Introduction to Binary Numbers
A Grade 6 worksheet introducing students to the concept of binary numbers, converting decimal to binary, and binary to decimal.
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Introduction to Binary Numbers
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Read each question carefully and provide your answer in the space provided. Show your work where necessary.
What are Binary Numbers?
Binary numbers are numbers expressed in the base-2 numeral system, which uses only two symbols: 0 and 1. This system is the fundamental language of computers.
1. The binary number system uses only two digits: and .
2. The position of a digit in a binary number determines its .
3. The decimal number system is also known as the system.
Convert the following binary numbers to decimal numbers:
4. 101₂
5. 1101₂
6. 10010₂
Convert the following decimal numbers to binary numbers:
7. 7₁₀
8. 15₁₀
9. 20₁₀
10. What is the decimal equivalent of the binary number 11₂?
1
2
3
4
11. Which of the following is the binary representation of the decimal number 5?
100₂
101₂
110₂
111₂
12. The binary number 10₂ is equal to the decimal number 1.
True
False