Binary Code Basics
A Grade 7 math worksheet focusing on understanding and converting binary code to decimal and vice versa.
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Binary Code Basics
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Read each question carefully and follow the instructions to convert between binary and decimal numbers.
Binary code is a numbering system that uses only two symbols: 0 and 1. It is the language that computers understand. Each '0' or '1' is called a bit. We will learn how to convert binary numbers to our everyday decimal numbers and vice versa.
1. Binary code uses only two digits: and .
2. Each digit in a binary number is called a .
3. The decimal system uses a base of , while the binary system uses a base of .
Convert the following binary numbers to decimal:
4. 1011₂
5. 11010₂
6. 100111₂
Convert the following decimal numbers to binary:
7. 13₁₀
8. 25₁₀
9. 42₁₀
10. Which of the following represents the decimal number 7 in binary?
101₂
110₂
111₂
100₂
11. The binary number 1000₂ is equal to the decimal number 8.
True
False