Mon Prof Augmenté
Two-State Columns
Age 11 · Maths
A number can be shown with columns that double at each step: 1, 2, 4, 8. Each column is either on with balls or off, and the on columns add together.
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Age 11: open this week
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In the picture
- The single glowing ball: one unit in the 1s place.
- The pair of glowing balls: two units in the 2s place.
- The unlit bulb beside the third column: the 4s place is off.
- The unlit bulb beside the fourth column: the 8s place is off.
Examples
- Light switches that are either on or off.
- A digital clock using lit and unlit segments.
Key takeaways
- Each column is worth twice the column before it.
- Only the columns that are on are added to make the number.
Quiz: Two-State Columns (Age 11)
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What is each column worth compared with the column just before it?
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If the 1s, 2s, and 4s columns are on and the 8s column is off, what number do they make?
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In this way of showing numbers, what are the two states a column can be in?
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