Why the hell is it needed to know by heart how to convert from and to IEEE 754... at first university year.
Nobody ever manually calculates floating point numbers without using a computer which does the job.
There's no chance ever that you find yourself in a situation when you need to calculate a floating number in binary and there's no tools whatsoever which can help you out.
Understanding how to compute IEEE 754 numbers won't teach you barely shit about how computers work.
WHY.