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The emergence of diverse wireless standards, employed in various transmission environments, is leading towards evolution of flexible radio platforms. In this letter, we are presenting the first universal Application Specific Instruction-set Processor (ASIP)-based flexible demapper component of a radio platform. The proposed architecture provides full flexibility ranging from low complexity QPSK Gray-mapped constellations to high complexity 256-QAM rotated constellations in turbo demodulation framework. The presented architecture provides the liberty to use this demapper both in iterative and noniterative receivers. Besides flexibility, ASIP synthesis results demonstrate a throughput of 606 Mega LLR per second for 16-QAM Gray-mapped constellation.