Fabric with Electrical Components

One or more electrical components may be incorporated into a piece of fabric. The electrical component may include an internal portion that is located inside of the fabric, an external portion that is located on an exterior surface of the fabric, and protrusions that extend through the fabric to electrically and/or mechanically couple the internal and external portions of the electrical component. The internal portion of the component may be inserted into the fabric during formation of the fabric. The external portion of the component may be coupled to the internal portion after the fabric is formed by inserting the protrusions on the internal portion into recesses in the external portion. The external portion of the component may contain skin-facing and/or viewer-facing input-output devices, while the internal portion may contain circuitry that electrically communicates with the input-output devices in the external portion.