To use this hex to binary converter tool, just type a hex value like 1E into the left field below, and then hit the Convert button. Therefore, you can convert up to 16 hex characters (max. value of 7fffffffffffffff).
Hex to binary conversion result in base numbers
Hexadecimal System (Hex System)
The hexadecimal system (shortly hex), uses the number 16 as its base (radix). As a base-16 numeral system, it uses 16 symbols. These are the 10 decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the first six letters of the English alphabet (A, B, C, D, E, F). The letters are used because of the need to represent the values 10, 11, 12, 13, 14 and 15 each in one single symbol.
Hex is used in mathematics and information technologies as a more friendly way to represent binary numbers. Each hex digit represents four binary digits; therefore, hex is a language to write binary in an abbreviated form.
Four binary digits (also called nibbles) make up half a byte. This means one byte can carry binary values from 0000 0000 to 1111 1111. In hex, these can be represented in a friendlier fashion, ranging from 00 to FF.
In html programming, colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white whereas 000000 represents black.
Binary System
The binary numeral system uses the number 2 as its base (radix). As a base-2 numeral system, it consists of only two numbers: 0 and 1.
While it has been applied in ancient Egypt, China and India for different purposes, the binary system has become the language of electronics and computers in the modern world. This is the most efficient system to detect an electric signal’s off (0) and on (1) state. It is also the basis for binary code that is used to compose data in computer-based machines. Even the digital text that you are reading right now consists of binary numbers.
Reading a binary number is easier than it looks: This is a positional system; therefore, every digit in a binary number is raised to the powers of 2, starting from the rightmost with 20. In the binary system, each binary digit refers to 1 bit.
How to Convert Hex to Binary
Converting from hex to binary is straightforward since hexadecimal numbers are simplified versions of binary strings. You just need to remember that each hex value will produce four binary digits.
- Step 1: Write down the hex number. If there are any, change the hex values represented by letters to their decimal equivalents.
- Step 2: Each hex digit represents four binary digits and therefore is equal to a power of 2. The rightmost digit equals to 20 (1), the next one equals to 21 (2), the next one equals to 22 (4) and the leftmost one equals to 23 (8). Write these numbers (8, 4, 2 and 1) below the hex values.
- Step 3: Determine which powers of two (8, 4, 2 or 1) sum up to your hex digits. For example, if one of your hex values is 10, this means 8 and 2 sum up to 10 (4 and 1 are not used). If your hex number is 2, only 2 is used; 8, 4 and 1 are not.
- Step 4: Write down 1 below those 8, 4, 2 and 1’s that are used. Write down 0 below those that are not used.
- Step 5: Read the 1’s and 0’s from left to right to get the binary equivalent of the given hex number.
