# Binary Numbers #SENcomputing

When looking through the specification for the Entry Level Computing course, one area stuck out for me – how was I go to get a group of SEN students operating at Level 1-3 for Numeracy and Literacy to understand how to convert binary numbers to decimal numbers. Now the group I have does consist a wide range of needs on top of their learning difficulties and the reason they have chosen Computing is because they have a real flair with using ICT and computers but I still was worried about this.

What I want to share here is the excellent resources over at Computing Science Unplugged and in particular the use of dot cards to teach binary numbers. I knew about the resources from various sources and it was always at the back of my mind when thinking about how I was going to teach this. However, I was blown away at how quickly the students got the concept.

It involves using cards that have dots on one side and each card increases in the number of dots by multiplying the previous card by 2. With binary numbers there are only two numbers used 1/0 and this represent on and off. If the number is 1 then the corresponding card needs to turned to show the dots. The number of dots shown represents what the binary number is in denery. So for example 1010 = 10

I decided to start with just 4 cards to represent 4 bit numbers (each card represents a bit of data). I used large cards first and got the students up to hold the cards and talked through a few examples. Then then went to work on converting binary numbers to decimal by themselves using smaller cards for support. What was great was by the end of the lesson, the majority of students were able to convert from binary to decimal without the the support of the cards, just using their mental arithmetic to solve the answers. This was particularly impressive considering that many of the students at our school struggle with retaining information in their working memory.

The following lesson, I decided to increase the binary numbers to 5 – bit numbers and they once again they were able to convert the sums in their heads and were quick to be able to tell me the largest number they could make and we soon increased the number of bits to 6,7 then 8. They did struggle with 8 bit numbers but the fact that they pick this up so quickly with the use of such simple resource was great.

So have a look at the resources over at CS Unplugged as the are really great at explaining computer science concepts in a simple way that allows you to include all learners.

Posted on November 30, 2014, in Uncategorized and tagged binary, Computer science, computing, SEN. Bookmark the permalink. 2 Comments.

This was interesting for me because it helps me to visualize powers of two with dark circles so that when they are combined a cardinal number with the sum I need is the result. I work with bitwise functions that compute binary states of tones and beats and statements about them (http://wp.me/p5UdfJ-4), and when I have to do fast mental computations or proofs of musical theorems I need a method to quickly go from hexadecimal or sedenary to denary. Thanks for sharing, I think I will past this on. k

Thanks for your comment and glad you found it useful. It really is a simple way of teaching binary and my students picked it up quickly.