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Out= A'B'C+AB'C'+AC'A'+ABC
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How using two-input logic gates of your choice design a circuit to determine if two 3-bit numbers are the same or different?
Three 2-input XOR gates and one 3-input NOR gate will do the work. Connect each output of each XOR gate to one input of the 3-input NOR gate and apply the two 3-bit words to the inputs of the XOR gates. If X (X2X1X0) and Y(Y2Y1Y0) are two 3-bit words, X2 and Y2 will connect to one XOR gate, X1 and Y1 to the next XOR gate and X0 and Y0 to the last XOR gate. You could see the result of the operation on a LED connected to the output of the NOR gate. Other implementations are also possible of course. The solution above is absolutely correct, but includes a 3 input gate. If the task is to use only two input gates, then a small change will be needed. Take the outputs from any two XOR gates into a 2 input OR gate. Then take the output of the OR gate and the output of the third XOR gate into a 2 input NOR gate. The operation remains identical to the first solution but adheres to the brief of using gates with 2 inputs. In the real world, there is probably no reason to impose such a limitation on a design so the first solution would normally be the preferred route to take.
Operation of XOR gate?
An XOR (exclusive OR gate) has two inputs and one output. If only one of the inputs is at level 1, then the output is 1 otherwise the output is 0. The truth table looks like this: A B Out0 0 00 1 11 0 11 1 0 Exclusive OR represents in logic what "or" means in English; for example, if asked if you want tea or coffee it's usually meant that you can have one or the other - not both.
How do you construct other logic gates from nand gate?
NAND gates are universal gates and can be used to construct any of the logic gates (AND, OR, NOT, NOR, XOR, XNOR). The easiest way to figure this out is to use basic Boolean Laws. For instance, to create a NOT gate (A'), tie one of the NAND gate's input to logic high: (A+1)' = A'. To create an AND gate (AxB), use two NANDs in series, with the second one configured as an inverter: (AxB) = ((AxB)')'
Implement full subtractor with two half subtractors and OR gate?
You use the first HS with entries of x0 and y0 . then you get D0=X0 XOR Y0 and B0=X0 NOT*Y0.(*=AND) Then you use the sacond HS with entries of D0(from the first HS) and B-1(borrow from the previous level). then you get D1=X0 XOR Y0 XOR B-1(exactly like D in FS) and B1=D0 NOT*B-1. Then you use the OR gate with entries B0(from the first HS) and B1(from the second HS) and you get B=B0 OR B-1 AND D0 NOT. If you check the options you can get their similar to the borrow of FS
What circuit produces a high output when two inputs are unequal?
Not sure about the comparator. XOR is what I came up with, so we have two XORs. This is the "exclusive OR" logic function. Build one out of standard resistors and transistors, or buy an IC with the XOR function already implemented, or use four two-input NAND gates. At least that's the way we did it in the 1960s. In analog circuits, a comparator.
How do you write the Boolean expression for XOR gate?
For 2-input EX-OR gate, if one input is A, the other input is B, and the output is Y. Then the Boolean expression for EX-OR (XOR) function (gate) is Y=A⊕B The output Y is true if either input A or if input B is true, but not both.Y= ( (A and NOT B) or (NOT A and B) ) ;
Is oit possible to use three input in ic 7486?
If you look at the 7486 IC datasheet you can see, it have 4 independence XOR gates with 2 inputs. So you can only use 2 inputs if you see it like that. But if you understand the truth table of XOR gate you can have 3 input application using 7486 IC. Here I will show you how. 1.Get the first 2 input into the first XOR gate. 2.Then get the 3rd input together with the Output from the first 2 input XOR gate into another gate. 3.This output should be the result of 3 input XOR gate. Check this output with 3 input truth table to confirm the answer.
Why XOR and XNOR gate is not known as universal gates?
All other logic gates can be made using XOR and XNOR, but to get NOT, you need to do (input) XOR 1 or (input) XNOR 0, but with NAND, you don't need 1: (input) NAND (input).
How using two-input logic gates of your choice design a circuit to determine if two 3-bit numbers are the same or different?
Three 2-input XOR gates and one 3-input NOR gate will do the work. Connect each output of each XOR gate to one input of the 3-input NOR gate and apply the two 3-bit words to the inputs of the XOR gates. If X (X2X1X0) and Y(Y2Y1Y0) are two 3-bit words, X2 and Y2 will connect to one XOR gate, X1 and Y1 to the next XOR gate and X0 and Y0 to the last XOR gate. You could see the result of the operation on a LED connected to the output of the NOR gate. Other implementations are also possible of course. The solution above is absolutely correct, but includes a 3 input gate. If the task is to use only two input gates, then a small change will be needed. Take the outputs from any two XOR gates into a 2 input OR gate. Then take the output of the OR gate and the output of the third XOR gate into a 2 input NOR gate. The operation remains identical to the first solution but adheres to the brief of using gates with 2 inputs. In the real world, there is probably no reason to impose such a limitation on a design so the first solution would normally be the preferred route to take.
Why XOR gate and XNOR gate are not universial gate?
xor and xnor gates are derived from not gate
Is xor gate is derived gate?
yes... xor is derived gate from primary gates
Why the output of xor gate having inputs 111 is 0?
The out put of the xor gate is o when the input is 111 because of the inverter at the output of the or gate.A2XOR = Exclusive Or gate. This means that the output is only 'true', when only 1 of the inputs is 'true'. The exclusivity means that if another input is true, then the output stays 'false'. It will only switch on when only one input is on.
Making of X-nor gate with the help of ic?
the easiest way to make an xnor gate is with a 7486 (or equivalent) integrated circuit, a quad xor gate. connect the output of one gate to one in put of another gate. connect the other input of the second gate to Vcc. the second xor gate will then act as an inverter.
Truth table for 3 input xnor gate?
A, B and C are inputs, Q is output.A B C Q0 0 0 10 0 1 00 1 0 00 1 1 11 0 0 01 0 1 11 1 0 11 1 1 0*update*Although the Logism software shows the 3 input XNOR gate output 1 when all 3 are 1, perhaps there is a mistake, and 3 input of 1,1,1 in an XNOR gateoutputs 0. There is a good reason why. In an XOR gate, an even amount of 1 or 0 input will output a 0, and an odd input of 1 (ie: 1, 1, 1) will output a 1. The truth tablefor an XOR gate with 1, 1, 1 input is an output of 1. An XNOR gate will output the opposite of an XOR gate, thus XNOR input of1, 1, 1 should output 0.
Is xor gate is a universal gate?
No, XOR gate is a not a universal gate. There are basically two universal gates NAND and NOR.
What is a xor gate?
An XOR gate is an Exclusive OR gate. The output is 1 if either one or the other inputs are 1. but remains at 0 if both inputs are 1.A normal OR gate will output 1 if both inputs or either is at 1.XOR means exclusivly OR, one or the other but not both.
Operation of XOR gate?
An XOR (exclusive OR gate) has two inputs and one output. If only one of the inputs is at level 1, then the output is 1 otherwise the output is 0. The truth table looks like this: A B Out0 0 00 1 11 0 11 1 0 Exclusive OR represents in logic what "or" means in English; for example, if asked if you want tea or coffee it's usually meant that you can have one or the other - not both.
