Binary to Hexadecimal Converter
Convert between binary, hexadecimal, decimal, and octal number systems instantly. Perfect for programmers, students, and digital electronics work.
Number System Converter
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Binary-Hex Reference
Number System Conversions
Step-by-Step Conversion
Bit Representation
Binary Breakdown
Number Properties
Common Binary-Hex Conversions
Powers of 2 Reference
Quick Conversion Table
Programming & Digital Electronics Resources
Digital Logic
Binary is fundamental to digital circuits. Each bit represents a voltage level (high/low) in electronic systems.
Programming
Hex is widely used in programming for memory addresses, color codes, and bitmask operations.
Memory Addressing
Memory addresses are typically represented in hexadecimal for compactness and easy conversion to binary.
Color Codes
Hexadecimal is used in web design for RGB color codes (#RRGGBB) where each pair represents red, green, and blue.
Number System FAQs
Why is hexadecimal used in programming?
Hexadecimal provides a compact way to represent binary data. One hex digit represents exactly 4 bits (a nibble), making it easy to convert between binary and hex. It's more human-readable than long binary strings while maintaining a direct relationship with the underlying binary data.
What's the difference between binary, decimal, and hexadecimal?
Binary is base-2 (digits: 0-1), decimal is base-10 (digits: 0-9), and hexadecimal is base-16 (digits: 0-9, A-F). Binary is used by computers, decimal by humans, and hexadecimal serves as a bridge between them in programming and digital systems.
How do I convert binary to hexadecimal quickly?
Group binary digits into sets of 4 from right to left (pad with leading zeros if needed). Then convert each 4-bit group to its corresponding hex digit using the reference table (0000=0, 0001=1, ..., 1111=F).
What is two's complement?
Two's complement is a mathematical operation used to represent signed integers in binary. To get the two's complement: invert all bits (ones' complement) and then add 1. This representation simplifies arithmetic operations in digital systems.
When should I use octal vs hexadecimal?
Octal (base-8) was more common in older systems and when working with 3-bit groupings. Hexadecimal is now more prevalent as it aligns perfectly with 4-bit and 8-bit bytes used in modern computing. Use hex for most programming work and octal only when specifically required.