Question: b) A modular-adder device 'M' operates with 16-bit registers. You give it two 16-bit natural numbers 'a' and 'b'. You know 'a', but you don't

b) A modular-adder device 'M' operates with 16-bit registers. You give

b) A modular-adder device 'M' operates with 16-bit registers. You give it two 16-bit natural numbers 'a' and 'b'. You know 'a', but you don't know 'b'. The device adds them, divides by 2^16, keeps the quotient 'q' a secret, and publishes the remainder 'r'. Hint: Before answering, experiment with small addition tables. i) If a = 19,473 and r = 62,787, what are 'b' and 'q'? ii) If a = 42,444 and r = 13,804, what are 'b' and

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