What is a base conversion table?

A base conversion table is a reference chart that lists consecutive decimal numbers alongside their equivalent representations in other number systems, typically binary (base 2), octal (base 8), and hexadecimal (base 16). It is widely used by programmers and engineers as a cheat sheet.

How do I generate a custom range in the base conversion table?

Simply adjust the Start Value, End Value, and Increment Step fields in the range settings panel. You can generate tables starting from any value up to 1,000,000, with a maximum row count of 10,000 to maintain fast browser performance.

What is bit padding and how do I configure it?

Bit padding adds leading zeros to binary numbers to represent standard computer science word widths, such as 4-bit nibbles, 8-bit bytes, or 16-bit words. You can choose "None", "4-bit", "8-bit", or "16-bit" from our binary configuration options to format the binary outputs.

Can I export the base conversion table?

Yes. The generator supports copying the entire table directly to your clipboard in Markdown format (perfect for documentation or GitHub comments) or exporting the data as a downloadable CSV or JSON file.

Does the table support search and filters?

Yes. Enter a number or character in the Search field to dynamically filter the table. The search matches values across all bases (e.g., searching "1F" will find 31 in decimal and 11111 in binary).

What is the mini-converter at the top of the page?

The mini-converter is a fast-access utility. You can type a single number into any of the base fields (Decimal, Binary, Octal, or Hexadecimal) and see it instantly translated to all other bases, separate from generating a full table.

Is my data safe when using this base reference tool?

100%. Like all tools on our site, all parsing, calculations, and table generation are processed locally in your browser. No data is ever transmitted to external servers or logged.

Base Conversion Table

Generate custom, interactive number base reference charts instantly. Choose custom start values, end values, and increment steps to build a table of decimal numbers mapped to their binary, octal, hexadecimal, and ASCII character equivalents. Apply filters, highlight mathematical properties, download data as CSV/JSON, or copy as Markdown tables. Fits standard CS coursework and programming needs.

Base Conversion Table Generator

Analyze number mappings dynamically. Configure your starting value, ending range, padding parameters, and active column properties below.

Quick Mini-Base ConverterType in any field to convert instantly

Decimal (10)

Binary (2)

Octal (8)

Hexadecimal (16)

Decimal (10)	Binary (2)	Octal (8)	Hexadecimal (16)	ASCII Char	Roman Num
0	00000000	0	0	Control char	-
1	00000001	1	1	Control char	I
2	00000010	2	2	Control char	II
3	00000011	3	3	Control char	III
4	00000100	4	4	Control char	IV
5	00000101	5	5	Control char	V
6	00000110	6	6	Control char	VI
7	00000111	7	7	Control char	VII
8	00001000	10	8	Control char	VIII
9	00001001	11	9	Control char	IX
10	00001010	12	A	Control char	X
11	00001011	13	B	Control char	XI
12	00001100	14	C	Control char	XII
13	00001101	15	D	Control char	XIII
14	00001110	16	E	Control char	XIV
15	00001111	17	F	Control char	XV
16	00010000	20	10	Control char	XVI
17	00010001	21	11	Control char	XVII
18	00010010	22	12	Control char	XVIII
19	00010011	23	13	Control char	XIX
20	00010100	24	14	Control char	XX
21	00010101	25	15	Control char	XXI
22	00010110	26	16	Control char	XXII
23	00010111	27	17	Control char	XXIII
24	00011000	30	18	Control char	XXIV
25	00011001	31	19	Control char	XXV
26	00011010	32	1A	Control char	XXVI
27	00011011	33	1B	Control char	XXVII
28	00011100	34	1C	Control char	XXVIII
29	00011101	35	1D	Control char	XXIX
30	00011110	36	1E	Control char	XXX
31	00011111	37	1F	Control char	XXXI
32	00100000	40	20		XXXII
33	00100001	41	21	!	XXXIII
34	00100010	42	22	"	XXXIV
35	00100011	43	23	#	XXXV
36	00100100	44	24	$	XXXVI
37	00100101	45	25	%	XXXVII
38	00100110	46	26	&	XXXVIII
39	00100111	47	27	'	XXXIX
40	00101000	50	28	(	XL
41	00101001	51	29	)	XLI
42	00101010	52	2A	*	XLII
43	00101011	53	2B	+	XLIII
44	00101100	54	2C	,	XLIV
45	00101101	55	2D	-	XLV
46	00101110	56	2E	.	XLVI
47	00101111	57	2F	/	XLVII
48	00110000	60	30	0	XLVIII
49	00110001	61	31	1	XLIX
50	00110010	62	32	2	L
51	00110011	63	33	3	LI
52	00110100	64	34	4	LII
53	00110101	65	35	5	LIII
54	00110110	66	36	6	LIV
55	00110111	67	37	7	LV
56	00111000	70	38	8	LVI
57	00111001	71	39	9	LVII
58	00111010	72	3A	:	LVIII
59	00111011	73	3B	;	LIX
60	00111100	74	3C	<	LX
61	00111101	75	3D	=	LXI
62	00111110	76	3E	>	LXII
63	00111111	77	3F	?	LXIII
64	01000000	100	40	@	LXIV

Key Features of the Base Conversion Table

Custom Ranges & Step Increments

Generate base mapping lists from any start integer to an end value with custom steps (e.g. counting by 5s, 10s, etc.). Supports table outputs up to 10,000 rows.

