binary

(noun)

the bijective base-2 numeral system, which uses only the digits 0 and 1

Related Terms

Examples of binary in the following topics:

  • Bases Other than e and their Applications

    • These are $b = 10$ (common logarithm); $b = e$ (natural logarithm), and $b = 2$ (binary logarithm).
    • In this atom we will focus on common and binary logarithms.
    • Binary logarithm ($\log _2 n$) is the logarithm in base $2$.
    • For example, the binary logarithm of $1$ is $0$, the binary logarithm of $2$ is 1, the binary logarithm of $4$ is $2$, the binary logarithm of $8$ is $3$, the binary logarithm of $16$ is $4$, and the binary logarithm of $32$ is $5$.
    • The binary logarithm is often used in computer science and information theory because it is closely connected to the binary numeral system.

  • The Cross Product

    • The cross product is a binary operation of two three-dimensional vectors.

  • Logarithmic Functions

    • The binary logarithm uses base $b = 2$ and is prominent in computer science.
    • The definition tells us that the binary logarithm of ten is 3.3219 because two raised to the 3.3219th power is ten.

  • Exponential and Logarithmic Functions

    • The binary logarithm uses base $b=2$ and is prominent in computer science.