Binary Coding Basics - Grade 10 Math
Explore the fundamentals of binary coding, including conversion between binary and decimal systems, and basic binary operations.
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Binary Coding Basics
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Read each question carefully and provide your answers in the space provided. Show your work for conversion problems.
1. What is the base of the binary number system?
10
2
8
16
2. How many unique digits are used in the binary system?
1
2
8
10
3. The digits used in binary code are and .
4. A single binary digit is called a .
5. Convert the binary number 10110₂ to its decimal equivalent.
6. Convert the binary number 110011₂ to its decimal equivalent.
7. Convert the decimal number 25 to its binary equivalent.
8. Convert the decimal number 71 to its binary equivalent.
9. The binary number system is also known as base-2.
True
False
10. In binary, the digit '1' represents 'off' and '0' represents 'on'.
True
False
Match the term with its definition.
11. Bit
a. A group of 8 bits
12. Byte
b. A single binary digit (0 or 1)
13. Decimal
c. Base-10 number system