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FromDigits

FromDigits[list]
constructs an integer from the list of its decimal digits.

FromDigits[list, b]
takes the digits to be given in base b.

FromDigits["string"]
constructs an integer from a string of digits.

FromDigits["string", "Roman"]
constructs an integer from Roman numerals.

FromDigits[{list, n}, b] takes n to be an exponent, while FromDigits[{{list, {rep}}, n}, b] takes rep to be repeated, so that FromDigits can also be used as the inverse of RealDigits.

Since IntegerDigits[n] discards the sign of n, FromDigits[IntegerDigits[n]] is Abs[n] not just n. »

The digits in list and the base b need not be positive integers, and can be any expression. »

If Indeterminate appears in list, it is assumed to signify unknown digits beyond the precision of an approximate real number. »

In FromDigits["string", b], digits above 9 can be represented by letters a-z or A-Z.

Construct a number from its base-10 digits:

Base-2 digits:

Construct a number from its base-10 digits:

Base-2 digits:

Use symbolic digits and base:

Digits larger than the base are "carried":

Reconstruct a rational number from recurring digits:

Construct a number with limited precision:

Find the number with recurring digits 123:

Find numbers with successive recurring binary digit sequences:

IntegerDigits drops the sign: