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Inputs     Output 
A    B      F
0    0      C.D
0    1      C
1    0      C+D
1    1      C XOR D

According to the logic input-output relations

a-) Find the simple form of the F logic function. b-) Implement the F logic function with the decoder. c-) Implement the F logic function with the multiplexer.

Hello, I found examples on the implementation of the boolean function given on the internet. But I could not interpret this table. What are the C and D outputs, how will I find them and then I will simplify them.

I think it's easy to implement once you find a simple function.

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  • \$\begingroup\$ C and D are additional inputs to your system, while the A and B inputs select which function of C and D to present on the single output F. \$\endgroup\$
    – brhans
    May 1 at 8:45
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    \$\begingroup\$ So for example, when A and B are zero, will I use C and D gates? So how is the A 0 B 1 situation? And how do I simplify them? @brhans \$\endgroup\$
    – anxious engineer
    May 1 at 8:51
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    \$\begingroup\$ Or in other words, implement all the functions, then select one with a multiplexer driven by (A,B) inputs ... \$\endgroup\$
    – Antonio51
    May 1 at 8:52
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    \$\begingroup\$ If you don't know what a multiplexer is, see this en.wikipedia.org/wiki/…. \$\endgroup\$
    – Antonio51
    May 1 at 9:09
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    \$\begingroup\$ This exercise is a simple means to introduce later a general application which is an "Arithmetic and Logic Unit" or ALU used in all "computers". as @brhans stated, the simple circuit is a "big" logic realization with all variables A, B, C, D, case a-). With a multiplexer, it is case c-). Case b-) is another means to select the function (which is quasi "also" the case c-). \$\endgroup\$
    – Antonio51
    May 1 at 9:11

1 Answer 1

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Here an example (case b) you should understand, EE&O.
Made with free microcap v12

enter image description here

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  • \$\begingroup\$ thank you so much. \$\endgroup\$
    – anxious engineer
    May 1 at 16:13
  • \$\begingroup\$ Have used the link for case a-) ? \$\endgroup\$
    – Antonio51
    May 1 at 18:03
  • \$\begingroup\$ No ı havent used \$\endgroup\$
    – anxious engineer
    May 1 at 19:57

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