Hex to Binary Table – Nibble and Byte Conversion Chart

The sixteen patterns that matter

This is the only part of the table you need to memorise. Every longer conversion is these sixteen patterns joined together, because each hex digit maps to exactly four bits and never interferes with its neighbours.

Hex	Decimal	Binary	Octal
0	0	0000	0
1	1	0001	1
2	2	0010	2
3	3	0011	3
4	4	0100	4
5	5	0101	5
6	6	0110	6
7	7	0111	7
8	8	1000	10
9	9	1001	11
A	10	1010	12
B	11	1011	13
C	12	1100	14
D	13	1101	15
E	14	1110	16
F	15	1111	17

Why four bits

Sixteen is 2⁴. One hex digit therefore holds exactly one nibble, one byte is always two hex digits, and a 32-bit register is always eight. Hex became the standard notation for bit patterns precisely because that alignment is exact.

Bit positions in a byte

Bits are numbered from the right starting at zero, and each position doubles.

Bit	Value	Hex	In a byte
7	128	80	Sign bit if signed
6	64	40
5	32	20	The ASCII case bit
4	16	10
3	8	08	Top of the low nibble
2	4	04
1	2	02
0	1	01	Least significant bit

Any single bit is therefore a hex value with exactly one non-zero digit, which is why bit masks are so readable in hex and so unreadable in decimal.

Masks worth recognising

Hex	Binary	Selects
01	0000 0001	The lowest bit only
0F	0000 1111	The low nibble
F0	1111 0000	The high nibble
3F	0011 1111	The low six bits
7F	0111 1111	Everything but the sign bit
80	1000 0000	The sign bit only
AA	1010 1010	Alternating, starting high
55	0101 0101	Alternating, starting low
FF	1111 1111	Every bit

AA and 55 are worth knowing on sight: they are the standard alternating test patterns for memory and bus checks, because between them they exercise every bit in both states.

