maximum-possible-number-by-binary-concatenation

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Algorithms

You are given an array of integers <code>nums</code> of size 3.

Return the maximum possible number whose binary representation can be formed by concatenating the binary representation of all elements in <code>nums</code> in some order.

Note that the binary representation of any number does not contain leading zeros.

&nbsp;
Example 1:

<div class="example-block">
Input: nums = [1,2,3]

Output: 30

Explanation:

Concatenate the numbers in the order <code>[3, 1, 2]</code> to get the result <code>&quot;11110&quot;</code>, which is the binary representation of 30.
</div>

Example 2:

<div class="example-block">
Input: nums = [2,8,16]

Output: 1296

Explanation:

Concatenate the numbers in the order <code>[2, 8, 16]</code> to get the result <code>&quot;10100010000&quot;</code>, which is the binary representation of 1296.
</div>

&nbsp;
Constraints:

<ul>
	<li><code>nums.length == 3</code></li>
	<li><code>1 &lt;= nums[i] &lt;= 127</code></li>
</ul>

maxGoodNumber

Maximum Possible Number by Binary Concatenation

Concatenation of Consecutive Binary Numbers

concatenation-of-consecutive-binary-numbers

连接连续二进制数字

Bit Manipulation

Array

Enumeration

给你一个长度为 <code>3</code> 的整数数组 <code>nums</code>。

现以某种顺序 连接 数组 <code>nums</code> 中所有元素的 二进制表示 ，请你返回可以由这种方法形成的 最大 数值。

注意 任何数字的二进制表示 不含 前导零。

&nbsp;

示例 1:

<div class="example-block">
输入: nums = [1,2,3]

输出: 30

解释:

按照顺序 <code>[3, 1, 2]</code> 连接数字的二进制表示，得到结果 <code>"11110"</code>，这是 30 的二进制表示。
</div>

示例 2:

<div class="example-block">
输入: nums = [2,8,16]

输出: 1296

解释:

按照顺序 <code>[2, 8, 16]</code> 连接数字的二进制表述，得到结果 <code>"10100010000"</code>，这是 1296 的二进制表示。
</div>

&nbsp;

提示:

<ul>
	<li><code>nums.length == 3</code></li>
	<li><code>1 &lt;= nums[i] &lt;= 127</code></li>
</ul>