NAME

Math::NumSeq::MathImageRadixConversion -- radix conversion

SYNOPSIS

use Math::NumSeq::MathImageRadixConversion;
my $seq = Math::NumSeq::MathImageRadixConversion->new (radix => 2,
                                                       to_radix => 10);
my ($i, $value) = $seq->next;

DESCRIPTION

This is integers converted from one radix to another. The default is binary converted to decimal,

0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, ...

For example i=3 in binary is 0b11 which is interpreted as decimal for value 11, ie. eleven.

The radix parameter is the from radix, and to_radix what it's converted to.

When radix < to_radix the effect is to give all integers which in to_radix use only the digits of radix. So the default is all integers which in decimal use only the binary digits, ie. 0 and 1.

When radix > to_radix the conversion is a reduction. The calculation is still a breakdown and re-assembly

dk*radix^k + d2*radix^2 + ... + d1*radix + d0 = i
value = dk*to_radix^k + d2*to_radix^2 + ... + d1*to_radix + d0

but with to_radix being smaller it's a reduction. For example radix=10 i=123 with to_radix=8 gives 1*8^2+2*8+3=83.

FUNCTIONS

See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.

$seq = Math::NumSeq::MathImageRadixConversion->new ()

$seq = Math::NumSeq::MathImageRadixConversion->new (radix => $r, to_radix => $t)

Create and return a new sequence object.

$value = $seq->ith($i)

Return $i as digits of base radix encoded in to_radix.

$bool = $seq->pred($value)

Return true if $value occurs in the sequence ...

SEE ALSO

Math::NumSeq, Math::NumSeq::DigitSum, Math::NumSeq::HarshadNumbers