Let's apply these steps to the hex number (4FA)16
Step 1: 4FA415 10Step 2: 4FA415108421 8421 8421Step 3: 4FA4 510842184218421(Notice the bold digits sum up to the hex value above. So the bold digits are 1 and the others are 0.)Step 4:4FA41510842184218421010011111010Step 5: (4FA)16 = (10011111010)2
Hex to binary conversion examples
Example 1: (2C1)16 = (1011000001)22C12121842184218421001011000001Example 2: (9DB2)16 = (1001110110110010)29DB291311284218421842184211001110110110010
Related converters: Binary To Hex Converter
Hexadecimal to Binary Conversion Chart
Hexadecimal | Binary |
---|---|
1 | 00000001 |
2 | 00000010 |
3 | 00000011 |
4 | 00000100 |
5 | 00000101 |
6 | 00000110 |
7 | 00000111 |
8 | 00001000 |
9 | 00001001 |
A | 00001010 |
B | 00001011 |
C | 00001100 |
D | 00001101 |
E | 00001110 |
F | 00001111 |
10 | 00010000 |
11 | 00010001 |
12 | 00010010 |
13 | 00010011 |
14 | 00010100 |
15 | 00010101 |
16 | 00010110 |
17 | 00010111 |
18 | 00011000 |
19 | 00011001 |
1A | 00011010 |
1B | 00011011 |
1C | 00011100 |
1D | 00011101 |
1E | 00011110 |
1F | 00011111 |
20 | 00100000 |
21 | 00100001 |
22 | 00100010 |
23 | 00100011 |
24 | 00100100 |
25 | 00100101 |
26 | 00100110 |
27 | 00100111 |
28 | 00101000 |
29 | 00101001 |
2A | 00101010 |
2B | 00101011 |
2C | 00101100 |
2D | 00101101 |
2E | 00101110 |
2F | 00101111 |
30 | 00110000 |
31 | 00110001 |
32 | 00110010 |
33 | 00110011 |
34 | 00110100 |
35 | 00110101 |
36 | 00110110 |
37 | 00110111 |
38 | 00111000 |
39 | 00111001 |
3A | 00111010 |
3B | 00111011 |
3C | 00111100 |
3D | 00111101 |
3E | 00111110 |
3F | 00111111 |
40 | 01000000 |
Hexadecimal | Binary |
---|---|
41 | 01000001 |
42 | 01000010 |
43 | 01000011 |
44 | 01000100 |
45 | 01000101 |
46 | 01000110 |
47 | 01000111 |
48 | 01001000 |
49 | 01001001 |
4A | 01001010 |
4B | 01001011 |
4C | 01001100 |
4D | 01001101 |
4E | 01001110 |
4F | 01001111 |
50 | 01010000 |
51 | 01010001 |
52 | 01010010 |
53 | 01010011 |
54 | 01010100 |
55 | 01010101 |
56 | 01010110 |
57 | 01010111 |
58 | 01011000 |
59 | 01011001 |
5A | 01011010 |
5B | 01011011 |
5C | 01011100 |
5D | 01011101 |
5E | 01011110 |
5F | 01011111 |
60 | 01100000 |
61 | 01100001 |
62 | 01100010 |
63 | 01100011 |
64 | 01100100 |
65 | 01100101 |
66 | 01100110 |
67 | 01100111 |
68 | 01101000 |
69 | 01101001 |
6A | 01101010 |
6B | 01101011 |
6C | 01101100 |
6D | 01101101 |
6E | 01101110 |
6F | 01101111 |
70 | 01110000 |
71 | 01110001 |
72 | 01110010 |
73 | 01110011 |
74 | 01110100 |
75 | 01110101 |
76 | 01110110 |
77 | 01110111 |
78 | 01111000 |
79 | 01111001 |
7A | 01111010 |
7B | 01111011 |
7C | 01111100 |
7D | 01111101 |
7E | 01111110 |
7F | 01111111 |
80 | 10000000 |
Hexadecimal | Binary |
---|---|
81 | 10000001 |
82 | 10000010 |
83 | 10000011 |
84 | 10000100 |
85 | 10000101 |
86 | 10000110 |
87 | 10000111 |
88 | 10001000 |
89 | 10001001 |
8A | 10001010 |
8B | 10001011 |
8C | 10001100 |
8D | 10001101 |
8E | 10001110 |
8F | 10001111 |
90 | 10010000 |
91 | 10010001 |
92 | 10010010 |
93 | 10010011 |
94 | 10010100 |
95 | 10010101 |
96 | 10010110 |
97 | 10010111 |
98 | 10011000 |
99 | 10011001 |
9A | 10011010 |
9B | 10011011 |
9C | 10011100 |
9D | 10011101 |
9E | 10011110 |
9F | 10011111 |
A0 | 10100000 |
