Math Problem Statement
5 base 10 to binary
Solution
To convert the decimal number 5 to binary:
- Divide 5 by 2. The quotient is 2, and the remainder is 1.
- Divide 2 by 2. The quotient is 1, and the remainder is 0.
- Divide 1 by 2. The quotient is 0, and the remainder is 1.
Now, read the remainders in reverse order: 101
So, the binary representation of the decimal number 5 is 101.
Would you like more details or have any questions?
Here are 5 related questions:
- How do you convert other decimal numbers to binary?
- What is the binary representation of 10?
- How do you convert binary numbers back to decimal?
- What are the key rules for binary addition?
- How can binary numbers be used in computer science?
Tip: In binary, each digit represents a power of 2, just like in decimal, each digit represents a power of 10!
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Math Problem Analysis
Mathematical Concepts
Number Systems
Binary Conversion
Formulas
Repeated division by 2 for decimal to binary conversion
Theorems
Positional notation for binary systems
Suitable Grade Level
Grades 5-7