An automated warehouse security system is designed to trigger an alert if at least two of its three environment sensors—Heat (HHH), Motion (MMM), and Sound (SSS)—are activated at the same time. This logic has been represented by the following Boolean expression, which contains an error:
(H⋅M)+(M⋅S)⋅(H⋅S) (H \cdot M) + (M \cdot S) \cdot (H \cdot S) (H⋅M)+(M⋅S)⋅(H⋅S)Select the correct algebraic expression for this security system.
(H⋅M)⋅(M⋅S)⋅(H⋅S)(H \cdot M) \cdot (M \cdot S) \cdot (H \cdot S)(H⋅M)⋅(M⋅S)⋅(H⋅S)
(H⋅M)+(M⋅S)+(H⋅S)(H \cdot M) + (M \cdot S) + (H \cdot S)(H⋅M)+(M⋅S)+(H⋅S)
(H‾⋅M)+(M⋅S)⋅(H⋅S)(\overline{H} \cdot M) + (M \cdot S) \cdot (H \cdot S)(H⋅M)+(M⋅S)⋅(H⋅S)
(H⋅M)⋅(M⋅S)+(H⋅S)(H \cdot M) \cdot (M \cdot S) + (H \cdot S)(H⋅M)⋅(M⋅S)+(H⋅S)
Practise AQA GCSE Computer Science Boolean logic with exam-style questions for GCSE Computer Science. 83 questions, matched to the AQA GCSE Computer Science (8525) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.