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System using a 4:1 MUX that identifies whether a 4-bit number is prime

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Design a system using a 4:1MUX to identify whether a 4-bit number is prime
 

Re: Mux question

with four bit the possible prime no are 2,3,5,7,11,13

y = f(A,B,C,D) = ∑(2,3,5,7,11,13);

...........C __|\
..................| \
...........D __| |
.....C & D __| |------ Y
notC & D __| |
...................| /
...................|/
....................| |
....................A B

( To visible mux diagram i added excess .(dots) which doesn't signify any thing)

For the 4:1 mux give inputs as C, D, ( C and D) , ( (notc) and D) resply
and select inputs as A, B
out put is Y

Here A is MSB and D is LSB

[/img]
 

Re: Mux question

Hi basha_vlsi,

How did u arrive at the inputs .. I mean design of (C and D) ( not(C) and D).. Please elaborate.. it will be helpful..

thanks,
sp3
 

Re: Mux question

sp3 said:
Hi basha_vlsi,

How did u arrive at the inputs .. I mean design of (C and D) ( not(C) and D).. Please elaborate.. it will be helpful..

thanks,
sp3
Click to expand...

Draw a Karnaugh map using ABCD as variables and taking function y = f(A,B,C,D) = ∑(2,3,5,7,11,13);
Now solve it, for ~A~B(00) , you will get i0 (input i0 to the mux as C), For ~AB(01) you will get D as i1... Similarly solve it for i2, i3. Let me know if its still not clear.

There is one gr8 lecture on this. Check it out at :
YouTube - Lecture 29 - MULTIPLEXER BASED DESIGN
 

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