Well Abhishek, Your Effort is nice enough and it needs really hard work. According to my experience we can check the logics of the TTL or CMOS circuits with the help of Logic Testers but to redraw the circuit needs something like " Reverse Engineering" which requires an Oscilloscope with a number of input channels. But their is also a software tool is available which is used only with ALL11 "Universal Programmer". and due to its Universality it is much expensive but if ur institutional lab is strong enough u may have it in ur lab.
with the help of this tool you can even check the number and series of TTL, CMOS, OP-Amp and some other family chip.
To Check up the software Type the key words "ALL 11" in google search bar but be tricky. you me download this software but if u can afford you can buy its relative hardware from market