Binary to Hex Converter
The Binary to Hex Converter is a user-friendly online tool, to quickly convert Binary to Hex
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Binary to Hex Converter
A Binary to Hex Converter is a program that allows you to convert binary numbers, which have base 2, to hexadecimal numbers, which have base 16. This is very practical in programming, digital electronics, and computer sciences because it is simpler to make sense of binary information in this manner.
About Binary and Hexadecimal
Binary System (Base-2)
The binary system is one of the simplest numeral systems, consisting only of two digits: 0 and 1. It is based on the power of 2 (basically); each bit has the physical meaning of a power of 2. Everything is in binary form, the language of computers. One example is 1010, which is a binary number and is equal to 10 in decimal.
Hexadecimal System (Base-16)
A base 16 positional numeral system is one called a hexadecimal system. It uses 16 symbols: 0 – 9 represents values zero through nine, and A – F represents values ten through fifteen. One of the reasons Hexadecimal is so commonly used in computing is because it is a more compact representation of binary values (four binary bits to one hexadecimal digit). let’s suppose A = 10 and F = 15 in decimal.
How to convert Binary to Hex
Now you will convert each group of four binary digits here to its equivalent hexadecimal representation. For this, we have given the below mapping.
0000: 0
0001: 1
0010: 2
0011: 3
0100: 4
0101: 5
0110: 6
0111: 7
1000: 8
1001: 9
1010: A
1011: B
1100: C
1101: D
1110: E
1111: F
Conversion Example
Convert the binary number 101101 to hexadecimal.
Group the Binary Digits:
Group the binary number into groups of four digits from right to left. If the last group has fewer than four digits, pad it with zeros on the left.
1. Binary: 101101
2. Grouped: 0010 | 1101
3. Convert Each Group to Hexadecimal:
Group 1: 0010
Binary to Decimal: 0 × 23 + 0 × 22 + 1 × 21 + 0 × 20 = 0 + 0 + 2 + 0 = 20 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 = 0 + 0 + 2 + 0 = 20 × 23 + 0 × 22 + 1 × 21 + 0 × 20 = 0 + 0 + 2 + 0 = 2
Decimal to Hexadecimal: 2 in hexadecimal is 2.
Group 2: 1101
Binary to Decimal: 1 × 23 + 1 × 22 + 0 × 21 + 1 × 20 = 8 + 4 + 0 + 1 = 131 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 8 + 4 + 0 + 1 = 131 × 23 + 1 × 22 + 0 × 21 + 1 × 20 = 8 + 4 + 0 + 1 = 13
Decimal to Hexadecimal: 13 in hexadecimal is D.
Combine Hexadecimal Digits:
Combine the hexadecimal digits obtained from each group, starting from left to right.
Hexadecimal: 2D
The binary number 101101 converts to the hexadecimal number 2D.
Frequently Asked Questions (FAQ)
1. Why not use binary in computer science instead of hexadecimal?
Binary is terrible, it’s much more compact and readable when you use hexadecimal. Programmers like that large binary values can be represented as hexadecimal.
2. Are you able to convert hexadecimal directly into binary?
We can safely say that converting from hexadecimal back to binary is easy. Each of the hexadecimal digits corresponds exactly to a four-bit binary group. For example, 1111 is hexadecimal for F.
3. What can be utilized for binary to hex conversion?
Programming: Memory addresses in hexadecimal are represented in many languages.
Web Design: Both hexadecimal and color codes are often used.
Digital Electronics: When working in microprocessors and memory with circuit designers, hexadecimal is used to make binary data easy.
4. But, how does the Binary to Hex Converter Tool work?
The tool automates the steps outlined above: what it does is, it takes a binary set, groups the binary digits in groups of four, converts each group to decimal, maps each group of decimals to hexadecimal, and shows the result immediately.
5. How can I convert the maximum binary value that I can with the tool?
The values are given by the limits of the tool, but most tools take binary inputs up to a few dozen bits or so, which is sufficient for most uses.
A Table for Binary to Hex Conversion
| Binary | Hexadecimal |
|---|---|
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 8 |
| 1001 | 9 |
| 1010 | a |
| 1011 | b |
| 1100 | c |
| 1101 | d |
| 1110 | e |
| 1111 | f |
| 11111 | 1f |
| 111111 | 3f |
| 1111111 | 7f |
| 11111111 | ff |
| 10001000 | 88 |
| 10101010 | aa |
| 11110000 | f0 |
| 1111101000 | 3e8 |