Calculator Inputs
Choose the source format, enter the needed values, then calculate the decimal equivalent.
Example Data Table
| Source Type | Input | Method | Decimal Equivalent |
|---|---|---|---|
| Binary | 1011.01 | 1×2³ + 0×2² + 1×2¹ + 1×2⁰ + 0×2⁻¹ + 1×2⁻² | 11.25 |
| Octal | 17.4 | 1×8¹ + 7×8⁰ + 4×8⁻¹ | 15.5 |
| Hexadecimal | 2A.F | 2×16¹ + 10×16⁰ + 15×16⁻¹ | 42.9375 |
| Fraction | 7/8 | 7 ÷ 8 | 0.875 |
| Mixed Number | 3 5/8 | 3 + 5÷8 | 3.625 |
| Percentage | 62.5% | 62.5 ÷ 100 | 0.625 |
| Scientific Notation | 4.2e3 | 4.2 × 10³ | 4200 |
Formula Used
Binary, Octal, and Hexadecimal
Decimal = Σ(digit × baseposition)
Use base 2, 8, or 16 and add every digit contribution.
Fraction
Decimal = numerator ÷ denominator
Divide the top number by the bottom number.
Mixed Number
Decimal = whole ± (numerator ÷ denominator)
Add or subtract the fractional part from the whole number.
Percentage
Decimal = percentage ÷ 100
Move the decimal point two places left.
Scientific Notation
Decimal = coefficient × 10exponent
Shift the decimal point according to the exponent.
Decimal
Decimal = value × 1
The number is already in decimal form.
How to Use This Calculator
- Select the source type you want to convert from.
- Enter the value, or enter fraction or mixed-number parts.
- Choose the output precision and display style.
- Click the calculation button to show the decimal result.
- Review the steps, formula, summary cards, and Plotly graph.
- Use the CSV or PDF buttons to export the result.
Frequently Asked Questions
1) What does this calculator convert?
It converts binary, octal, hexadecimal, fractions, mixed numbers, percentages, scientific notation, and decimal inputs into decimal form. It also shows steps, rounding output, and a visual graph.
2) Can I enter fractional binary, octal, or hex values?
Yes. Inputs such as 1011.01, 17.4, or 2A.F are accepted. The calculator evaluates both integer and fractional place values and adds all contributions.
3) How are percentages converted to decimals?
A percentage is divided by 100. For example, 35% becomes 0.35, and 125% becomes 1.25. This is the standard mathematical relationship between percent and decimal form.
4) Why does the rounded result differ from the exact decimal?
The exact decimal may have many digits. The rounded result follows the precision you selected. This helps when you want shorter output for homework, reports, or checking answers quickly.
5) Can I convert improper fractions and mixed numbers?
Yes. Improper fractions work in the fraction mode, and whole plus fractional values work in mixed-number mode. The calculator also shows the conversion process clearly.
6) What does the graph represent?
For base systems, the graph shows place-value contributions. For other formats, it shows how the decimal value looks at different rounding levels. This makes the result easier to interpret.
7) What scientific notation formats are supported?
You can use forms like 4.2e3 or 4.2×10^3. The calculator reads the coefficient and exponent, then multiplies by the correct power of ten.
8) Do the CSV and PDF buttons export the current result?
Yes. They export the current calculated summary, including the source type, normalized input, decimal equivalent, rounding settings, and calculation steps for easy sharing or saving.