# Decimal to Binary Short Division Step-by-Step Calculator

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## Convert Decimal with Fraction to n-bit Unsigned Binary with Fraction Step-by-Step Calculator

Display Fraction Part as Binary Scientific Notation `(e.g., 0.101011 * 2^-5)`

## Decimal to Binary Fraction Step-by-Step Calculator

Question Examples:

Question 1: Convert 4 + 0.00012 = 4.00012 to a 16-bit unsigned binary fraction

Answer:

Display Fraction Part as Binary Scientific Notation `(e.g., 0.101011 * 2^-5)`
 Short Division Step-by-Step for Integer Part: 2 4 ...0 2 2 ...0 2 1 ...1
Binary for Integer Part:100
log(10-3)log(2) ≈ - 10
10-3 ≈ 2-10 (near 1024)
0.00012 = 0.00012 × 210210 = 0.12 × 10-3 × 210 = 0.12288 × 2-10
2-10 = 0.0000 0000 012
 Multiple by 2 for Fraction Part: 0.12288 x 2 = 0.24576 ...0 0.24576 x 2 = 0.49152 ...0 0.49152 x 2 = 0.98304 ...0 0.98304 x 2 = 1.96608 ...1

Fraction Binary: 0001
(Fraction end at bit 4 due to digit overflow, all digit available if Fraction Binary Bit = 0)
0.0001210 = .00012 × 2-10 = 100.0000 0000 00 00012