You are confusing operations on a single bit with operations on a byte,or word.(Multiple bits) A single bit represents either 0 or 1 depending on its value. If you add two bits, and ignore the carry, you are adding "mod2". 0+0 = 0 0+1 = 1 1+0 = 1 1+1 overflows, or carries, and you have 0. this is exactly the same as XOR. However it is NOT true ...

I am studying Quantum Computing using the book Quantum Computation and Quantum Information of Michael Nielsen and Isaac Chuang. I am confused by the meaning of the $\\oplus$ (addition modulo 2) symb...

Jun 20, 2022 · Lucky enough, your case is quite easy. The language is defined by the rule "total number of letters, modulo 3, equals total number of a's, modulo 3".

Dec 3, 2019 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Feb 13, 2016 · "modulo" is an operator. For instance, we might say "19 and 64 are congruent modulo 5". "modulus" is a noun. It describes the 5 in "modulo

I can't explain this using MOD2 polynomial arithmetic theory, but I'll explain why this works in terms of the logic operations. I mentioned earlier 'the journey of a bit through the register' a number of times.

In the book "Computational complexity" of Barak and Arora, on page 112, they state that: Theorem 6.15: A language has logspace-uniform circuits of polynomial size iff it is in P.