Math Problem Statement

5 base 10 to binary

Solution

To convert the decimal number 5 to binary:

  1. Divide 5 by 2. The quotient is 2, and the remainder is 1.
  2. Divide 2 by 2. The quotient is 1, and the remainder is 0.
  3. 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:

  1. How do you convert other decimal numbers to binary?
  2. What is the binary representation of 10?
  3. How do you convert binary numbers back to decimal?
  4. What are the key rules for binary addition?
  5. 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