You are given a list of binary numbers [110011, 111010, 11011, 1110, 11000, 101010, 11110]. </br>You can freely choose any 2 numbers from this list. You have to choose them so that the XOR of those 2 numbers is minimized. What is the minimum XOR value possible?
Question
You are given a list of binary numbers [110011, 111010, 11011, 1110, 11000, 101010, 11110]. </br>You can freely choose any 2 numbers from this list. You have to choose them so that the XOR of those 2 numbers is minimized. What is the minimum XOR value possible?
Solution
To solve this problem, we need to understand how the XOR operation works. XOR stands for "exclusive or", and it's a binary operation that takes two bits and returns 1 if exactly one of the bits is 1, and 0 otherwise.
Here are the steps to solve the problem:
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Convert all the binary numbers to decimal. This is because it's easier to perform XOR operations on decimal numbers. Here are the decimal equivalents of the binary numbers:
- 110011 = 51
- 111010 = 58
- 11011 = 27
- 1110 = 14
- 11000 = 24
- 101010 = 42
- 11110 = 30
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Perform the XOR operation on every possible pair of numbers. This can be done using a nested loop. In Python, the XOR operation can be performed using the ^ operator.
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Keep track of the smallest result obtained from the XOR operations. This will be the minimum XOR value.
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Return the minimum XOR value.
This algorithm has a time complexity of O(n^2), where n is the number of elements in the list. This is because for each element in the list, we perform the XOR operation with every other element.
Note: The actual minimum XOR value will depend on the specific numbers in the list. The steps above describe how to find the minimum XOR value, but they don't provide the actual value.
Similar Questions
You are given a list of binary numbers [110011, 111010, 11011, 1110, 11000, 101010, 11110].You can freely choose any 2 numbers from this list. You have to choose them so that the AND of those 2 numbers is maximized. What is the max AND value possible?
You are given an array of integers. Find the sum of XOR of all pairs formed by the elements of the array.Input FormatThe first line of input contains T - the number of test cases. It's followed by 2T lines, the first line contains N - the size of the array. The second line contains the elements of the array.Output FormatFor each test case, print the sum of XOR of all pairs formed by the elements of the array, separated by a new line.Constraints20 points1 <= T <= 1001 <= N <= 10000 <= A[i] <= 10580 points1 <= T <= 1001 <= N <= 1050 <= A[i] <= 105ExampleInput335 12 854 10 54 11 8615 35 25 10 15 12Output52560680ExplanationTest-Case 1(5 ^ 5) = 0(5 ^ 12) = 9(5 ^ 8) = 13(12 ^ 5) = 9(12 ^ 12) = 0(12 ^ 8) = 4(8 ^ 5) = 13(8 ^ 12) = 4(8 ^ 8) = 0The sum of all the above xor products = 52
Given N, print the XOR of all numbers between (1-N).
You are given two integers n and x. You have to construct an array of positive integers nums of size n where for every 0 <= i < n - 1, nums[i + 1] is greater than nums[i], and the result of the bitwise AND operation between all elements of nums is x.Return the minimum possible value of nums[n - 1]. Example 1:Input: n = 3, x = 4Output: 6Explanation:nums can be [4,5,6] and its last element is 6.Example 2:Input: n = 2, x = 7Output: 15Explanation:nums can be [7,15] and its last element is 15. Constraints:1 <= n, x <= 108
smallest binary value that that is larger than 0.2410
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