Visual Property Highlighting

Instantly identify mathematical properties in the table grid. Highlight prime numbers, even numbers, odd numbers, or perfect squares with custom color markers.

Markdown & Data Exporting

Download your customized base reference sheet as a CSV or JSON file. Copy rows directly as a Markdown-formatted table, ready for markdown documentation.

Multi-Column Search Filters

Find values instantly. The search filter scans across decimal, binary, octal, and hexadecimal values to match sub-strings in real-time.

Common Use Cases for Base Conversion Table

Computer Science Education

A perfect study aid for students learning binary representation, hex configurations, two's complement, and number base conversions.

Firmware & Embedded Systems

Cross-reference register settings, pin configurations, and byte flags between binary bitfields and hex values while debugging microcontrollers.

Network Subnetting & IPs

Map IP addresses and network masks to binary octets, facilitating understanding of CIDR blocks, subnetting, and bitwise logic.

Digital Electronics Engineering

Validate logic gate transitions, encoder/decoder values, and truth tables by checking consecutive binary counters side-by-side.

Cheat Sheet Printing

Generate a tailored range (e.g. 0 to 255) and print a clean, paper-friendly sheet to use as an offline programmer's reference card.

Technical Documentation

Quickly copy a formatted Markdown grid of specific ranges and paste it directly into design documentation, code files, or wiki pages.

Understanding Number Bases & Conversions

What is a Number Base (Radix)?

A number base (or radix) is the number of unique digits, including zero, that a positional numeral system uses to represent numbers. In standard decimal (base 10), we count using 10 symbols (0–9). In computers, hardware is built on binary transistors which have only two states, representing base 2 (0 and 1). To write binary compactly, computer scientists use octal (base 8) and hexadecimal (base 16).

How Base Conversion Works mathematically

Any number in base b can be represented using positional weights. The position of each digit corresponds to a power of the base b.

Example: Converting Hexadecimal A4₁₆ to Decimal:

Assign values: In hex, A = 10, and the positions are weighted by powers of 16.
Equation: A4₁₆ = (10 × 16¹) + (4 × 16⁰)
Substitution: (10 × 16) + (4 × 1) = 160 + 4 = 164₁₀

Example: Converting Decimal 13 to Binary (Base 2):

We divide by 2 repeatedly and record the remainders (read from bottom to top):

13 ÷ 2 = 6, remainder 1 (Least Significant Bit)
6 ÷ 2 = 3, remainder 0
3 ÷ 2 = 1, remainder 1
1 ÷ 2 = 0, remainder 1 (Most Significant Bit)
Result: 13₁₀ = 1101₂

Base Conversion Quick Cheat Sheet

When working with microprocessors or network configurations, the following mappings are standard:

Decimal (Base 10)	Binary (Base 2)	Octal (Base 8)	Hexadecimal (Base 16)
0	0000	0	0
5	0101	5	5
9	1001	11	9
10	1010	12	A
15	1111	17	F
16	0001 0000	20	10
31	0001 1111	37	1F
255	1111 1111	377	FF

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Frequently Asked Questions About Base Conversion

These are positional numeral systems with different bases. Binary is base 2 (digits 0–1), octal is base 8 (digits 0–7), decimal is base 10 (digits 0–9), and hexadecimal is base 16 (digits 0–9 and letters A–F representing 10–15). Each system is useful in computing because of how computers structure memory using bits (binary), bytes (8-bit groups), and hex (representing 4 bits per character).

Binary numbers are very long and hard for humans to read. Since 8 (octal base) and 16 (hex base) are powers of 2 (2³ and 2⁴), they are directly compatible with binary. One hex digit represents exactly 4 binary bits (a nibble), and two hex digits represent an 8-bit byte. This makes hex and octal a compact, easily readable shorthand for binary memory states.

Bit padding prepends leading zeros to binary numbers to ensure they fit standard hardware register sizes. For example, without padding, decimal 5 is "101". With 8-bit padding, it is formatted as "00000101", making it clear how the number is stored in a standard byte of memory.

To prevent the browser from freezing when generating large lists, we limit the maximum rows in a single table to 10,000. You can set the start and end values to anything up to 1,000,000, but the difference between them (divided by the step size) should not exceed 10,000. For single-value lookups, there is no limit in the mini-converter.

ASCII values from 0 to 31, and value 127, represent control characters (like line break, tab, or backspace) that do not have a visual representation. The table will mark these as "Control character" or "Non-printable". Printable characters begin at decimal 32 (space) and end at decimal 126 (tilde ~).

Inside the table configuration options, there is a "Hex Letter Case" selector. You can switch between "Uppercase" (e.g. 1F, A4) and "Lowercase" (e.g. 1f, a4) to match your code styling guidelines.