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Given a binary representation in the form of a string(s) of a number n, the task is to find a binary representation of n+1.Note: Output binary string should not contain leading zeros.Example 1:Input: s = "10"Output: 11Explanation: "10" is the binary representation of 2 and binary representation of 3 is "11"Example 2:Input: s = "111"Output: 1000Explanation: "111" is the binary representation of 7 and binary representation of 8 is "1000"Your Task:  You don't need to read input or print anything. Complete the function binaryNextNumber()which takes s as input parameter and returns the string.Expected Time Complexity: O(n)Expected Auxiliary Space: O(n) to store resultant string  Constraints:1 <= n <= 105

Question

Given a binary representation in the form of a string(s) of a number n, the task is to find a binary representation of n+1.Note: Output binary string should not contain leading zeros.Example 1:Input: s = "10"Output: 11Explanation: "10" is the binary representation of 2 and binary representation of 3 is "11"Example 2:Input: s = "111"Output: 1000Explanation: "111" is the binary representation of 7 and binary representation of 8 is "1000"Your Task:  You don't need to read input or print anything. Complete the function binaryNextNumber()which takes s as input parameter and returns the string.Expected Time Complexity: O(n)Expected Auxiliary Space: O(n) to store resultant string  Constraints:1 <= n <= 105

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Solution

Here is a step-by-step solution to the problem:

  1. Convert the binary string to an integer: Python has a built-in function int() that can convert a binary string to an integer. You can use it like this: n = int(s, 2). The second argument 2 specifies that the string is a binary number.

  2. Increment the integer: Simply add 1 to the integer: n = n + 1.

  3. Convert the integer back to a binary string: Python has a built-in function bin() that can convert an integer to a binary string. You can use it like this: s = bin(n). This will return a string that starts with '0b' to indicate that it is a binary number.

  4. Remove the '0b' prefix: You can use Python's string slicing to remove the first two characters: s = s[2:].

  5. Return the result: The function binaryNextNumber() should return the binary string s.

Here is the complete function:

def binaryNextNumber(s):
    # Step 1: Convert the binary string to an integer
    n = int(s, 2)
    # Step 2: Increment the integer
    n = n + 1
    # Step 3: Convert the integer back to a binary string
    s = bin(n)
    # Step 4: Remove the '0b' prefix
    s = s[2:]
    # Step 5: Return the result
    return s

This function has a time complexity of O(n) and uses O(n) auxiliary space to store the resultant string, as required by the problem statement.

This problem has been solved

Similar Questions

Write a program that reads from the user 1 character representing a "1-digit" value in Hexadecimal Format. The program should print the corresponding BINARY representation of the input.For example:- '4' --> "0100".- '7' --> "0111".- 'A' --> "1010".The input values can be 0,1,2,3,...,A,B,C,D,E,F.

You are given a positive integer n.A binary string x is valid if all substrings of x of length 2 contain at least one "1".Return all valid strings with length n, in any order. Example 1:Input: n = 3Output: ["010","011","101","110","111"]Explanation:The valid strings of length 3 are: "010", "011", "101", "110", and "111".Example 2:Input: n = 1Output: ["0","1"]Explanation:The valid strings of length 1 are: "0" and "1".

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