binary

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.