Binary Numbers

Fill in a table of the numbers 0 to 16 in decimal and binary, discover rules about even numbers and powers of 2, and practise converting.

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Free, runs in the browser, no sign-in or installation.

Subject
Computer Science
Area
Data Representation
Level
Primary and secondary school
A table of 0 to 16 in decimal and binary and the conclusion about even and odd numbers

What you can do

  • Fill in the table step by step or by clicking question marks: first the binary column, adding 1 each time, then the sums of powers of 2.
  • Three questions lead to conclusions about even and odd numbers, powers of 2 and sums of powers of 2, with highlighting in the table.
  • Extend the table up to 31, 32, 63 or 64, write the powers as 2ⁿ, or mark the number system (1101₂, 13₁₀).
  • In Convert, type a decimal or binary number or click the bits, and see a sum of powers of 2 and repeated division by 2.
  • In Practice, convert random numbers from binary to decimal, the other way round or mixed, with checking, the method on request and a score.

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Lessons with worksheets that use this app.

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