Full table: 00 to FF in eight-bit binary

Hex	Binary	Decimal
00	00000000	0
01	00000001	1
02	00000010	2
03	00000011	3
04	00000100	4
05	00000101	5
06	00000110	6
07	00000111	7
08	00001000	8
09	00001001	9
0A	00001010	10
0B	00001011	11
0C	00001100	12
0D	00001101	13
0E	00001110	14
0F	00001111	15
10	00010000	16
11	00010001	17
12	00010010	18
13	00010011	19
14	00010100	20
15	00010101	21
16	00010110	22
17	00010111	23
18	00011000	24
19	00011001	25
1A	00011010	26
1B	00011011	27
1C	00011100	28
1D	00011101	29
1E	00011110	30
1F	00011111	31
20	00100000	32
21	00100001	33
22	00100010	34
23	00100011	35
24	00100100	36
25	00100101	37
26	00100110	38
27	00100111	39
28	00101000	40
29	00101001	41
2A	00101010	42
2B	00101011	43
2C	00101100	44
2D	00101101	45
2E	00101110	46
2F	00101111	47
30	00110000	48
31	00110001	49
32	00110010	50
33	00110011	51
34	00110100	52
35	00110101	53
36	00110110	54
37	00110111	55
38	00111000	56
39	00111001	57
3A	00111010	58
3B	00111011	59
3C	00111100	60
3D	00111101	61
3E	00111110	62
3F	00111111	63
40	01000000	64
41	01000001	65
42	01000010	66
43	01000011	67
44	01000100	68
45	01000101	69
46	01000110	70
47	01000111	71
48	01001000	72
49	01001001	73
4A	01001010	74
4B	01001011	75
4C	01001100	76
4D	01001101	77
4E	01001110	78
4F	01001111	79
50	01010000	80
51	01010001	81
52	01010010	82
53	01010011	83
54	01010100	84
55	01010101	85
56	01010110	86
57	01010111	87
58	01011000	88
59	01011001	89
5A	01011010	90
5B	01011011	91
5C	01011100	92
5D	01011101	93
5E	01011110	94
5F	01011111	95
60	01100000	96
61	01100001	97
62	01100010	98
63	01100011	99
64	01100100	100
65	01100101	101
66	01100110	102
67	01100111	103
68	01101000	104
69	01101001	105
6A	01101010	106
6B	01101011	107
6C	01101100	108
6D	01101101	109
6E	01101110	110
6F	01101111	111
70	01110000	112
71	01110001	113
72	01110010	114
73	01110011	115
74	01110100	116
75	01110101	117
76	01110110	118
77	01110111	119
78	01111000	120
79	01111001	121
7A	01111010	122
7B	01111011	123
7C	01111100	124
7D	01111101	125
7E	01111110	126
7F	01111111	127
80	10000000	128
81	10000001	129
82	10000010	130
83	10000011	131
84	10000100	132
85	10000101	133
86	10000110	134
87	10000111	135
88	10001000	136
89	10001001	137
8A	10001010	138
8B	10001011	139
8C	10001100	140
8D	10001101	141
8E	10001110	142
8F	10001111	143
90	10010000	144
91	10010001	145
92	10010010	146
93	10010011	147
94	10010100	148
95	10010101	149
96	10010110	150
97	10010111	151
98	10011000	152
99	10011001	153
9A	10011010	154
9B	10011011	155
9C	10011100	156
9D	10011101	157
9E	10011110	158
9F	10011111	159
A0	10100000	160
A1	10100001	161
A2	10100010	162
A3	10100011	163
A4	10100100	164
A5	10100101	165
A6	10100110	166
A7	10100111	167
A8	10101000	168
A9	10101001	169
AA	10101010	170
AB	10101011	171
AC	10101100	172
AD	10101101	173
AE	10101110	174
AF	10101111	175
B0	10110000	176
B1	10110001	177
B2	10110010	178
B3	10110011	179
B4	10110100	180
B5	10110101	181
B6	10110110	182
B7	10110111	183
B8	10111000	184
B9	10111001	185
BA	10111010	186
BB	10111011	187
BC	10111100	188
BD	10111101	189
BE	10111110	190
BF	10111111	191
C0	11000000	192
C1	11000001	193
C2	11000010	194
C3	11000011	195
C4	11000100	196
C5	11000101	197
C6	11000110	198
C7	11000111	199
C8	11001000	200
C9	11001001	201
CA	11001010	202
CB	11001011	203
CC	11001100	204
CD	11001101	205
CE	11001110	206
CF	11001111	207
D0	11010000	208
D1	11010001	209
D2	11010010	210
D3	11010011	211
D4	11010100	212
D5	11010101	213
D6	11010110	214
D7	11010111	215
D8	11011000	216
D9	11011001	217
DA	11011010	218
DB	11011011	219
DC	11011100	220
DD	11011101	221
DE	11011110	222
DF	11011111	223
E0	11100000	224
E1	11100001	225
E2	11100010	226
E3	11100011	227
E4	11100100	228
E5	11100101	229
E6	11100110	230
E7	11100111	231
E8	11101000	232
E9	11101001	233
EA	11101010	234
EB	11101011	235
EC	11101100	236
ED	11101101	237
EE	11101110	238
EF	11101111	239
F0	11110000	240
F1	11110001	241
F2	11110010	242
F3	11110011	243
F4	11110100	244
F5	11110101	245
F6	11110110	246
F7	11110111	247
F8	11111000	248
F9	11111001	249
FA	11111010	250
FB	11111011	251
FC	11111100	252
FD	11111101	253
FE	11111110	254
FF	11111111	255

Converting by hand

C0DE

  C → 1100
  0 → 0000
  D → 1101
  E → 1110

  → 1100 0000 1101 1110

Keep every leading zero. A hex digit always contributes four bits, and dropping a zero inside the number shifts everything after it. Use the hex to binary converter for anything long enough to lose your place in.

Frequently asked questions

How many bits is one hex digit?

Exactly four, called a nibble. Two hex digits make one eight-bit byte.

What is F in binary?

1111. All four bits of the nibble are set.

What is FF in binary?

1111 1111. Every bit in the byte is set.

Why keep leading zeros?

Each hex digit must contribute four bits. Dropping a zero inside a number shifts every bit to its right and changes the value.

What are AA and 55 used for?

They are alternating bit patterns, 10101010 and 01010101, used as memory and bus test values because together they exercise every bit in both states.

How do I write a bit mask in hex?

Each bit position is a power of two: bit 0 is 01, bit 3 is 08, bit 7 is 80. Combine them by adding.

Hex to BinaryConvert any length Binary to HexThe reverse direction Hexadecimal TableAll four bases at once Hex to Decimal TableValues 0–255 Hex vs BinaryWhy both notations exist Hex CalculatorArithmetic in base 16

Hex to Binary Conversion Table

The sixteen patterns that matter

Bit positions in a byte

Masks worth recognising

Full table: 00 to FF in eight-bit binary

Converting by hand

Frequently asked questions

How many bits is one hex digit?

What is F in binary?

What is FF in binary?

Why keep leading zeros?

What are AA and 55 used for?

How do I write a bit mask in hex?

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