Binary Table Generator

* Generates a conversion table up to 256 rows max for performance.

Conversion Table

Decimal Binary Hex Octal
Reference Tables

Generate comprehensive binary conversion tables showing binary, decimal, hexadecimal, and octal equivalents for any range. Perfect as a quick reference for students, developers, and engineers.

5Number Systems
∞Precision
0msLatency

What is Binary Table Generator?

The Binary Table Generator creates comprehensive conversion reference charts showing binary, decimal, hexadecimal, and octal equivalents for any range of numbers. Instead of looking up values one at a time, you get a complete table that serves as a quick-reference guide.

This tool exists because conversion tables are indispensable in programming, digital electronics, and networking. Whether you need a quick reference for 4-bit nibble values, the full 8-bit byte range (0–255), or custom ranges for specific applications, this generator creates exactly the table you need — formatted and ready to use.

Students use these tables to spot binary counting patterns, developers reference them when debugging hex values, and network engineers rely on them for subnet calculations. Having an instant, customizable table generator saves significant time and reduces errors.

Interactive Demo

Binary Table Generator Formula

Watch the rightmost bit toggle with every count, the next bit toggles every 2 counts, then every 4, then every 8. This creates a fractal-like pattern in the binary counting sequence.

Counting Sequence (0–15)
0 0000
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
8 1000
9 1001
10 1010
11 1011
12 1100
13 1101
14 1110
15 1111
Flips every 8
Flips every 4
Flips every 2
Flips every 1
Interactive Table

Custom Range Generator

Generate a conversion table for any decimal range. See binary, octal, and hexadecimal equivalents side by side.

From
To
DecBinaryOctHex
Quick Reference

Boundary Values

Nibble Max
15
1111
Byte Max
255
11111111
Short Max
65,535
(16 ones)
Signed Byte
−128 to 127
10000000 to 01111111
ASCII Range
0 to 127
0 to 01111111
Int32 Max
2,147,483,647
(31 ones)
More

Other Number System Conversions

Related numeral systems converters for number conversion between binary, decimal, hexadecimal, octal, and ASCII text.

01→10 Binary to Decimal Converter 01.1→10 Binary Fraction to Decimal ±01→10 Signed Binary to Decimal 01→FF Binary to Hexadecimal 01→07 Binary to Octal N→N Binary Base Converter 01+01 Binary Calculator 01+01 Binary Addition 01−01 Binary Subtraction → 1,2,3 Step-by-Step Solver 01→A Binary to Text A→01 Text to Binary ±1.M×2ᴱ Floating Point Converter 8b→256 Bit Size Converter & | ^ ~ Bitwise Operations 01→? Binary Decoder
FAQ

Frequently Asked Questions

What is a binary conversion table?
A binary conversion table is a reference chart that shows the equivalent representations of numbers across different bases. Typically it lists binary (base 2), decimal (base 10), hexadecimal (base 16), and octal (base 8) values side by side. It's used for quick lookups during programming, studying, and debugging.
What are the binary values from 0 to 15?
0=0000, 1=0001, 2=0010, 3=0011, 4=0100, 5=0101, 6=0110, 7=0111, 8=1000, 9=1001, 10=1010, 11=1011, 12=1100, 13=1101, 14=1110, 15=1111. These 16 values correspond to one nibble (4 bits) and also map to hexadecimal digits 0-F.
How many values can n bits represent?
With n bits, you can represent 2ⁿ different values. 1 bit = 2 values, 2 bits = 4, 3 bits = 8, 4 bits = 16, 8 bits = 256, 16 bits = 65,536, 32 bits = 4,294,967,296, 64 bits = 18,446,744,073,709,551,616. For unsigned integers, the range is 0 to 2ⁿ-1.
Why do binary tables often show 8-bit (byte) values?
8 bits (one byte) is the standard unit of data storage in computing. A byte can represent 256 values (0-255) and stores one ASCII character. Most data formats, memory addressing, and communication protocols work in byte multiples. An 8-bit table covers the most commonly referenced range.
What patterns appear in binary conversion tables?
Several patterns emerge: the rightmost bit alternates 0-1 with each number, the second bit alternates every 2 numbers, the third every 4, etc. Powers of 2 (1, 2, 4, 8, 16…) always have exactly one 1-bit. Numbers one less than powers of 2 (1, 3, 7, 15, 31…) have all 1-bits.
How are binary tables used in networking?
Network engineers use binary tables for IP addressing and subnet masks. IPv4 addresses are 32-bit numbers written as four octets (bytes) in decimal. Understanding the binary representation is essential for subnetting — for example, a /24 subnet mask is 11111111.11111111.11111111.00000000₂ = 255.255.255.0₁₀.
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