FREE TOOL · MATH

Binary, Hex & Decimal Conversion Chart

Convert any number 0–255 between decimal, 8-bit binary, hexadecimal, and octal — then scroll the complete 256-row reference chart with the ASCII character for every value. Print it, bookmark it, ace the exam.

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Convert decimal, binary & hex

On the default, decimal 72: binary 01001000, hex 0x48, octal 110 — the ASCII letter “H.”

How binary and hex actually work

Binary is base 2 — each column doubles: 128, 64, 32, 16, 8, 4, 2, 1. To read 01001000, add the “on” columns: 64 + 8 = 72. Hexadecimal is base 16 — each digit holds exactly 4 bits, so one byte is always two hex digits: 0100 1000 becomes 4 8, i.e. 0x48. That one-to-one mapping is why programmers reach for hex instead of long binary strings.

The nibble table: all 16 four-bit values

A nibble is half a byte — 4 bits, values 0–15, exactly one hex digit. Memorize this table and you can read any hex value as binary on sight.

Decimal	Hex	Binary (4-bit)
0	0	0000
1	1	0001
2	2	0010
3	3	0011
4	4	0100
5	5	0101
6	6	0110
7	7	0111
8	8	1000
9	9	1001
10	A	1010
11	B	1011
12	C	1100
13	D	1101
14	E	1110
15	F	1111

Powers of two: the byte and the 32-bit ceiling

Power	Value	Why it matters
2⁰	1	The ones column — the smallest bit.
2⁴	16	One hex digit’s range (0–15).
2⁷	128	The top bit of a byte.
2⁸ − 1	255	The biggest value one byte holds — 0xFF.
2¹⁶ − 1	65,535	Max unsigned 16-bit — old port-number ceiling.
2³¹ − 1	2,147,483,647	Max signed 32-bit — the 2038-problem number.

The complete 0–255 conversion chart

Every byte value: decimal, hex, 8-bit binary, octal, and the ASCII character it represents. Print this page and the chart travels with you.

