) are usually negative, e.g. 11 = −2 + 1 = −1. A minus sign in the input gives an error.
计算精度如何？How precise are the results?
「负二进制解码（base −2 转十进制）」使用 JavaScript 双精度浮点数（约 15–16 位有效数字），部分功能使用 BigInt 处理大整数。The Decode Negative Binary uses double-precision floating point (about 15–16 significant digits); some features use BigInt for large integers.
「负二进制解码（base −2 转十进制）」免费吗？需要注册吗？Is the Decode Negative Binary free? Do I need an account?
「负二进制解码（base −2 转十进制）」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 Decode Negative Binary is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.