Name– study of Boolean equations using the given ICs.
Aim – to study the manipulation of given equation into an equivalent logic circuit.
Apparatus – required ICs, circuit board, power supply +5V DC, LED, connecting wires, soldering iron, cutter etc.
Circuit diagram –
Draw the logic diagram of given equation (using basic gates only)
on left page of practical record book
with pin numbers of gates and output equation.
[attachment=13798]
[attachment=13799]
Procedure –
1) You are given a Boolean equation Y =
2) Draw the logic diagram for the above equation and list the required gates along with their ICs. Read the theory for understanding the method.
3) Reduce the given equation using the laws of Boolean algebra and again draw the logic diagram.
4) Connect the circuit and connect final output of the circuit to the LED.
5) Test the output conditions for all possible input combinations.
6) Verify the output of the circuit by comparing the theoretical and experimental results.
7) Draw respective truth tables on left page of practical record book.
Brief Theory – use following procedure for the given logic equation. While drawing the logic diagram, use the rules given below –
a) In an equation, if we have a (+) sign, then use OR gate for it.
b) Similarly for (.) sign, use AND gate.
c) And for a complement (or a bar), use NOT gate.
d) While using these indications, first observe the given equation carefully. Then note down the number of (+), (.) and complement signs. Then count the number of different gates required and then draw the logic diagram for the given equation
Observed truth tables –
Draw theoretical and observed truth tables on left page of practical record book.
Conclusion – in this way, we have studied that –
1) For given equation –
2) For reduced equation –