Hex to Binary Converter
The Hex to Binary Converter is a user-friendly online tool, to convert Hex to Binary quickly.
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Hex to Binary Converter
A Hex to Binary Converter is a conversion program that converts hexadecimal numbers to binary numbers. Hexadecimal, which is base-16, and binary which is base-2 are the two systems most used in computing and digital electronics. From these two forms, hex is particularly of value because of the small size it provides to represent binaries, while the bin is the native language of computer processors.
In this article, the author provides an introduction to hex/binary numbers, and the converting process, and provides answers to the most common questions regarding this problem.
Hexadecimal (Hex) and Binary.
Hexadecimal (Hex)
The hexadecimal numbering system, or hex, is base-16, meaning it uses 16 distinct symbols: 0-9 and A-F. Hex is based on 4 binary bits, making each digit a compact representation of large binary numbers. Here’s how hex digits map to their decimal and binary equivalents:
Binary
In the binary numbering system (base 2) there are only two symbols, 0
and 1, each one representing a power of two. Binary is the computer’s way because the voltage low and high easily represent 0
and 1 in the represents for a digital circuit. Binary numbers are a way to display numbers using numbers that each have a position with an increasing ware of 2 from right to left.
Hex | Decimal | Binary |
---|---|---|
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 |
A | 10 | 1010 |
B | 11 | 1011 |
C | 12 | 1100 |
D | 13 | 1101 |
E | 14 | 1110 |
F | 15 | 1111 |
How to convert Hex to Binary
Here, we will understand how to convert hexadecimal (hex) numbers to binary and let us know through an example how to convert hexadecimal (hex) numbers to binary. To convert a hexadecimal (hex) number to binary, you can convert each hex digit to its equivalent 4-bit binary representation. Since each hex digit represents 4 bits, the conversion is simple.
Here, you type the hex number that you want to convert. For example, let us use a hex number 1A3 here.
We have to convert each hex digit to its 4-bit binary representation. For this, you use the following mapping.
0: 0000
1: 0001
2: 0010
3: 0011
4: 0100
5: 0101
6: 0110
7: 0111
8: 1000
9: 1001
A: 1010
B: 1011
C: 1100
D: 1101
E: 1110
F: 1111
For example 1A3
1 in hex is 0001 in binary.
A in hex is 1010 in binary.
3 in hex is 0011 in binary.
Now, we will combine the binary representation of each hex digit to get the binary equivalent of the entire hex digit.
Let us use our example 1A3.
The value of 1 in binary is 0001.
The value of A in binary is 1010.
The value of 3 in binary is 0011.
Combine these: 000110100011
So, the hex number 1A3 is equivalent to the binary number 000110100011.
Frequently Asked Questions (FAQ)
1. Why are binary more than 8 bits then hexadecimal is used instead? Since it’s more compact than binary, hexadecimal is easier to read, write, and understand. Each hex digit is four binary bits, so we save a tonne on size when dealing with large amounts of binary numbers in hex.
2. If I have a large hexadecimal number, how do I convert it to binary?
To turn any hex number into something that is a 4-bit binary that you could operate on. This is for any length hex number.
3. Is it easy to convert binary to hex?
Yes! To convert from binary to hex, divide the binary number into a group of 4 bits from the right. Using the hex-binary chart above, convert each group to the hex equivalent.
4. When should you use a hex-to-binary converter?
With a Hex to Binary Converter fast and easy, it is possible to convert hex values to binary without having to perform the calculations manually, preventing the chance of errors. This comes in handy in digital electronics, programming, and computer science.
5. Does hexadecimal have any limitations to it, and does binary?
The limit on the conversion is in itself not limited; however, making sense of and interpreting very long streams of binary data can prove problematic. Having a more readable format, usually conversions are done only as much as required for system-level requirements.
6. Can I convert from binary or hex to decimal in a straight line?
Yes, you can do this from decimal to binary or hex, but it’s not a one-step conversion. For decimal to binary, you will need to divide / repeatedly divide and convert into binary, or for hex to binary, you will have to do a long, long division to get to binary or hex values.
7. What is memory addressing in hex representation?
Because memory addresses are usually long binary numbers and hard to read, they popularly use hexadecimal, which is handy to read and fits in a compact number.
A Table for Hexadecimal to Binary Conversion
Hexadecimal | Decimal |
---|---|
1 | 1 |
2 | 10 |
3 | 11 |
4 | 100 |
5 | 101 |
6 | 110 |
7 | 111 |
8 | 1000 |
9 | 1001 |
a | 1010 |
b | 1011 |
c | 1100 |
d | 1101 |
e | 1110 |
f | 1111 |
aa | 10101010 |
bb | 10111011 |
cc | 11001100 |
dd | 11011101 |
ee | 11101110 |
ff | 11111111 |
10 | 10000 |
100 | 100000000 |
1000 | 1000000000000 |
10000 | 10000000000000000 |