Dec	Hex	Binary	Octal	ASCII
0	00	00000000	0	NUL
1	01	00000001	1	SOH
2	02	00000010	2	STX
3	03	00000011	3	ETX
4	04	00000100	4	EOT
5	05	00000101	5	ENQ
6	06	00000110	6	ACK
7	07	00000111	7	BEL
8	08	00001000	10	BS
9	09	00001001	11	TAB
10	0A	00001010	12	LF
11	0B	00001011	13	VT
12	0C	00001100	14	FF
13	0D	00001101	15	CR
14	0E	00001110	16	SO
15	0F	00001111	17	SI
16	10	00010000	20	DLE
17	11	00010001	21	DC1
18	12	00010010	22	DC2
19	13	00010011	23	DC3
20	14	00010100	24	DC4
21	15	00010101	25	NAK
22	16	00010110	26	SYN
23	17	00010111	27	ETB
24	18	00011000	30	CAN
25	19	00011001	31	EM
26	1A	00011010	32	SUB
27	1B	00011011	33	ESC
28	1C	00011100	34	FS
29	1D	00011101	35	GS
30	1E	00011110	36	RS
31	1F	00011111	37	US
32	20	00100000	40	space
33	21	00100001	41	!
34	22	00100010	42	"
35	23	00100011	43	#
36	24	00100100	44	$
37	25	00100101	45	%
38	26	00100110	46	&
39	27	00100111	47	'
40	28	00101000	50	(
41	29	00101001	51	)
42	2A	00101010	52	*
43	2B	00101011	53	+
44	2C	00101100	54	,
45	2D	00101101	55	-
46	2E	00101110	56	.
47	2F	00101111	57	/
48	30	00110000	60	0
49	31	00110001	61	1
50	32	00110010	62	2
51	33	00110011	63	3
52	34	00110100	64	4
53	35	00110101	65	5
54	36	00110110	66	6
55	37	00110111	67	7
56	38	00111000	70	8
57	39	00111001	71	9
58	3A	00111010	72	:
59	3B	00111011	73	;
60	3C	00111100	74	<
61	3D	00111101	75	=
62	3E	00111110	76	>
63	3F	00111111	77	?
64	40	01000000	100	@
65	41	01000001	101	A
66	42	01000010	102	B
67	43	01000011	103	C
68	44	01000100	104	D
69	45	01000101	105	E
70	46	01000110	106	F
71	47	01000111	107	G
72	48	01001000	110	H
73	49	01001001	111	I
74	4A	01001010	112	J
75	4B	01001011	113	K
76	4C	01001100	114	L
77	4D	01001101	115	M
78	4E	01001110	116	N
79	4F	01001111	117	O
80	50	01010000	120	P
81	51	01010001	121	Q
82	52	01010010	122	R
83	53	01010011	123	S
84	54	01010100	124	T
85	55	01010101	125	U
86	56	01010110	126	V
87	57	01010111	127	W
88	58	01011000	130	X
89	59	01011001	131	Y
90	5A	01011010	132	Z
91	5B	01011011	133	[
92	5C	01011100	134	\
93	5D	01011101	135	]
94	5E	01011110	136	^
95	5F	01011111	137	_
96	60	01100000	140	`
97	61	01100001	141	a
98	62	01100010	142	b
99	63	01100011	143	c
100	64	01100100	144	d
101	65	01100101	145	e
102	66	01100110	146	f
103	67	01100111	147	g
104	68	01101000	150	h
105	69	01101001	151	i
106	6A	01101010	152	j
107	6B	01101011	153	k
108	6C	01101100	154	l
109	6D	01101101	155	m
110	6E	01101110	156	n
111	6F	01101111	157	o
112	70	01110000	160	p
113	71	01110001	161	q
114	72	01110010	162	r
115	73	01110011	163	s
116	74	01110100	164	t
117	75	01110101	165	u
118	76	01110110	166	v
119	77	01110111	167	w
120	78	01111000	170	x
121	79	01111001	171	y
122	7A	01111010	172	z
123	7B	01111011	173	{
124	7C	01111100	174	\|
125	7D	01111101	175	}
126	7E	01111110	176	~
127	7F	01111111	177	DEL
128	80	10000000	200	extended
129	81	10000001	201	extended
130	82	10000010	202	extended
131	83	10000011	203	extended
132	84	10000100	204	extended
133	85	10000101	205	extended
134	86	10000110	206	extended
135	87	10000111	207	extended
136	88	10001000	210	extended
137	89	10001001	211	extended
138	8A	10001010	212	extended
139	8B	10001011	213	extended
140	8C	10001100	214	extended
141	8D	10001101	215	extended
142	8E	10001110	216	extended
143	8F	10001111	217	extended
144	90	10010000	220	extended
145	91	10010001	221	extended
146	92	10010010	222	extended
147	93	10010011	223	extended
148	94	10010100	224	extended
149	95	10010101	225	extended
150	96	10010110	226	extended
151	97	10010111	227	extended
152	98	10011000	230	extended
153	99	10011001	231	extended
154	9A	10011010	232	extended
155	9B	10011011	233	extended
156	9C	10011100	234	extended
157	9D	10011101	235	extended
158	9E	10011110	236	extended
159	9F	10011111	237	extended
160	A0	10100000	240	extended
161	A1	10100001	241	extended
162	A2	10100010	242	extended
163	A3	10100011	243	extended
164	A4	10100100	244	extended
165	A5	10100101	245	extended
166	A6	10100110	246	extended
167	A7	10100111	247	extended
168	A8	10101000	250	extended
169	A9	10101001	251	extended
170	AA	10101010	252	extended
171	AB	10101011	253	extended
172	AC	10101100	254	extended
173	AD	10101101	255	extended
174	AE	10101110	256	extended
175	AF	10101111	257	extended
176	B0	10110000	260	extended
177	B1	10110001	261	extended
178	B2	10110010	262	extended
179	B3	10110011	263	extended
180	B4	10110100	264	extended
181	B5	10110101	265	extended
182	B6	10110110	266	extended
183	B7	10110111	267	extended
184	B8	10111000	270	extended
185	B9	10111001	271	extended
186	BA	10111010	272	extended
187	BB	10111011	273	extended
188	BC	10111100	274	extended
189	BD	10111101	275	extended
190	BE	10111110	276	extended
191	BF	10111111	277	extended
192	C0	11000000	300	extended
193	C1	11000001	301	extended
194	C2	11000010	302	extended
195	C3	11000011	303	extended
196	C4	11000100	304	extended
197	C5	11000101	305	extended
198	C6	11000110	306	extended
199	C7	11000111	307	extended
200	C8	11001000	310	extended
201	C9	11001001	311	extended
202	CA	11001010	312	extended
203	CB	11001011	313	extended
204	CC	11001100	314	extended
205	CD	11001101	315	extended
206	CE	11001110	316	extended
207	CF	11001111	317	extended
208	D0	11010000	320	extended
209	D1	11010001	321	extended
210	D2	11010010	322	extended
211	D3	11010011	323	extended
212	D4	11010100	324	extended
213	D5	11010101	325	extended
214	D6	11010110	326	extended
215	D7	11010111	327	extended
216	D8	11011000	330	extended
217	D9	11011001	331	extended
218	DA	11011010	332	extended
219	DB	11011011	333	extended
220	DC	11011100	334	extended
221	DD	11011101	335	extended
222	DE	11011110	336	extended
223	DF	11011111	337	extended
224	E0	11100000	340	extended
225	E1	11100001	341	extended
226	E2	11100010	342	extended
227	E3	11100011	343	extended
228	E4	11100100	344	extended
229	E5	11100101	345	extended
230	E6	11100110	346	extended
231	E7	11100111	347	extended
232	E8	11101000	350	extended
233	E9	11101001	351	extended
234	EA	11101010	352	extended
235	EB	11101011	353	extended
236	EC	11101100	354	extended
237	ED	11101101	355	extended
238	EE	11101110	356	extended
239	EF	11101111	357	extended
240	F0	11110000	360	extended
241	F1	11110001	361	extended
242	F2	11110010	362	extended
243	F3	11110011	363	extended
244	F4	11110100	364	extended
245	F5	11110101	365	extended
246	F6	11110110	366	extended
247	F7	11110111	367	extended
248	F8	11111000	370	extended
249	F9	11111001	371	extended
250	FA	11111010	372	extended
251	FB	11111011	373	extended
252	FC	11111100	374	extended
253	FD	11111101	375	extended
254	FE	11111110	376	extended
255	FF	11111111	377	extended

