Design a database for a school, with information about students, professors, and other staff. Each person is described by standard personal data. The database has to track of the academic history of students, archiving the classes attended and the final grades earned for each student for every year and subject. Professors can be full-time or adjuncts, and is described by the courses s/he can teach. The database has to manage information about the rooms: there are lecture rooms (associated with classes), labs (associated with subjects), and offices (generically associated with employees) Two species cannot have the same official name, even if the same name can be given to multiple species The E-R schema must include cardinalities for relationships, and attributes (where applicable), and identifiers.

When making changes to optimize part of a processor, it is often the case that speeding up one type of instruction comes at the cost of slowing down something else. for example, if we put in a complicated fast floating-point unit, that takes space, and something might have to be moved farther away from the middle to accommodate it, adding an extra cycle in delay to reach that unit. the basic amdahl's law equation does not take into account this trade-off. a. if the new fast floating-point unit speeds up floating-point operations by, on average, 2ă—, and floating-point operations take 20% of the original program's execution time, what is the overall speedup (ignoring the penalty to any other instructions)? b. now assume that speeding up the floating-point unit slowed down data cache accesses, resulting in a 1.5ă— slowdown (or 2/3 speedup). data cache accesses consume 10% of the execution time. what is the overall speedup now? c. after implementing the new floating-point operations, what percentage of execution time is spent on floating-point operations? what percentage is spent on data cache accesses?