What is the purpose of a common cathode in electronic circuits?

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1. i want to design a 2 bit full adder (that adds two numbers each having 2 bits) with carry in and carry out and to show the output on seven segment display..




3. the problem is that i am student in mechanical power and i am taking an electronics course..can you tell me what to do or some hints please..
 
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answer me pleaseee... what do i have to do ?
is there an ic called full adder or i have to make it with OR and AND gates ?
 
You can get a 4-bit full adder as an IC:

http://www.doctronics.co.uk/4008.htm
 
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Janus, can u tell me what to do please with my project ?
 
is there vcc and ground for the seven segment ?
 
what is the common cathode (3,8) ? does it means that these two pins (3,8) must be connected to the ground ?