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Over many decades, information theoretic analysis has proven to be extraordinary useful in reimagining system architecture in diverse applications. Indeed, such analysis clarifies where information is and is not needed, and quantifies the impact of design constraints. Among other examples, this talk will focus on problems of acquisition and digital conversion of sensor data, which straddles the analog/digital interface. The lack of adaptability at this interface often necessitates considerable overprovisioning in contemporary systems, and leads to a significant bottleneck in the information pipeline. Highlighting efforts within and beyond the community, this talk will discuss some of what information theory reveals about what might be possible with respect to addressing these challenges, and about the prospects of learning at the edge.