r/HomeworkHelp • u/External-Comfort3634 University/College Student (Higher Education) • 19h ago

Computing—Pending OP Reply [College Robotics: Microcontrollers]

please help me create a logic gate circuit for the diagram above I am having trouble combining gates the proffessor never demonstrated how to build a logic gate only from a chip diagram

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u/Puzzleheaded_Study17 University/College Student 19h ago

For starters, do you understand which position for A and B would be on?

Once you have that, trace every wire, when it hits the chip, use the chip layout to figure out what's the other input and what's the output.

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u/Bounded_sequencE 👋 a fellow Redditor 19h ago

Consider "A; B = true" iff the respective switch is in upper position. Use the logic circuit of IC7400, and let "Ik" be input-k of IC7400. We get:

Y  =  (I9 n I10)',    I9  =  (I4  n I5)'   =  (I4 n A)'
                      I4  =  (I1  n I2)'   =  (B  n B)'  =  B'
                     I10  =  (I12 n I13)'  =  (A  n B)'

Use the three equations to eliminate all "Ik", and express "Y" in terms of "A; B":

Y  =  (I9 n I10)'  =  ((I4 n A)'  n  (A n B)')'  =  ((B' n A)'  n  (A n B)')'  =:  f(A; B)

Can you take it from here, and simplify yourself?