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Consider the following Boolean function of four variables:
The function is
The Kmap would be
So, the minimized expression would
be x'z + xz'.
So, option B.
Consider the following Boolean function of four variables
The function is
The simplified SOP (Sum of Product) from the Boolean expression
1s
Consider the 4to1 multiplexer with two select lines S_{1} and S_{0} given below
The minimal sumofproducts form of the Boolean expression for the output F of the multiplexer is
S0 and S1 are used to select the input given to be given as output.
Consider the following Boolean expression for F:
The minimal sum of products form of F is
Hence, option A is correct.
Consider the following minterm expression F for :
The minterms 2, 7, 8 and 13 are 'do not care' terms. The minimal sumofproducts form for F is
While putting the terms to Kmap the 3rd and 4th columns are swapped so do 3rd and 4th rows. So, term 2 is going to (0,3) column instead of (0,2), 8 is going to (3,0) instead of (2,0) etc..
Solving this kmap gives B) as the answer.
Consider the two cascade 2 to 1 multiplexers as shown in the figure .
The minimal sum of products form of the output X is
The output F of the below multiplexer circuit can be represented by
for n bit data select input
It is possible for an enable or strobe input to undergo an expansion of two or more MUX ICs to the digital multiplexer with the proficiency of large number of
It is possible for an enable or strobe input to undergo an expansion of two or more MUX ICs to the digital multiplexer with the proficiency of large number of inputs.
Consider a multiplexer with X and Y as data inputs and Z the as control input. Z = 0 selects input X, and Z = 1 selects input Y. What are the connections required to realize the 2variable Boolean function F = T + R, without using any additional hardware?
Z'X + ZY..
Put Z = T, X = R, Y = 1 in Z'X + ZY..
= T'R + 1*T
= (T+T') (T+R)
= T + R
The circuit shown below implements a 2input NOR gate using two 2 4 MUX (control signal 1 selects the upper input).
What are the values of signals x,y and z?
Suppose only one multiplexer and one inverter are allowed to be used to implement any Boolean function of variables.
What is the minimum size of the multiplexer needed?
2^{n  1}
We will map variables to select lines and variable to input line
The following circuit implements a twoinput AND gate using two 21 multiplexers.
What are the values of X1,X2,X3?
F = (bX1' + aX1)X3 + X2X3'
Put X_{1} = b, X_{2} = 0, X_{3} = a to get F = ab.
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