The table lists every decimal value from 0 to 1000 alongside its representation in binary, octal, hexadecimal, and a configurable custom base. Each row is a complete cross-base lookup for a single decimal number.
Quick orientation:
Use the controls above the table to set a custom base, search for a specific decimal value, and paginate through the full range.
Using the Custom Base Input
The Custom Base (2-36) field lets you add a fifth column showing every decimal value in any base from 2 to 36.
How to use it:
2 and 36 into the input
10 upward use letters A-Z as digits, exactly like hexadecimal extends 0−9 with A-F
Reset to return the custom base to 5
Try base 3 to see ternary digits, base 20 to see how letters start appearing in the cells, or base 36 to see the densest representation supported.
Searching for a Specific Number
The Search Number field filters the table by decimal value.
Two search modes are supported:
Exact match: type a single number such as 255 to jump straight to that row
Substring match: type a partial digit sequence such as 99 to surface every decimal containing that sequence (99, 199, 299, 990, 991, ...)
Behavior notes:
0 to 1000 only; values outside the range show an error
1 on every new search
Reset to clear the search and return to the full 0-1000 range
Navigating Pages
The table shows 20 rows per page across the full 1001-value range, producing 51 pages when no search is active.
Pagination controls:
First jumps to page 1
Previous moves back one page
Next moves forward one page
Last jumps to the final page
The header row stays fixed while scrolling within the table container, so column labels remain visible even when paging through later sections of the range.
Reading the Color-Coded Columns
Each base column uses a distinct color to make scanning across rows easier:
Decimal in blue identifies the source value
Binary in green grows quickly in digit count — 1000 already needs 10 binary digits
Octal in purple is more compact than binary but still uses only numeric digits
Hexadecimal in red is the most compact of the fixed columns and introduces letters A-F for values 10-15
Custom Base in a highlighted background reflects the current base setting
Comparing column widths in any single row gives an immediate sense of how representational density changes with base size: higher bases use fewer digits to express the same value.
What Is a Number Base?
A number base (or radix) is the count of distinct digits a positional system uses to represent values. Base 10 uses ten digits (0-9); base 2 uses two (0, 1); base 16 uses sixteen (0-9 then A-F).
In any base b, each position represents a power of b. A digit sequence dndn−1…d1d0 in base b has the value:
dnbn+dn−1bn−1+…+d1b+d0
For example, the binary number 10112 expands as 1⋅23+0⋅22+1⋅21+1⋅20=11 in decimal.
For a deeper treatment of positional notation, see the number bases theory page.
Binary, Octal, and Hexadecimal
The three fixed columns of the table are the bases most used in computing:
Binary (base 2) is the native representation of digital hardware — each digit is a single bit
Octal (base 8) groups bits in threes; one octal digit equals three binary digits
Hexadecimal (base 16) groups bits in fours; one hex digit equals four binary digits
The grouping relationship makes octal and hex compact stand-ins for binary: 111111112=3778=FF16=25510. This is why memory addresses and color codes are written in hex rather than binary.
For full coverage, see the binary numbers page, octal numbers page, and hexadecimal numbers page.
How Base Conversion Works
Converting a decimal number N to base b uses repeated division:
N by b; the remainder is the lowest-order digit
N with the quotient and repeat
0; reading remainders bottom-up gives the digits
Example: converting 13 to base 2 gives remainders 1,0,1,1 read upward, so 1310=11012.
The reverse direction — base b to decimal — uses the positional expansion shown earlier: multiply each digit by the appropriate power of b and sum.
For step-by-step conversion with worked examples, see the base conversion theory page.
Related Tools and Concepts
Related Tools:
Base Converter - Convert a single value between any two bases without scanning a table.
Base Conversion Visualizer - Step through the repeated-division algorithm with visual digit accumulation.
Related Concepts:
Positional Notation - The principle behind every base in the table.
Binary Arithmetic - Addition, subtraction, and multiplication directly in base 2.
Two's Complement - How signed integers are represented in binary.
Bitwise Operations - Operations that act on the binary representation rather than the decimal value.