Binary Code Basics
Explore the fundamentals of binary code, including converting between binary and decimal, and basic binary operations.
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Binary Code Basics
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for conversion problems.
1. What is the base of the binary number system?
10
2
8
16
2. What is the decimal equivalent of the binary number 1011?
9
11
13
15
3. The binary system uses only two digits: and . These are called .
4. To convert a decimal number to binary, you repeatedly divide the decimal number by and record the .
5. Convert the binary number 11010 to its decimal equivalent. Show your work.
6. Convert the decimal number 45 to its binary equivalent. Show your work.
7. The binary number 100 is equal to the decimal number 4.
True
False
8. In binary, each position represents a power of 10.
True
False
9. Explain why binary code is essential in computer science.
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