1. A device for generating random numbers, comprising: a bit generator for generating bits formed to generate a bit of a value 0 or 1 with a probability depending on a control quantity; a counter for determining a difference in the number of bits of values 0 and 1 generated, and for determining a difference value for bits output by the bit generator; a storage having a plurality of memory regions, wherein each memory region is associated with a difference value, wherein the storage is formed to store a bit output by the bit generator in the memory region associated with the difference value; and a reader for reading out the bits from a memory region if a predetermined number of bits is stored in the one of the memory regions.