High Dynamic Range (HDR) images contain more intensity levels than traditional image formats. Instead of 8 or 10 bit integers, floating point values are generally used to represent the pixel data. To extend the use of existing video codecs such as HEVC to HDR floating point video sequences, we propose a method that converts the floating point data and reduces the bit depth of input images with minimal loss. Several variants of the method are proposed. They are adapted to different quality requirements. In particular, near lossless compression is addressed.