Introduction to Binary Code
This worksheet introduces sixth-grade students to the concept of binary code, including converting between binary and decimal numbers.
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Introduction to Binary Code
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Read each question carefully and follow the instructions to answer. Show your work where requested.
Binary code is the language of computers. It uses only two symbols: 0 and 1. These are called 'bits'. Just like our decimal system uses powers of 10 (1, 10, 100, 1000...), binary uses powers of 2 (1, 2, 4, 8, 16...).
1. Binary code uses only two symbols: and . These are called .
2. In the binary system, we use powers of .
3. Which of the following is NOT a binary number?
101
1100
201
1
4. Convert the binary number 1011 to its decimal equivalent. Show your work.
5. Convert the binary number 110 to its decimal equivalent. Show your work.
6. Convert the decimal number 7 to its binary equivalent. Show your work.
7. Convert the decimal number 13 to its binary equivalent. Show your work.
8. The binary number 10 represents the decimal number 2.
True
False
9. Computers use the decimal system to process information.
True
False
10. What is the largest decimal number you can represent with 4 bits (four binary digits)? Explain your answer.
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