Transum Software

Binary Numbers

Learn how to convert numbers from decimal to binary and from binary to decimal.

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This level is about using fingers to represent binary digits. Each finger represents a different place value as shown here:

Some of the questions below show two hands. You will need to work out what the fingers on the other hand represent.

Did you know that you can count up to 31 using the fingers on just one hand? What is the largest number you can count up to using this binary method on two hands?

Type in the numbers (in base 10) that each of the diagrams below represent.

Check

This is Binary Numbers level 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 8

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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Answers

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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=993

Description of Levels

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Binary Lights - Visual aid with which you can practise.

Level 1 - Convert numbers 1 to 12

Level 2 - Convert numbers 13 to 24

Level 3 - Convert numbers 25 to 36

Level 4 - Convert numbers up to 63

Level 5 - Convert numbers without the lights

Level 6 - Convert binary numbers to decimal

Level 7 - Binary numbers with fingers

Level 8 - Binary arithmetic

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Visual Aid

Click the link below to find an interactive set of binary lights with which you can practise.

Transum.org/go/?Num=20

Visual Aid


Help Video

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

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