Output · formula · meaning

Output	Formula	What it means
8-bit binary	repeated ÷2 remainders, padded to 8	01001000 — the 64-bit and 8-bit columns are on: 64 + 8 = 72.
Hexadecimal	decimal → base 16	0x48 — two digits, exactly one byte.
Octal	decimal → base 8	110 — bits in groups of three, Unix-permission style.
ASCII character	code 32–126 → printable glyph	“H” — 72 is the capital H behind HTTP and HTML.

Reading the ASCII column

Codes 32–126 are printable: letters, digits, punctuation, and the space. Codes 0–31 are control codes from the teletype era — TAB, LF (line feed), ESC — shown by name because they print nothing. 127 is DEL. Codes 128–255 depend on the encoding (Latin-1, UTF-8, Windows-1252), so the chart marks them “extended.”

Who uses this

Programming students: base conversion is on nearly every CS exam — this is the answer key.
Electronics hobbyists: DIP switches, registers, and 7-segment displays all speak binary.
IT & networking: subnet masks, file permissions, and hex dumps reward fluency.
Puzzle & CTF players: encoded strings usually crack open at the ASCII column.

Accuracy & limitations

Conversions are exact integer math over 0–255 — no rounding, no approximation. The ASCII column shows the 7-bit standard; bytes 128–255 vary by encoding (UTF-8 represents them with multi-byte sequences), which is why they’re marked extended rather than guessed.

Counting characters instead? The character counter handles limits and encodings, the decimal to fraction converter covers base-10 fractions, and the random number generator rolls bits for you. More number-system tools are on the way to the math hub.

Cite this calculatorBright Side Kit. “Binary, Hex & Decimal Chart.” brightoolbox.com, 2026.

Bright Side Kit. "Binary, Hex & Decimal Chart." https://brightoolbox.com/binary-hex-decimal-chart/ Accessed October 22, 2026.

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Frequently asked questions

How do I convert binary to decimal by hand?

Add the “on” columns: 128, 64, 32, 16, 8, 4, 2, 1. For 01001000, the 64 and 8 columns are on — 64 + 8 = 72. The converter shows the breakdown for any byte.

How do I convert decimal to hex?

Divide by 16 repeatedly and read the remainders backwards (10–15 become A–F). 72 ÷ 16 = 4 remainder 8 → 0x48. Or split the byte into two nibbles and look each up in the nibble table.

What is a nibble?

Half a byte — 4 bits, values 0–15, exactly one hex digit. Two nibbles make a byte, which is why hex maps to binary so cleanly.

Why do programmers use hexadecimal instead of binary?

Compactness with a one-to-one bit mapping: 0x48 is shorter than 01001000, and each hex digit is exactly 4 bits, so you can still “see” the bits. Decimal has no such mapping.

What is the difference between 0x and 0b prefixes?

They mark the base: 0x48 is hex (72), 0b1001000 is binary (72), and plain 72 is decimal. The converter accepts hex with or without the 0x.

Why does the chart stop at 255?

255 is the biggest value one byte (8 bits) holds: 2⁸ − 1. Bigger values need two or more bytes — the converter covers the single-byte range the chart documents.

What do the control characters (NUL, BEL, ESC) mean?

They are non-printing commands from the teletype era: NUL (nothing), BEL (ring the bell), TAB (tab), LF (line feed), ESC (escape). They still live inside every text file and terminal.