4. Numeration Systems

Converting Between Bases

4. Numeration Systems

Converting Between Bases: Videos & Practice Problems

Video Lessons

Concept

Change from Other Bases Below 10 to Base 10

Video duration:

Problem

Convert the following values to base 10.
$10110 sub 2$

$20$

$22$

$18$

$26$

Problem

Convert the following values to base 10.
$275 sub e i g of h of t$

$195$

$185$

$175$

$189$

Problem

Convert the following values to base 10.
$324 sub 6$

$122$

$130$

$124$

$106$

Concept

Change from Other Bases Above 10 to Base 10

Video duration:

Problem

Convert the following values to base 10.
$3 A sub 16$

$58$

$48$

$62$

$50$

Problem

Convert the following values to base 10.
$2 B sub t w e l v e$

$24$

$33$

$47$

$35$

Problem

Convert the following values to base 10.
$716 sub s i x t e e n$

$1806$

$1814$

$1914$

$1766$

Concept

Change from Base 10 to Other Bases

Video duration:

Problem

Convert each number from base 10 to the desired base.
$45$ into base $2$

$101011 sub 2$

$101101 sub 2$

$100101 sub 2$

$111001 sub 2$

Problem

Convert each number from base 10 to the desired base.
$83$ into base $8$

$123 sub 8$

$113 sub 8$

$143 sub 8$

$120 sub 8$

Problem

Convert each number from base 10 to the desired base.
$94$ int base $16$

$6 E sub 16$

$3 E sub 16$

$5 sub 16$

$5 E sub 16$

Example

Change from Base 10 to Other Bases Example 1

Video duration:

Your Liberal Arts Math tutors

Patrick Ford

Physics and Math Lead Instructor

Converting Between Bases: Videos & Practice Problems

Change from Other Bases Below 10 to Base 10

Convert the following values to base 10.10110210110_2

Convert the following values to base 10.275eight275_{eight}

Convert the following values to base 10.3246324_6

Change from Other Bases Above 10 to Base 10

Convert the following values to base 10.3A163A_{16}

Convert the following values to base 10.2Btwelve2B_{twelve}

Convert the following values to base 10.716sixteen716_{sixteen}

Change from Base 10 to Other Bases

Convert each number from base 10 to the desired base.4545 into base 22

Convert each number from base 10 to the desired base.8383 into base 88

Convert each number from base 10 to the desired base.9494 int base 1616

Change from Base 10 to Other Bases Example 1

Your Liberal Arts Math tutors

Convert the following values to base 10.
$10110 sub 2$

Convert the following values to base 10.
$275 sub e i g of h of t$

Convert the following values to base 10.
$324 sub 6$

Convert the following values to base 10.
$3 A sub 16$

Convert the following values to base 10.
$2 B sub t w e l v e$

Convert the following values to base 10.
$716 sub s i x t e e n$

Convert each number from base 10 to the desired base.
$45$ into base $2$

Convert each number from base 10 to the desired base.
$83$ into base $8$

Convert each number from base 10 to the desired base.
$94$ int base $16$