A single bit is essentially almost the same as a Boolean, with the exception that 1 is used in place of true, and 0 is used in place of false. Other than this distinction, all the Boolean operators carry the same meanings.
Conjunction (and) is usually denoted by the ∧ symbol in math equations. However, in computer and electronic engineering, it is represented by the ⋅ symbol. This means that the conjunction of bit x and bit y is represented as x ⋅ y. Sometimes it is abbreviated to simply xy.
Disjunction (or) is usually denoted by the + symbol. It is important to understand that this does not mean addition any more.
Negation (not) has several representations. The most common method to denote negation is to use an “overbar”. This means the negation of x is .