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MatchCard:

MatchCard Information Pieces list binary numbers to 11,000,000. Two sets of flashcards (with and without decimal conversion numbers) are on the Technology Information Pieces. Games and activities listed below and on the Learning Activities sheet.

Click image to go to download.

This is **MatchCard #5** of the Technology Unit Study. Find more information on MatchCard Science below.

This story is fiction. Any resemblance to any real number, historical or modern, is coincidental. We'll start our introduction to number systems with this tale.

Okay, enough fiction. This is NOT how we got our decimal system which, in fact, was a brilliant advancement from the Middle East which allowed the average person to calculate numbers far faster than an accountant using the old Roman Numeral system.

1,2,3,10, 11, 12, 13, 20, 21, 22, 23, 30, 31, 32, 33, 100, 101, 102, 103, 110, 111, 112, 113, 120, 121, 122, 123, etc.

The point is that you never reach the mysterious “four” but have to add another place value. Base Four doesn’t have a whole lot of practical value to the average person except that:

- Hypothetically recognize that Base Ten is not the only number system that can be used
- Makes it much faster if your mom sends you to your room to count to 1000 (you didn’t hear me say that.)
- Makes the binary number system a little more comprehensible. And the Binary System is VERY important. (Hint: computers use it.)

The binary system is Base Two. You can’t say or write the number that comes after number 1. Whoa, that doesn’t give you a whole lot of numbers now, does it? In fact all you have are two: the zero and the one. (In case you didn’t notice it, Base Ten has ten numbers counting zero, and Base Four has four numbers counting zero.)

So how do you count in Base Two?

- 1
- 10
- 11
- 100
- 101
- 111

Give the student one of the numbers on the information piece. They have to lay out their card with the 0 or the 1 side facing up.

For instance the number 1011 would look like this:

A byte is a series of eight bits. The byte would be written as:

** 00001011**

- 1
- 2
- 4
- 8
- 16
- 32
- 64
- 128

The binary number is the large number and the decimal number is the small number below. Make sure the decimal numbers are lined up largest to smallest with the largest numbers to the left or it won’t work.

So what does this mean?

The binary number 101,011 is the same quantity as the decimal number 43 (32+8+2+1).

Roll the two dice (or draw two cards.) Write the number as a decimal number. Then use the binary cards you made (with the small decimal numbers beneath the one) and find what the number would be in the binary system.

For instance, the number 85 would be:

How do you find 85 (or any other number?)

Starting on the left side find the first number that is smaller or equal to the decimal number you want to represent. Turn that number up. Go to the next number just to the right of the first number you turned up.

If you add those two digits will the sum be larger than the decimal number you are trying to make? If no, turn it up. If yes, keep it at zero and go to the next number. Keep passing or turning up cards until you have the correct decimal number. The zero’s and one’s will give you your binary number.

MatchCards are like flashcards - but fun. Students learn and review all the major science concepts with one MatchCard for each objective. Learn how to set up a MatchCard Notebook with the free download of the MatchCard Science Instructor's Guide.

Review 5 objectives a day, three days a week and watch how their knowledge of science expands.

The technology unit study provides middle school studies with six different lessons to introduce them to beginning engineering and technology. Even the non-techies can have fun with these non-intimidating and practical lessons.

Download the complete Technology Unit Study for a four to six week course.

There's even more! MatchCard Science has a total of 12 unit studies comprising all major areas of science. Comprehensive objectives, reusable MatchCards, hands-on demonstrations, and suggested projects make MatchCard Science Unit Studies a rewarding science curriculum for students who like to get their hands into science.

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By Karen Newell Copyright© 2009 - 2018 Learn For Your Life All Rights Reserved

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