A1 | 10100001 |
A2 | 10100010 |
A3 | 10100011 |
A4 | 10100100 |
A5 | 10100101 |
A6 | 10100110 |
A7 | 10100111 |
A8 | 10101000 |
A9 | 10101001 |
AA | 10101010 |
AB | 10101011 |
AC | 10101100 |
AD | 10101101 |
AE | 10101110 |
AF | 10101111 |
B0 | 10110000 |
B1 | 10110001 |
B2 | 10110010 |
B3 | 10110011 |
B4 | 10110100 |
B5 | 10110101 |
B6 | 10110110 |
B7 | 10110111 |
B8 | 10111000 |
B9 | 10111001 |
BA | 10111010 |
BB | 10111011 |
BC | 10111100 |
BD | 10111101 |
BE | 10111110 |
BF | 10111111 |
C0 | 11000000 |
Hexadecimal | Binary |
---|---|
C1 | 11000001 |
C2 | 11000010 |
C3 | 11000011 |
C4 | 11000100 |
C5 | 11000101 |
C6 | 11000110 |
C7 | 11000111 |
C8 | 11001000 |
C9 | 11001001 |
CA | 11001010 |
CB | 11001011 |
CC | 11001100 |
CD | 11001101 |
CE | 11001110 |
CF | 11001111 |
D0 | 11010000 |
D1 | 11010001 |
D2 | 11010010 |
D3 | 11010011 |
D4 | 11010100 |
D5 | 11010101 |
D6 | 11010110 |
D7 | 11010111 |
D8 | 11011000 |
D9 | 11011001 |
DA | 11011010 |
DB | 11011011 |
DC | 11011100 |
DD | 11011101 |
DE | 11011110 |
DF | 11011111 |
E0 | 11100000 |
E1 | 11100001 |
E2 | 11100010 |
E3 | 11100011 |
E4 | 11100100 |
E5 | 11100101 |
E6 | 11100110 |
E7 | 11100111 |
E8 | 11101000 |
E9 | 11101001 |
EA | 11101010 |
EB | 11101011 |
EC | 11101100 |
ED | 11101101 |
EE | 11101110 |
EF | 11101111 |
F0 | 11110000 |
F1 | 11110001 |
F2 | 11110010 |
F3 | 11110011 |
F4 | 11110100 |
F5 | 11110101 |
F6 | 11110110 |
F7 | 11110111 |
F8 | 11111000 |
F9 | 11111001 |
FA | 11111010 |
FB | 11111011 |
FC | 11111100 |
FD | 11111101 |
FE | 11111110 |
FF | 11111111 |
Recent Comments
Tazeen Gull 2023-12-28 07:35:26
It was so nice that it helped me in my final exam
Amit 2023-11-28 04:46:23
nice concept!!!
Divyanshu Singh 2022-09-11 01:24:56
You are solv my doubts.thank you sir
Taimoor 2022-02-14 14:19:08
Ap-hsu what is the hexadecimal code for this
usama nuhu 2022-01-27 21:54:56
pretty good method thank you
Armah Ahwi 2021-12-17 22:14:01
You have no size . you made it simple and easy. Thanks so much.
Guest 2021-11-01 12:10:47
Thanks so much for this method which has helped me a lot
bash 2021-10-26 20:24:37
hello i need to know how to convert with 8 4 2 1 hex in binary how can calculate with true of false i dont know it can someone help me ? i know that 8 4 2 1 but how to do that with minus i dont know it ?
Darcie 2021-09-21 15:19:24
thanks for the help. it was very helpful
tusrau 2021-08-29 01:58:44
pretty good method, thank you
Danushka-Sri Lanka 2021-08-24 06:43:50
Thank u very much..all the confusions are solved
akram Yehia 2021-08-16 05:43:30
excellent job , thank for all your support
Faith 2021-08-10 21:08:26
Thanks for the method
Aparajita 2021-07-26 10:13:06
Very helpful site
BANDA INNOCENT 2021-04-23 17:29:27
Nice method but i needed the fractional method from hexa to binary
Tadele 2021-04-18 20:05:54
Change this name by using ASSC//-7 then convert into octal decimal and hexadecimal equivalent?
Guest 2021-04-16 16:58:59
Very helpful site, very easy to understand
Salmi 2021-03-19 09:13:54
Thank you very much. this was helpful and I have learned a lot.
Rashad 2021-03-01 05:52:23
Step 3 and 4 are confusing. please elaborate more..
Ame butt 2021-02-25 09:09:30
Thanks that help's alot