# Why Binary Numbers

DigiMat introduces pre-school children to the world of numbers starting with binary numbers in symbolic form such the above with different cards (e g with 1, 2, 4, 8, 16 dots as above), or this one (click arrow to start, with green dot representing 1)

• green + green = yellow
• yellow + yellow   = red
• red + red = blue
• blue + blue = black

A child quickly learns to count with these symbols with the following representation of decimal numbers:

• 1 = green
• 2 = yellow
• 3 = yellow + green
• 4 =  red
• 5 = red + green
• 6 = red + yellow
• 7 =red + yellow + green
• 8 = blue
• 9 = blue + green
• 10 = blue + yellow
• 11 = blue + yellow + green
• 12 = blue + red
• 13 = blue + red + green
• 14 = blue + red + yellow
• 15 = blue + red + yellow + green
• 16 = black
• 17 = black + green
• et cet

A child also quickly learns to perform operations on binary numbers such as addition, subtraction and multiplication using the color symbols, even division.

A child is encouraged to invent other representations using other symbols such as for example animals of different size with mouse = 1, mouse + mouse = rat, rat + rat = cat, cat + cat = goat, goat + goat = cow, et cet:

A pre-school child thus can learn to use numbers in binary form to describe-simulate-understand-control the World. This can serve as a good start for mathematics education in general, and in particular gives a good preparation for dealing with the usual decimal numbers.

In addition, the computer computes with binary numbers, because of it is simpler than using decimal numbers, which is also an advantage for a child.

In Basic Mathematics 2-15 representation and counting with binary numbers comes to life in code-form. Go through these examples and learn basic coding and the essence of arithmetics in one shot!