Binary Code Basics
A Grade 8 math worksheet introducing students to binary code, covering conversion between binary and decimal, and basic binary operations.
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Binary Code Basics
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Read each question carefully and answer to the best of your ability. Show your work where applicable. Good luck!
What is Binary Code?
Binary code is a system of representing text or computer processor instructions by using the binary number system's two binary digits, 0 and 1. It is the language of computers.
Each position in a binary number represents a power of 2, starting from the rightmost digit as 2^0 (which is 1).
1. Binary code uses only two digits: and .
2. In binary, each position represents a power of .
3. The decimal number 5 is represented in binary as .
4. What is the decimal equivalent of the binary number 1010?
8
10
12
16
5. Which binary number represents the decimal number 7?
011
100
111
101
6. Convert the binary number 1101 to its decimal equivalent. Show your work.
7. Convert the binary number 10011 to its decimal equivalent. Show your work.
8. Convert the decimal number 13 to its binary equivalent. Show your work.
9. Convert the decimal number 25 to its binary equivalent. Show your work.
10. The binary number 111 is equal to the decimal number 6.
True
False
11. The decimal number 8 is represented as 1000 in binary.
True
False