Explanation: Digitized RADAR systems convert the continuous 360-degree analog sweep into discrete digital segments to allow for processing and display. To provide sufficient angular resolution for practical applications, such as accurate target identification or weather mapping, a high number of segments is necessary. 4,096 segments provide a resolution of approximately 0.088 degrees per segment (360/4096). This level of detail enables precise tracking and clear visualization of targets. Options like 16, 64, or 255 segments would result in very coarse angular resolution, making the radar display largely impractical for detailed observation and significantly reducing its utility in navigation or meteorological applications. The number 4,096 (which is 2^12) is a common standard in digital systems for providing a practical balance between data resolution and processing requirements.