# Tagged Questions

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### Can I use “XORing” in my thesis?

I'm currently writing my bachelor thesis and explain some algorithms where the XOR-operation is used. Can I use "XORing" or "XORed" in my thesis or is this too informal? For example: "xoring the ...
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### XOR two numbers

Is there an intuitive meaning of XOR of two numbers not involving binary and just decimal? Or is is always converted into binary and then XORed?
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### XOR of one-way function

Considering the top answer to the question “If xor-ing a one way function with different input, is it still a one way function?”… The function is no longer one-way. we build a counter example ...
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### Rewriting gates such as XOR into three basic gates? [closed]

How would I rewrite an XOR gate into the three basic logic gates (AND, OR, NOT). To be more specific, I have to write it in such a way with 2 NOT gates, 2 OR gates, and 1 AND gate. I also have to do ...
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### Is weighted XOR-SAT NP-hard?

Given $n$ boolean variables $x_1,\ldots,x_n$ each of which is assigned a positive cost $c_1,\ldots,c_n\in\mathbb{Z}_{>0}$ and a boolean function $f$ on these variables given in the form f(x_1,\...
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### Is 2-SAT with XOR-relations NP-complete?

I'm wondering if there is a polynomial algorithm for "2-SAT with XOR-relations". Both 2-SAT and XOR-SAT are in P, but is its combination? Example Input: 2-SAT part: ...
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### Express XOR with multiple inputs in zero-one integer linear programming (ILP)

In the below post, it is explained how to express xor of two variables as linear inequalities. Express boolean logic operations in zero-one integer linear programming (ILP) Naturally, the xor of ...
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### Is my simplified explaination of the XOR swap correct?

The XOR swap is a well-known in-place algorithm to swap two values, by XOR:ing them bitwise. It goes as follows: a = a ^ b b = a ^ b a = a ^ b Now, I was ...
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### Odd Parity Function [closed]

I am trying to define a Odd Parity Function that takes three 1 bit inputs and will output a 1 if the 3 bits are odd as a Boolean function. ...
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### How to construct this generalized xor without needing an extra vector?

Operator - Generalized Symmetric Difference If you take binary xor and generalize it to other radices you can do so by the absolute value of the difference of each element in a radix vector. However ...
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### Minimizing the full adder - where did this XOR come from?

When minimizing the full adder, I don't understand why $A(\bar{B}\bar{C} + BC)$ reduces to $A\overline{(B\oplus{C})}.$ $(\bar{B}\bar{C} + BC)\to (B\oplus{C})$ is partially decipherable, but why is \$(...