F is countable and contains a single copy of each of the finite fields GF(2 n); the copy of GF(2 n) is contained in the copy of GF(2 m) if and only if n divides m. GF(2) can be identified with the field of the integers modulo 2, that is, the quotient ring of the ring of integers Z by the ideal 2 Z of all even numbers: GF(2) = Z/2 Z. GF(2) is the field with the smallest possible number of elements, and is unique if the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual. The multiplication of GF(2) is again the usual multiplication modulo 2 (see the table below), and on boolean variables corresponds to the logical AND operation. The bitwise AND is another operation on this vector space, which makes it a Boolean algebra, a structure that underlies all computer science.

Notations Z 2 and Z 2 {\displaystyle \mathbb {Z} _{2}} may be encountered although they can be confused with the notation of 2-adic integers. The elements of GF(2) may be identified with the two possible values of a bit and to the boolean values true and false. Any group ( V,+) with the property v + v = 0 for every v in V is necessarily abelian and can be turned into a vector space over GF(2) in a natural fashion, by defining 0 v = 0 and 1 v = v for all v in V.All larger fields contain elements other than 0 and 1, and those elements cannot satisfy this property). This vector space will have a basis, implying that the number of elements of V must be a power of 2 (or infinite). GF(2) is the unique field with two elements with its additive and multiplicative identities respectively denoted 0 and 1.

The flight departs London, Heathrow terminal «4» on January 29, 09:30 and arrives Manama/Al Muharraq, Bahrain on January 29, 19:10. For example, matrix operations, including matrix inversion, can be applied to matrices with elements in GF(2) ( see matrix ring).

If your GF2 flight was cancelled or you arrived to Bahrain with a delay of 3 hours or more, you are entitled to 600€ in compensation, according to the EC 261/2004 regulation. Gulf Air Flight GF2 connects London, United Kingdom to Bahrain, Bahrain, taking off from London Heathrow Airport LHR and landing at Bahrain International Airport BAH.