How would you implement the Boolean function using 8 1 mux?
The given function is in terms of minterms and is to be implemented using a 8:1 MUX. An 8:1 MUX has three select lines, whereas the given function is a 4 variable function. Hence a logic is needed to give combination of A as inputs while only B, C and D as select line inputs. The method for the same is described below.
How would you implement a Boolean function with multiplexer?
If the boolean expression has n+1 variables, we take only n variables as the selection line of the multiplexer. The remaining single variable is used as the inputs of the mux. In this way, any boolean expression having n variables can be implemented with 2n-1 to 1 multiplexer.
How do you implement an 8 to 1 multiplexer?
An 8-to-1 multiplexer consists of eight data inputs D0 through D7, three input select lines S0 through S2 and a single output line Y. Depending on the select lines combinations, multiplexer selects the inputs.
How do you implement a function using mux?
Implementation of SOP function using multiplexer
- Step 1: Draw the truth table for the given number of variable function.
- Step 2: Consider one variable as input and remaining variables as select lines.
- Step 3: Form a matrix where input lines of MUX are columns and input variable and its compliment are rows.
What you mean by multiplexer explain using implementation of logic function?
It is a combinational circuit which have many data inputs and single output depending on control or select inputs. Multiplexer can act as universal combinational circuit. All the standard logic gates can be implemented with multiplexers.
How can a multiplexer be used to implement a function?
How do you implement a Boolean function?
Logic gates implementation or logic representation of Boolean functions is very simple and easy form. The implementation of Boolean functions by using logic gates involves connecting output of one logic gate to the input of another gate. Commonly used Logic Gates are: AND, OR, NAND and NOR gates.
How many and gates are required for a 1 to 8 multiplexer?
For a 1 to 8 multiplexer a total of 8 AND gates are required.
How may inverters are needed to implement 4 1 multiplexer 1 marks?
Three(3) 2 : 1 MUX are required to implement 4 : 1 MUX.
How to implement Boolean function in multiplexer electrically?
Type #1 1 The first step is to select the multiplexer. If the given expression has n variables, then determine the multiplexer… 2 Connect the inputs, that correspond to the given minterms to logic 1. 3 Connect all the other inputs to the ground (logic 0). 4 Connect the input variables (P, Q, R) as the selection lines. More
How many variables are in a Boolean function?
In the given boolean expression, there are 3 variables. We should use 2 3 : 1 = 8 : 1 multiplexer. But as per the question, it is to be implemented with 4 : 1 mux. For 4 : 1 multiplexer, there should be 2 selection lines. So from the given 3 variables, the 2 least significant variables (B, C) are used as selection line inputs.
How many selection lines are needed for 8 : 1 multiplexer?
For 8 : 1 multiplexer, there should be 3 selection lines. So from the given 4 variables, the 3 least significant variables (B, C, D) are used as selection line inputs.
How is the expansion of a Boolean function represented?
SHANNON’S EXPANSION THEOREM – ’ is a method by which a Boolean function can be represented by the sum of two sub function of the original. Shannon expansion develops the idea that Boolean function can be reduced by means of the identity.
