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Showing content from https://en.cppreference.com/w/cpp/language/../keywords/../numeric/bit_width.html below:

std::bit_width - cppreference.com

template< class T >
constexpr int bit_width( T x ) noexcept;

(since C++20)

If x is not zero, calculates the number of bits needed to store the value x, that is, \(1 + \lfloor \log_2(x) \rfloor\)1 + floor(log2(x)). If x is zero, returns zero.

This overload participates in overload resolution only if T is an unsigned integer type (that is, unsigned char, unsigned short, unsigned int, unsigned long, unsigned long long, or an extended unsigned integer type).

[edit] Parameters x - unsigned integer value [edit] Return value

Zero if x is zero; otherwise, one plus the base-2 logarithm of x, with any fractional part discarded.

[edit] Notes

This function is equivalent to return std::numeric_limits<T>::digits - std::countl_zero(x);.

[edit] Example
#include <bit>
#include <bitset>
#include <iostream>
 
int main()
{
    for (unsigned x{}; x != 010; ++x)
        std::cout << "bit_width( "
                  << std::bitset<4>{x} << " ) = "
                  << std::bit_width(x) << '\n';
}

Output:

bit_width( 0000 ) = 0
bit_width( 0001 ) = 1
bit_width( 0010 ) = 2
bit_width( 0011 ) = 2
bit_width( 0100 ) = 3
bit_width( 0101 ) = 3
bit_width( 0110 ) = 3
bit_width( 0111 ) = 3
[edit] Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR Applied to Behavior as published Correct behavior LWG 3656 C++20 the return type of bit_width is the same as the type of its function argument made it int [edit] See also counts the number of consecutive ​0​ bits, starting from the most significant bit
(function template) [edit]

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