What is the result of a XOR B XOR C?

Because if a = b = c, “a xor b” gives false (or 0), and “b xor c” gives false (or 0) as well, and since false = false, the result is false. The same if a <> b <> c: “a xor b” gives true, and “b xor c” gives true, but true = true so the result is false.

What is the meaning of a XOR B?

This is sometimes thought of as “one or the other but not both”. This could be written as “A or B, but not, A and B”. Since it is associative, it may be considered to be an n-ary operator which is true if and only if an odd number of arguments are true. That is, a XOR b XOR may be treated as XOR(a,b,…).

What is the minimum number of NOR gates required to realize an XOR gate?

The number of 2-input NAND gates required to implement a 2-input XOR gate is 4.

Logic Gates	Min. number of NOR Gate	Min. number of NAND Gate
NAND	4	1
NOR	1	4
Half-Adder	5	5
Half-Subtractor	5	5

Is XOR gate a basic gate?

These gates are not basic gates in their own and are constructed by combining with other logic gates. Their Boolean output function is significant enough to be considered as a complete logic gate. The XOR and XNOR gates are the hybrids gates.

What is a XOR B XOR B?

So “a xor b” is true if a and b are different, and “b xor c” if b and c are different. So the full expression is only true (or 1) if b equals either a, or c, but not both. Because if a = b = c, “a xor b” gives false (or 0), and “b xor c” gives false (or 0) as well, and since false = false, the result is false.

Is a XOR B XOR C equal to a XNOR B Xnor C?

You have written the expression for the case where you use two 2-input XNORs. A 3-input XNOR is ~(A xor B xor C) and is very different from ((A xnor B) xnor C) which is equivalent to ~( ~(A xor B) xor C) . Yes… for all odd inputs ..

What is XOR gate and XNOR gate?

There are two remaining gates of the primary electronics logic gates: XOR, which stands for Exclusive OR, and XNOR, which stands for Exclusive NOR. In an XOR gate, the output is HIGH if one, and only one, of the inputs is HIGH. An XNOR gate is an XOR gate whose output is inverted.

How do you make a gate without XOR gate?

An xor gate will be asserted true, when the number of ones at the input is an odd number. Therefore, we can turn the XOR gate into a not gate, by allowing the output to be 0 when our input is 1 (Even 1s), and output to be 1 when our input is 0 (odd 1s). We can do this by wiring one input to 0, and the other input to 1.