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Need help with karnaughmap asap

need help asap

1.meaning of i-cube of a karnaugh map
2.which one is divisible by 11111011 a.11100111 b.11100100 c.11010111 d.11011011
3.what will be the size of ROM that is used to realize a 8X8 binary multiplier unit
4.example of a self dual?
5.what is 'minimisation theorem' for boolean alzebra
6.state one TTL IC used as magnitude comparator circuit
7.a 3 input majority gate is defined as the gate generates logic output 1 when max number of inputs are 1.design the gate.

I need solutions please! :confused:
 

(*steve*)

¡sǝpodᴉʇuɐ ǝɥʇ ɹɐǝɥd
Moderator
2) all of them (strictly speaking)

4) Hilbert spaces are self-dual normed vector spaces

5) You realise that a two-dimensional interior region-of-interest (ROI) can be exactly reconstructed via the total variation minimization if the ROI is piecewise constant, don't you?

But seriously... We're not going to do your homework for you. Tell us how far you've got and what you are stuck on.
 
Why are they divisible please give reasons..
these are not home works by the way..I got stuck on understanding these..SO I wish You all (respected member) might help
 

(*steve*)

¡sǝpodᴉʇuɐ ǝɥʇ ɹɐǝɥd
Moderator
Any two numbers are divisible, unless the divisor is zero.

The answer to your question depends on what your instructor meant in that question. If you can give me some more context then I may be able to give you more hints.
 

(*steve*)

¡sǝpodᴉʇuɐ ǝɥʇ ɹɐǝɥd
Moderator
AHA! 2's complement -- that makes all the difference.

I would suggest you convert them to decimal (change their signs first, that will make it easy)
 
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