How to convert from decimal to binary?

Calculation Steps for the Integer part:

• Divide the decimal number by 2.
• Get the integer quotient and use it for the next iteration.
• Get the remainder and use it for the binary digit.
• Repeat the above steps until the quotient is equal to 0, or after a specified number of steps.

Steps to calculate the fractional part:

• Multiply the fractional part by 2.
• Take the integer part of the product as the fraction digit. Take the fractional part of the product for the next iteration.
• Repeat the steps above until the fractional part becomes 0, or stop after a number of steps if the fractional part does not become 0.

Example:

Convert 15.375₁₀ to binary:

Convert the integer part:

Convert the fraction part:

Result: 15.75₁₀ = 1111.011₂