Convert Binary, Decimal, Octal and Hex Online
Switch number bases and inspect bit-level values clearly
0b0o0xType a number in any base — all others update instantly
Use this Number Base Converter to convert values between binary, octal, decimal and hexadecimal. It helps developers, computer science students, embedded engineers, network learners and technical teams understand numbers used in code, memory, colors, bitmasks, permissions and low-level data formats. Instead of converting values by hand or guessing how a decimal number maps to binary or hex, you can enter one value and review the equivalent forms side by side. This is useful when debugging bitwise operations, reading binary flags, checking hex values, learning number systems or explaining signed integer behavior.
How to Convert Between Number Bases
Type in any base — binary, octal, decimal, or hex — and all others update instantly.
Type in any base
Click into any of the four input fields and start typing. Decimal accepts 0-9 and negative numbers with a leading minus. Binary accepts 0 and 1. Octal accepts 0-7. Hexadecimal accepts 0-9 and A-F (case insensitive). As you type, all other fields update instantly. Invalid characters are ignored.
Read the binary breakdown panel
Below the binary field, a breakdown panel shows the number formatted as 4-bit nibbles (groups of four binary digits) for easy reading. It also displays the detected bit-length (8, 16, or 32 bits) based on the magnitude of your number, making it easy to verify alignment with data types like uint8, int16, or uint32.
Toggle two complement
Enable the Two complement toggle to see how a negative decimal number is represented in binary. For example, -1 in 8-bit two complement is 11111111 (all ones). This is the representation used by CPUs and programming languages for signed integers, and understanding it is essential for bitwise operation debugging.
Features
Converts numbers between binary, octal, decimal and hexadecimal
Updates equivalent values across all supported bases for quick comparison
Groups binary output into readable 4-bit nibbles
Shows how hexadecimal maps naturally to binary bit groups
Supports signed integer inspection with two's complement logic
Handles negative decimal values for low-level debugging workflows
Explains bit-length context for common integer representations
Helps decode bitmasks, flags, memory values and protocol fields
Supports large integer conversion for technical and learning use cases
Reduces manual errors when switching between numeric bases
What This Tool Helps You Do
Convert the same number across binary, octal, decimal and hexadecimal so you can understand how computers represent values at different levels. Decimal is easy for humans, binary is how bits are stored, and hexadecimal gives a compact view that maps neatly to binary.
This is useful when reading bitmasks, debugging low-level code, checking color values, learning number systems or verifying values copied from logs, memory tools or protocol documentation.
Why Base Conversion Matters
The important detail is that the value does not change — only the representation changes. Decimal 255, hex FF and binary 1111 1111 all describe the same number. Seeing them together helps you catch mistakes that are hard to spot when switching formats mentally.
Binary grouping also matters. Four bits make a nibble, and each nibble maps to one hex digit. That is why grouped binary is easier to compare with hex than one long string of 0s and 1s.
Practical Ways to Use This Tool
- Convert decimal values into binary for bitwise operations
- Turn hexadecimal values into decimal for debugging
- Break binary output into readable 4-bit groups
- Check two's complement representation for signed integers
- Understand octal values used in permission-related workflows
- Decode bit flags and masks from code or documentation
- Compare byte values used in colors, hashes or binary formats
- Pair file-permission learning with a chmod calculator
- Check generated checksums with a hash generator
- Use a color contrast checker after inspecting hex color values
What to Check Before Using the Result
For signed numbers, always check the intended bit width. The binary form of a negative number depends on whether you are using 8-bit, 16-bit, 32-bit or another size. A value that looks correct in one width may be wrong in another.
Also be careful with leading zeros. They may not change the numeric value, but they matter when showing fixed-width bytes, masks or protocol fields.
Common Mistakes to Avoid
- Reading a hex value as decimal without converting it
- Ignoring bit width when working with signed integers
- Dropping leading zeros that explain fixed-size binary data
- Confusing octal with decimal because both use familiar digits
- Assuming two's complement is only a math topic and not used in real debugging
- Comparing ungrouped binary strings and missing a changed nibble
- Forgetting that one hex digit equals exactly four binary bits
- Using converted values in code without checking expected data type size
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Frequently Asked Questions
What does a number base converter do?
A number base converter changes the same numeric value between systems such as binary, octal, decimal and hexadecimal. It helps you see how one value is represented in different formats used by computers and programming languages.
How do I convert decimal to binary?
Enter the decimal number and read the binary output. The binary result shows the same value using only 0 and 1, which is useful for bitwise logic and low-level debugging.
Can I convert hex to decimal?
Yes. Enter a hexadecimal value such as FF and the converter shows its decimal equivalent. Hex values are common in memory addresses, colors, hashes, binary data and debugging tools.
Does binary grouping into nibbles matter?
Yes. A nibble is a group of 4 bits, and one hex digit maps to exactly one nibble. Grouping binary this way makes long binary values easier to read and compare with hexadecimal.
Is octal still useful?
Octal is less common than decimal, binary and hex, but it still appears in Unix permissions, older systems and some low-level contexts. It is useful to understand when working with file modes or legacy data.
Why is two's complement important?
Two's complement is the common way computers represent signed negative integers in binary. It matters when debugging bitwise operations, overflow behavior or binary values copied from low-level systems.
When should I use hexadecimal instead of binary?
Use hexadecimal when binary is too long to read comfortably. Hex is compact but still maps cleanly to bits, so it is common for memory values, colors, byte data and masks.
What should I check when converting signed numbers?
Check the intended bit width, such as 8-bit, 16-bit or 32-bit. The same negative number can have different binary representations depending on the chosen width.
Can this help with programming exercises?
Yes. It is useful for learning number systems, checking homework, understanding bitwise operators and verifying binary or hex conversions while studying computer science.
Why do converted values sometimes need leading zeros?
Leading zeros may be needed to show a fixed bit width. For example, an 8-bit value may display as 00001111 instead of 1111 so the full byte structure is visible.
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