chore(i8n,learn): processed translations
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Mrugesh Mohapatra
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---
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id: 5a23c84252665b21eecc7e80
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title: 格雷码
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title: Gray code
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challengeType: 5
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videoUrl: ''
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forumTopicId: 302276
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dashedName: gray-code
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---
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# --description--
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[格雷码](<https://en.wikipedia.org/wiki/Gray code>)是二进制编码的一种形式,其中连续数字之间的转换仅相差一位。这是一种有用的编码,用于减少硬件数据危险,其值快速变化和/或连接到较慢的硬件作为输入。从左到右或从上到下依次为[卡诺图](<https://en.wikipedia.org/wiki/Karnaugh map>)生成输入也很有用。创建一个函数来编码数字并解码格雷码中的数字。该函数应该有2个参数。第一个是布尔值。该函数应编码为true,解码为false。第二个参数是要编码/解码的数字。显示所有5位二进制数的正常二进制表示,格雷码表示和解码格雷码值(0-31包括0,不需要前导0)。有许多可能的格雷码。以下编码所谓的“二进制反射格雷码”。
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编码(MSB为0位,b为二进制,g为格雷码): <code><br>if b[i-1] = 1<br><span style='padding-left:1em'>g[i] = not b[i]</span><br>else<br><span style='padding-left:1em'>g[i] = b[i]</span><br></code>要么:
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`g = b xor (b logically right shifted 1 time)`
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解码(MSB为0位,b为二进制,g为格雷码):
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<code>b[0] = g[0]<br>for other bits:<br>b[i] = g[i] xor b[i-1]<br></code>
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[Gray code](https://en.wikipedia.org/wiki/Gray code) is a form of binary encoding where transitions between consecutive numbers differ by only one bit.
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This is a useful encoding for reducing hardware data hazards with values that change rapidly and/or connect to slower hardware as inputs.
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It is also useful for generating inputs for [Karnaugh maps](https://en.wikipedia.org/wiki/Karnaugh map) in order from left to right or top to bottom.
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# --instructions--
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Create a function to encode a number to and decode a number from Gray code. The function should will have 2 parameters.
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The first would be a boolean. The function should encode for true and decode for false. The second parameter would be the number to be encoded/decoded.
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Display the normal binary representations, Gray code representations, and decoded Gray code values for all 5-bit binary numbers (0-31 inclusive, leading 0's not necessary).
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There are many possible Gray codes. The following encodes what is called "binary reflected Gray code."
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Encoding (MSB is bit 0, b is binary, g is Gray code):
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<pre>if b[i-1] = 1
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g[i] = not b[i]
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else
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g[i] = b[i]
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</pre>
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Or:
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<pre>g = b xor (b logically right shifted 1 time)
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</pre>
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Decoding (MSB is bit 0, b is binary, g is Gray code):
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<pre>b[0] = g[0]<br>
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for other bits:
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b[i] = g[i] xor b[i-1]
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</pre>
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# --hints--
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`gray`应该是一个功能。
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`gray` should be a function.
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```js
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assert(typeof gray == 'function');
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```
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`gray(true,177)`应该返回一个数字。
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`gray(true,177)` should return a number.
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```js
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assert(typeof gray(true, 177) == 'number');
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```
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`gray(true,177)`应该返回`233` 。
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`gray(true,177)` should return `233`.
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```js
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assert.equal(gray(true, 177), 233);
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```
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`gray(true,425)`应该返回`381` 。
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`gray(true,425)` should return `381`.
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```js
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assert.equal(gray(true, 425), 381);
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```
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`gray(true,870)`应该返回`725` 。
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`gray(true,870)` should return `725`.
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```js
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assert.equal(gray(true, 870), 725);
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```
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`gray(false,233)`应该返回`177` 。
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`gray(false,233)` should return `177`.
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```js
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assert.equal(gray(false, 233), 177);
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```
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`gray(false,381)`应该返回`425` 。
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`gray(false,381)` should return `425`.
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```js
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assert.equal(gray(false, 381), 425);
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```
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`gray(false,725)`应该返回`870` 。
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`gray(false,725)` should return `870`.
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```js
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assert.equal(gray(false, 725), 870);
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