Knower knows knowledge in the sense that what all is known or is knowable by knower is the meaning of knowledge. Knowing is both by perception and hearsay. Information is the term generally used to denote or connote what is communicated or is communicable, referred to as hearsay or viewsay or audio-visual-say.
For knower to have and hold knowledge, information and communication, clearly it is necessary that the person has a mind, an intellect, a memory and is a 'self aware knower'. In addition the self aware knower needs to identify with a body with its brain and sense organs. But body, brain and sense organs are known similar to objects of knowledge such as of the world. They can be analysed separately from the person. Whereas, the mind, intellect, memory and 'self aware knower' are inseparable integral part of the concept of person. Knowledge, information and communication are also like objects and are analysable separately from the person. But nothing which is separable from person exists without the person who is inseparable from mind, intellect, memory and 'self aware knower.
Separable knowledge and information include what is communicated or is taken in as information by person. They appear only in mind of person, but can be represented by names and forms of objects by apparent separation from the person in the mind of the person. Visual and audible names, and forms that are used for representation of knowledge and information are called languages. They include morse code and binary digital language. Actions to create, communicate and know such languages require predisposition and latent tendencies in persons. Communicated visual forms and sounds of communication develop by habitual actions of body, brain and sense organs. The names and forms held unknown in communication are known only in mind and not outside it on blackboards, computer screens or TV monitors. Communication requires mind, intellect, memory and 'self aware knower' developed by habitual actions of body, brain and sense organs from childhood on. Such actions are generally termed training and education. The training and education needed to create missing predispositions and latent tendencies of the 'self aware knower' may take more than one lifetime to form; even though the self aware knower is unaware of his continuity over many lifetimes.
The question about limits to representation of knowledge and information in binary language cannot be answered in any philosophy lacking a fuller understanding of the person and his or her predispositions and latent tendencies.