exp2, exp2f, exp2l

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< c‎ | numeric‎ | math
Common mathematical functions
Basic operations
Exponential functions
Power functions
Trigonometric and hyperbolic functions
Error and gamma functions
Nearest integer floating point operations
Floating point manipulation functions
Macro constants
Defined in header <math.h>
float       exp2f( float n );
(1) (since C99)
double      exp2( double n );
(2) (since C99)
long double exp2l( long double n );
(3) (since C99)
Defined in header <tgmath.h>
#define exp2( n )
(4) (since C99)
1-3) Computes 2 raised to the given power n.
4) Type-generic macro: If n has type long double, exp2l is called. Otherwise, if n has integer type or the type double, exp2 is called. Otherwise, exp2f is called.


n - floating point value

Return value

If no errors occur, the base-2 exponential of n (2n
) is returned.

If a range error due to overflow occurs, +HUGE_VAL, +HUGE_VALF, or +HUGE_VALL is returned.

If a range error occurs due to underflow, the correct result (after rounding) is returned.

Error handling

Errors are reported as specified in math_errhandling.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

  • If the argument is ±0, 1 is returned
  • If the argument is -∞, +0 is returned
  • If the argument is +∞, +∞ is returned
  • If the argument is NaN, NaN is returned


#include <stdio.h>
#include <math.h>
#include <float.h>
#include <errno.h>
#include <fenv.h>
int main(void)
    printf("exp2(5) = %f\n", exp2(5));
    printf("exp2(0.5) = %f\n", exp2(0.5));
    printf("exp2(-4) = %f\n", exp2(-4));
    // special values
    printf("exp2(-9) = %f\n", exp2(-0.9));
    printf("exp2(-Inf) = %f\n", exp2(-INFINITY));
    //error handling
    errno = 0; feclearexcept(FE_ALL_EXCEPT);
    printf("exp2(1024) = %f\n", exp2(1024));
    if(errno == ERANGE) perror("    errno == ERANGE");
    if(fetestexcept(FE_OVERFLOW)) puts("    FE_OVERFLOW raised");

Possible output:

exp2(5) = 32.000000
exp2(0.5) = 1.414214
exp2(-4) = 0.062500
exp2(-9) = 0.535887
exp2(-Inf) = 0.000000
exp2(1024) = Inf
    errno == ERANGE: Result too large
    FE_OVERFLOW raised


  • C11 standard (ISO/IEC 9899:2011):
  • The exp2 functions (p: 242-243)
  • 7.25 Type-generic math <tgmath.h> (p: 373-375)
  • F.10.3.2 The exp2 functions (p: 521)
  • C99 standard (ISO/IEC 9899:1999):
  • The exp2 functions (p: 223)
  • 7.22 Type-generic math <tgmath.h> (p: 335-337)
  • F.9.3.2 The exp2 functions (p: 458)

See also

computes e raised to the given power (ex)
computes e raised to the given power, minus one (ex-1)
computes base-2 logarithm (log2(x))