Question

Please if possible give some reasoning on 5, thanks!

4. A bank vault has three locks with a different key for each lock. Each key is controlled by a different person. For the vault to open, at least two people must insert their key into their assigned lock. The signal lines A, B, and C are 1 if the appropriate key is inserted into lock 1, 2, or 3, respectively. Write an equation for the function F which is 1 if and only if (iff) the vault door should open. 5. Simplify and implement the function below using a 4-to-1 multiplexer and additional gates, if necessary. Use “A” and “B" as data select/control inputs and “C” as data input. Let "A" be the MSB. (Be sure to show the connections.) F(A, B, C) - 2m(0, 1, 4, 5,6) MUX Data select( A- selectaS Do D,

Answer 1

If you like my work please upvote ?

for reference

If you like work please up vote given let A, B, C be keys 1 rightarrow inserted 0 rightarrow not inserted F = sigma_m (3, 5, 6, 7) F = AB + AC + BC given F (A, B, C) = sigma_m (0, 1, 4, 5, 6) the function is of 3 select lines with 2^3 input to 1 output 8 times 1 mux but no to use A, B as select line and C as data input we choose as below F = sigma_m (0, 1, 4, 5, 6) 4 times 1 mox y = sigma_m (0, 1, 4, 5, 6) reference as C data input changes for every bit I'm fermentation of given logical expression theta: - f(A, B, C) = sigma_m(0, 1, 4, 6, 7)

As c data input changes for every bit