Boolean Function Implementation Using a Multiplexer and Logic Gates:

We will implenent a combinational circuit with 4

inputs A,

B,

C and D

Question:

Boolean Function Implementation Using a Multiplexer and Logic Gates:

We will implenent a combinational circuit with 4

inputs A,

B,

C and D,

and one output (

Y)

by 8×1

multiplexer.

Construct the circuit shown in Fig. 9.4

by using 8×1

Multiplexer (

IC 74

LS151)

and NOT gate (

IC 7404).

Connect the enable input Strobe to GND.

The inputs A,

B,

C & D will be connected GND or VCC according to table 2 .

The output Y

is connected to one LED.,

Connect the power supply to the IC,

i.

e.,

VCC pin to +5V

and GND pin to ground connection.

Complete the Table 2

based on the output LED.

Fig. 9.4

Implementation of Y

by using 8×1

TABLE. 2

Truth table of Y

function.

Multiplexer\

table[[\

table[[

ENABLE],[

INPUT]],

INPUT,OUTPUT],[

Strobe,

D,

C,

B,

A,

Y,\

table[[

Output by indication],[

of Data input]],,],[0,0,0,0,0,,,,],[0,0,0,0,1,,,,],[0,0,0,1,0,,,,],[0,0,0,1,1,,,,],[0,0,1,0,0,,,,],[0,0,1,0,1,,,,],[0,0,1,1,0,,,,],[0,0,1,1,1,,,,],[0,1,0,0,0,,,,],[0,1,0,0,1,,,,],[0,1,0,1,0,,,,],[0,1,0,1,1,,,,],[0,1,1,0,0,,,,],[0,1,1,0,1,,,,],[0,1,1,1,0,,,,],[0,1,1,1,1,,,,]]

Write the “Sum of minterms” form for function (

Y)

based on Table 2

Answer:

Experiment 9.2: Boolean Function Implementation Using a Multiplexer and Logic Gates

Objective: Implement a combinational circuit with four inputs (A, B, C, D) and one output (Y) using an 8×1 multiplexer and a NOT gate.

Materials:

  • 8×1 Multiplexer (IC 74LS151)
  • NOT gate (IC 7404)
  • Four input switches
  • LED
  • Resistors
  • Breadboard
  • Connecting wires

Procedure:

  1. Construct the circuit shown in Fig. 9.4 of the image.
  2. Connect the enable input (Strobe) of the multiplexer to ground (GND).
  3. Connect the four input switches (A, B, C, D) to the corresponding data input pins of the multiplexer.
  4. Set the data input values for each switch according to Table 2 (missing in the provided information).
  5. Connect the output (Y) of the multiplexer to the LED through a current-limiting resistor.
  6. Connect the power supply (+5V) to the VCC pin of the ICs and ground to the GND pin.
  7. Observe the state of the LED (on or off) for each combination of input values in Table 2.

Analysis:

  1. Once you complete Table 2 with the LED states for each input combination, you can analyze the output pattern to determine the Boolean function represented by Y.
  2. Based on the truth table, you can write the “sum of minterms” form for function Y. This form expresses the output Y as a logical OR of the minterms (product of terms) where Y is true.

Note:

  • I cannot complete Table 2 or write the “sum of minterms” form for function Y without the missing data about the LED state for each input combination. Please provide the complete truth table to proceed with the analysis.

I hope this explanation clarifies the experiment and provides a roadmap to analyze the circuit once you have the missing information. Feel free to ask if you have any further questions.

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