四、圖四(a)與圖四(b)分別為輸入 (A)B 之 NAND（Y = ）邏輯閘電路符號與二進位半加法器真值表，其中 S 為 A 與 B 之和值，C 為進位。先寫出 C 與 S 的布林數學式，再以圖四(a)之雙輸入 NAND 閘實現半加法器，必須分析所設計的電路，使用其他邏輯閘不計分。（20 分）

一、英譯中：請將下面這段英文譯成正確、流暢的中文（30 分）The pervasive integration of smart surveillance in modern residential complexes has sparked a contentious debate over consumer privacy. While property managers advocate for heightened security, residents often object to the unconsented gathering of their biometric data. Under basic tort law, individuals possess a "reasonable expectation of privacy" in their domiciles, a right that technology constantly threatens to encroach upon. Users routinely click "agree" to lengthy terms of service, but this passive acquiescence does not necessarily constitute legally binding consent under scrutinized consumer protection frameworks. As regulatory bodies struggle to reconcile technological convenience with constitutional protections, consumers must remain vigilant, understanding that safeguarding digital privacy is no longer merely a personal preference, but a vital civil liberty.

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