Chapter 14 · Numbering Systems 133 "And," "Or," or "Not" in that they operate on the number on a bit-by-bit basis, rather than by comparing the entire number. To explain, here are a few bitwise operations on two binary octets: 11111111 00001111 Bitwise AND 00001111 10101010 00001111 Bitwise AND 00001010 11111111 11110000 Bitwise AND 11110000 10101010 11110000 Bitwise OR 11111010 Computers can execute bitwise operations very quickly, so are often used in very low-level