Hexadecimal to Binary Converter
Convert hexadecimal values to binary format by entering a hexadecimal number and clicking convert.
Information on Number Conversion
A number system is a method of expressing numbers in a consistent manner using digits and numbers. There are different number system like, Decimal, Binary, Octal, Hexadecimal. These different number systems are used in different contexts.
Binary Number System
Binary number system is a base 2 number system. It uses only two digits, 0 and 1. The position of each digit in a binary number denotes the power of 2. The rightmost digit is the ones place, the next digit to the left is the twos place, the next digit to the left is the fours place, and so on.
An example of a binary number is
10112 = 1×23 + 0×22 + 1×21 + 1×20
Hexadecimal Number System
Hexadecimal number system is a base 16 number system. It uses 16 digits from 0 to 9 and A to F. The position of each digit in a hexadecimal number denotes the power of 16. The rightmost digit is the ones place, the next digit to the left is the sixteens place, the next digit to the left is the two hundred fifty-six place, and so on.
An example of a hexadecimal number is
123416 = 1×163 + 2×162 + 3×161 + 4×160
How to convert Hexadecimal to Binary?
To convert a hexadecimal number to binary, you can use the following steps:
Step 1: Write down the hexadecimal number.
Step 2: Write down the binary equivalent of each hexadecimal digit.
Step 3: Combine all the binary digits to get the binary equivalent of the hexadecimal number.
Table of Hexadecimal to Binary Conversion
| Hexadecimal | Binary |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
| A (10) | 1010 |
| B (11) | 1011 |
| C (12) | 1100 |
| D (13) | 1101 |
| E (14) | 1110 |
| F (15) | 1111 |
Example: Convert 3EF16 to (?)2
Step 1: Write down the hexadecimal number: 3EF16
Step 2: Write down the binary equivalent of each hexadecimal digit: 3 = 0011, E = 1110, F = 1111
Step 3: Combine all the binary digits to get the binary equivalent of the hexadecimal number: 3EF16 = 0011 1110 11112
Therefore, 3EF16 = 0011 1110 11112
Example: Convert 1A216 to (?)2
Step 1: Write down the hexadecimal number: 1A216
Step 2: Write down the binary equivalent of each hexadecimal digit: 1 = 0001, A = 1010, 2 = 0010
Step 3: Combine all the binary digits to get the binary equivalent of the hexadecimal number: 1A216 = 0001 1010 00102
Therefore, 1A216 = 0001 1010 00102
Hexadecimal to Binary converter
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