Convertidor Decimal a Binario
Convertir números decimales a binario al instante
How Convertidor Decimal a Binario Works
A Decimal to Binary Converter is a mathematical translation utility used to turn standard numbers (Base-10) into machine code (Base-2). This tool is essential for computer science students, network engineers (subnetting), and anyone learning how CPU registers work understanding the fundamental "On/Off" logic of all digital electronics.
The conversion engine handles the math through a recursive division pipeline:
- Division: The tool takes your input (e.g., 10) and divides by 2.
- 10 / 2 = 5 (Remainder 0)
- 5 / 2 = 2 (Remainder 1)
- 2 / 2 = 1 (Remainder 0)
- 1 / 2 = 0 (Remainder 1)
- Assembly: It reads the remainders in reverse order:
1010. - Padding: Optionally, it pads the result to standard bit-widths (4-bit, 8-bit, 16-bit) like
00001010to simulate Real Memory Registers. - Verification: It converts back to ensure the math is perfect.
The History of Base-10 vs Base-2
Why don't computers use 10?
- Humans (10): We have 10 fingers, so Base-10 is natural for us.
- Computers (2): Circuits are easier to build if they only have two states (High Voltage / Low Voltage).
- Claude Shannon (1937): Proved that boolean algebra (True/False) could be mapped to electrical circuits, cementing Binary as the Universal Language of Computing.
Technical Comparison: Number Systems
Understanding the base is vital for IP Addressing.
| System | Base | Digits | Example (10) |
|---|---|---|---|
| Binary | 2 | 0-1 | 1010 |
| Octal | 8 | 0-7 | 12 |
| Decimal | 10 | 0-9 | 10 |
| Hex | 16 | 0-F | A |
By using this tool, you ensure your Network Math is error-free.
Security and Privacy Considerations
Your calculation is performed in a secure, local environment:
- Local Logical Execution: All math is performed locally in your browser. Your numbers never touch our servers.
- Zero Log Policy: We do not store or track your inputs. Your Homework and Subnet Calculations remain entirely confidential.
- W3C Security Compliance: The tool operates within the standard browser sandbox, ensuring no interaction with your local file system or Private Metadata.
- Privacy First: To maintain absolute Data Privacy, the tool functions as an anonymous utility.
How It's Tested
We provide a high-fidelity engine that is verified against IEEE 754 standards.
- The "Zero" Pass:
- Action: Input 0.
- Expected: Result is
0(or00000000).
- The "Max Int" Check:
- Action: Input 255.
- Expected: Result is
11111111(8 ones).
- The "Negative" Verification:
- Action: Input -5.
- Expected: Shows either the raw conversion (with sign) or the Two's Complement representation depending on mode.
- The "Fraction" Defense:
- Action: Input 10.5.
- Expected: The tool either rounds or calculates fixed-point binary
1010.1.
Technical specifications and guides are available at the Khan Academy Binary Lesson, the Refactoring.Guru Algorithms, and the Britannica entry on Arithmetic.
Frequently Asked Questions
Decimal (Base-10) is how humans count (0-9). Binary (Base-2) is how computers count (0-1). We need to convert because while we think in '5', the computer thinks in 101 (On-Off-On).