Concatenation of Consecutive Binary Numbers - Practice Coding | SlaveCode
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1680. Concatenation of Consecutive Binary Numbers
Medium
30 Points
Math
Bit Manipulation
Simulation
Given an integer n, return the decimal value of the binary string formed by concatenating the binary representations of 1 to n in order, modulo 109 + 7.
Examples
Example 1
Input: n = 1
Output: 1
Explanation: "1" in binary corresponds to the decimal value 1.
Example 2
Input: n = 3
Output: 27
Explanation: In binary, 1, 2, and 3 corresponds to "1", "10", and "11".
After concatenating them, we have "11011", which corresponds to the decimal value 27.
Example 3
Input: n = 12
Output: 505379714
Explanation: The concatenation results in "1101110010111011110001001101010111100".
The decimal value of that is 118505380540.
After modulo 109 + 7, the result is 505379714.
Constraints
1 <= n <= 105
1680. Concatenation of Consecutive Binary Numbers
Medium
30 Points
Math
Bit Manipulation
Simulation
Given an integer n, return the decimal value of the binary string formed by concatenating the binary representations of 1 to n in order, modulo 109 + 7.
Examples
Example 1
Input: n = 1
Output: 1
Explanation: "1" in binary corresponds to the decimal value 1.
Example 2
Input: n = 3
Output: 27
Explanation: In binary, 1, 2, and 3 corresponds to "1", "10", and "11".
After concatenating them, we have "11011", which corresponds to the decimal value 27.
Example 3
Input: n = 12
Output: 505379714
Explanation: The concatenation results in "1101110010111011110001001101010111100".
The decimal value of that is 118505380540.
After modulo 109 + 7, the result is 505379714.