Convert Binary to Hex

Q: Where is binary to hex conversion used?

Binary to hex conversion is used in memory addressing, machine code representation, color codes in web design (e.g., #FF5733), debugging low-level software, and working with network protocols and data encoding.

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Binary value

Hexadecimal value

Binary to hex conversion result in base numbers

(0)₂ = (0)₁₆

Hex	Binary	Hex	Binary	Hex	Binary	Hex	Binary
00	00000000	40	01000000	80	10000000	C0	11000000
01	00000001	41	01000001	81	10000001	C1	11000001
02	00000010	42	01000010	82	10000010	C2	11000010
03	00000011	43	01000011	83	10000011	C3	11000011
04	00000100	44	01000100	84	10000100	C4	11000100
05	00000101	45	01000101	85	10000101	C5	11000101
06	00000110	46	01000110	86	10000110	C6	11000110
07	00000111	47	01000111	87	10000111	C7	11000111
08	00001000	48	01001000	88	10001000	C8	11001000
09	00001001	49	01001001	89	10001001	C9	11001001
0A	00001010	4A	01001010	8A	10001010	CA	11001010
0B	00001011	4B	01001011	8B	10001011	CB	11001011
0C	00001100	4C	01001100	8C	10001100	CC	11001100
0D	00001101	4D	01001101	8D	10001101	CD	11001101
0E	00001110	4E	01001110	8E	10001110	CE	11001110
0F	00001111	4F	01001111	8F	10001111	CF	11001111
10	00010000	50	01010000	90	10010000	D0	11010000
11	00010001	51	01010001	91	10010001	D1	11010001
12	00010010	52	01010010	92	10010010	D2	11010010
13	00010011	53	01010011	93	10010011	D3	11010011
14	00010100	54	01010100	94	10010100	D4	11010100
15	00010101	55	01010101	95	10010101	D5	11010101
16	00010110	56	01010110	96	10010110	D6	11010110
17	00010111	57	01010111	97	10010111	D7	11010111
18	00011000	58	01011000	98	10011000	D8	11011000
19	00011001	59	01011001	99	10011001	D9	11011001
1A	00011010	5A	01011010	9A	10011010	DA	11011010
1B	00011011	5B	01011011	9B	10011011	DB	11011011
1C	00011100	5C	01011100	9C	10011100	DC	11011100
1D	00011101	5D	01011101	9D	10011101	DD	11011101
1E	00011110	5E	01011110	9E	10011110	DE	11011110
1F	00011111	5F	01011111	9F	10011111	DF	11011111
20	00100000	60	01100000	A0	10100000	E0	11100000
21	00100001	61	01100001	A1	10100001	E1	11100001
22	00100010	62	01100010	A2	10100010	E2	11100010
23	00100011	63	01100011	A3	10100011	E3	11100011
24	00100100	64	01100100	A4	10100100	E4	11100100
25	00100101	65	01100101	A5	10100101	E5	11100101
26	00100110	66	01100110	A6	10100110	E6	11100110
27	00100111	67	01100111	A7	10100111	E7	11100111
28	00101000	68	01101000	A8	10101000	E8	11101000
29	00101001	69	01101001	A9	10101001	E9	11101001
2A	00101010	6A	01101010	AA	10101010	EA	11101010
2B	00101011	6B	01101011	AB	10101011	EB	11101011
2C	00101100	6C	01101100	AC	10101100	EC	11101100
2D	00101101	6D	01101101	AD	10101101	ED	11101101
2E	00101110	6E	01101110	AE	10101110	EE	11101110
2F	00101111	6F	01101111	AF	10101111	EF	11101111
30	00110000	70	01110000	B0	10110000	F0	11110000
31	00110001	71	01110001	B1	10110001	F1	11110001
32	00110010	72	01110010	B2	10110010	F2	11110010
33	00110011	73	01110011	B3	10110011	F3	11110011
34	00110100	74	01110100	B4	10110100	F4	11110100
35	00110101	75	01110101	B5	10110101	F5	11110101
36	00110110	76	01110110	B6	10110110	F6	11110110
37	00110111	77	01110111	B7	10110111	F7	11110111
38	00111000	78	01111000	B8	10111000	F8	11111000
39	00111001	79	01111001	B9	10111001	F9	11111001
3A	00111010	7A	01111010	BA	10111010	FA	11111010
3B	00111011	7B	01111011	BB	10111011	FB	11111011
3C	00111100	7C	01111100	BC	10111100	FC	11111100
3D	00111101	7D	01111101	BD	10111101	FD	11111101
3E	00111110	7E	01111110	BE	10111110	FE	11111110
3F	00111111	7F	01111111	BF	10111111	FF	11111111

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Frequently Asked Questions

Binary to hexadecimal (hex) conversion is the process of converting a number from base 2 (binary) to base 16 (hexadecimal). Each group of 4 binary digits corresponds to exactly one hex digit, making the conversion straightforward and lossless.

To convert binary to hex manually, group the binary number into sets of 4 bits from right to left (padding with zeros if needed). Then convert each 4-bit group to its hexadecimal equivalent. For example, 1111 = F, 0001 = 1, so 00011111 = 1F.

Hexadecimal is preferred over binary in programming because it is far more compact — one hex digit represents 4 binary digits. A byte that takes 8 binary digits only takes 2 hex digits, making memory addresses, color codes, and error codes much easier to read and work with.

The binary number 11111111 equals FF in hexadecimal. This is also 255 in decimal, which is the maximum value of a single byte (8 bits). In hex color codes, #FFFFFF represents pure white.

Exactly 4 binary digits (bits) equal one hexadecimal digit. This is because hexadecimal uses 16 values (0–F), and 2⁴ = 16. This neat relationship makes binary-to-hex conversion very efficient.

Binary to hex conversion is widely used in computer science and programming. Common applications include memory addressing, machine code representation, color codes in web design (e.g., #FF5733), debugging low-level software, and working with network protocols and data encoding.