Computer Science
Grade 3
20 min
Binary Challenge: Creating a Binary Clock
Students will be challenged to design a simple binary clock using binary representation.
Tutorial Preview
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Introduction & Learning Objectives
Learning Objectives
Explain that computers use a special language called binary made of only 0s and 1s.
Identify the place values in a 4-bit binary number (1, 2, 4, 8).
Convert any number from 0 to 10 into its 4-bit binary form.
Read a 4-bit binary number and convert it back to a regular number.
Represent a number using an 'ON/OFF' model, like lights on a clock.
Describe how a sequence of binary numbers can show the passing of time, one second at a time.
Did you know that computers have a secret code that only uses two numbers, 0 and 1? 🤔 Let's learn to speak their language!
Today, we're going on a 'Binary Bonanza' adventure to unlock the secrets of 0s and 1s! We will learn how to count like a computer and discover how this special code can be...
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Key Concepts & Vocabulary
TermDefinitionExample
BinaryA special language that computers use. It only has two symbols: 0 (which means 'OFF') and 1 (which means 'ON').The number 2 in our language is written as '10' in binary.
BitA single piece of binary information. It's either one 0 or one 1.In the binary number 101, there are 3 bits.
Place ValueJust like in our numbers (1s, 10s, 100s), the spot where a bit is changes how much it's worth. In binary, the spots are worth 1, 2, 4, 8, and so on.In the binary number 1000, the '1' is in the 8s place, so it means 8.
ON / OFFAn easy way to think about binary. 1 means a light is ON, and 0 means a light is OFF.To show the number 5 (binary 0101), the 4s light and 1s light are ON, while the 8s and 2s lights are OFF.
Data Repres...
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Core Syntax & Patterns
Reading Binary (Right to Left)
8s | 4s | 2s | 1s <- Start here!
When you read a binary number, always start from the right side. The first spot is the 1s place, the next is the 2s place, then the 4s place, and then the 8s place. Each new spot to the left is worth double the last one.
Binary to Number Conversion
Add up the values of all the 'ON' bits (the 1s).
To figure out what number a binary code represents, look for all the 1s. Find their place values (1, 2, 4, or 8) and add only those values together. Ignore any place that has a 0.
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Challenging
A binary clock's '2' light for the minutes is broken and is always OFF. If the real time is 3:27, what time will the clock show?
A.3:26
B.3:25
C.3:27
D.3:29
Challenging
You code an AM/PM light with this rule: 'IF the hour is 12 OR MORE, the PM light is ON. Otherwise, the AM light is ON.' If the binary clock shows the hour as 10 (binary 1010), which light will be on?
A.The AM light
B.The PM light
C.Both lights
D.Neither light
Challenging
A binary clock uses 6 lights for minutes (1, 2, 4, 8, 16, 32). Why doesn't it need a light for 64?
A.The number 64 is too big to write.
B.Computers cannot count to 64.
C.The biggest number of minutes is 59, which is less than 64.
D.The 64 light is saved for the hours.
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