Binary Numbers Worksheet
A Grade 10 math worksheet covering binary number representation, conversion between binary and decimal, and basic binary operations.
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Binary Numbers Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for conversion questions.
1. The binary number system uses a base of .
2. The two digits used in the binary system are and .
3. In the decimal system, each digit's position represents a power of .
4. What is the decimal equivalent of the binary number 1011?
7
9
11
13
5. Convert the binary number 11010 to its decimal equivalent.
6. Convert the decimal number 25 to its binary equivalent. Show your steps.
7. Convert the decimal number 42 to its binary equivalent. Show your steps.
8. When adding 1 + 1 in binary, the result is 10.
True
False
9. Binary multiplication follows the same basic rules as decimal multiplication, but only with 0s and 1s.
True
False
10. Perform the binary addition: 1011 + 110. Show your work.