BUILT-IN MATHEMATICA SYMBOL

BaseForm

prints with the numbers in expr given in base n.

MORE INFORMATION

The maximum allowed base is 36. For bases larger than 10, additional digits are chosen from the letters -. »

You can enter a number in an arbitrary base using . »

When a number in an arbitrary base is given in scientific notation, the exponent is still given in base 10. »

You can mix BaseForm with NumberForm and related functions. »

BaseForm acts as a "wrapper", which affects printing, but not evaluation.

EXAMPLES

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Basic Examples (2)

A binary integer:

A binary real:

Represent single-digit hexadecimal numbers:

A binary integer:

In[1]:=

Out[1]//BaseForm=

A binary real:

In[2]:=

Out[2]//BaseForm=

Represent single-digit hexadecimal numbers:

In[1]:=

Out[1]//BaseForm=

Scope (5)

Represent a random number in bases 2 through 36:

A complex number formatted in base 3:

An arbitrary-precision number in base 5:

A vector of reals in base 8:

A matrix:

A mixed symbolic and numeric expression with numbers represented in base 12:

Properties & Relations (5)

Exponents are given in base 10:

Input a number in base 16:

Output in base 16:

BaseForm formats numbers in a given base:

IntegerDigits gives a list of the digits:

Convert back to base 10:

IntegerString gives the digits as a string:

Convert the string back to a base-10 number:

Format a real number in base 2:

RealDigits gives a list of the digits and number of digits to the left of the decimal:

Reconstruct the base-10 number from RealDigits output:

Convert a number to base 2:

Represent the number to be precise to 3 decimal digits using NumberForm:

The base must be an integer between 2 and 36:

Neat Examples (1)

Expansions in different bases can be terminating or non-terminating for the same number: