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view source for boolean algebra wikipedia jump to content main menu main menu move to sidebar hide navigation main page contents current events random article about wikipedia contact us contribute help learn to edit community portal recent changes upload file special pages search search appearance donate create account log in personal tools donate create account log in view source for boolean algebra add languages article talk english read edit view history tools tools move to sidebar hide actions read edit view history general what links here related changes upload file page information get shortened url switch to legacy parser in other projects wikidata item appearance move to sidebar hide boolean algebra you do not have permission to edit this page for the following reason this ip address range has been globally blocked this does not affect your ability to read wikipedia pages most people who see this message have done nothing wrong some kinds of blocks restrict editing from specific service providers or telecom companies in response to recent abuse or vandalism and can sometimes affect other users who are unrelated to that abuse review the information below for assistance if you do not believe that you have done anything wrong this block affects editing on all wikimedia wikis the ip address or range 5 135 0 0 16 has been globally blocked by jon kolbert for the following reason s open proxy webhost visit the faq if you are affected this block will expire on 04 29 8 january 2027 your current ip address is 5 135 42 194 even while globally blocked you will usually still be able to edit pages on meta wiki if you believe you were blocked by mistake you can find additional information and instructions in the stewards block wizard other useful links global blocks help i have been blocked you can view and copy the source of this page subsets as bit vectors a subset y of x can be identified with an indexed family of bits with index set x with the bit indexed by math x x being 1 or 0 according to whether or not math x y this is the so called indicator function characteristic function notion of a subset for example a 32 bit computer word consists of 32 bits indexed by the set 0 1 2 31 with 0 and 31 indexing the low and high order bits respectively for a smaller example if tmath 1 x a b c where mvar a b c are viewed as bit positions in that order from left to right the eight subsets c b b c a a c a b and a b c of x can be identified with the respective bit vectors 000 001 010 011 100 101 110 and 111 bit vectors indexed by the set of natural numbers are infinite sequence s of bits while those indexed by the real number reals in the unit interval 0 1 are packed too densely to be able to write conventionally but nonetheless form well defined indexed families imagine coloring every point of the interval 0 1 either black or white independently the black points then form an arbitrary subset of 0 1 from this bit vector viewpoint a concrete boolean algebra can be defined equivalently as a nonempty set of bit vectors all of the same length more generally indexed by the same set and closed under the bit vector operations of bitwise and as in math 1 1010 0110 0010 math 1 1010 0110 1110 and math 1 1010 0101 the bit vector realizations of intersection union and complement respectively return to boolean algebra retrieved from https en wikipedia org wiki boolean_algebra privacy policy about wikipedia disclaimers contact wikipedia legal safety contacts code of conduct developers statistics cookie statement mobile view search search view source for boolean algebra add languages add topic