What is a standard application of a decoder in electronic systems?

In electronic systems, a decoder is specifically designed to transform binary numbers into a more user-friendly display format, such as activating a specific segment of a display or selecting among multiple outputs based on a binary input. This function allows the system to interpret and represent data in a way that humans can understand, particularly in devices like seven-segment displays, where binary input must be displayed in decimal format or similar.

Decoders take n input lines and produce 2^n output lines, ensuring that only one of those output lines is activated or 'selected' for each combination of the n input bits. This application is crucial in systems where visual representation of numbers or controls based on binary input is necessary.

Other options speak to different functionalities. For instance, signal strength boosting is unrelated to the primary function of a decoder, while converting binary to decimal typically refers to conversion mechanisms rather than decoding. Performing logical operations is more aligned with devices like multiplexers or gates, rather than decoders. Thus, transforming binary numbers to display formats is the correct and standard application of a decoder in electronic systems.