Hex Calculator For Mac
Hex Converter Hex Converter allows you to quickly convert between hex and decimal on your Mac.
To use this binary to hex conversion tool, you must type a binary value like 11011011 into the left field below and hit the Convert button. The converter will give you the hexadecimal (base-16) equivalent of the given value.
- In the Calculator app on your Mac, choose an option from the View menu: Basic:Perform simple arithmetic operations. Scientific:Use memory functions and perform advanced calculations involving fractions, powers, roots, exponents, logarithms, trigonometry, and more. Programmer:Perform binary, octal, decimal, and hexadecimal calculations, including bitwise.
- Hex Calculator provides six hexadecimal conversions for scientific computing. This scientific calculator supports BIT-2 (Binary), BIT-4, BIT-8 (Octonary), BIT-10 (Decimal), BIT-16 (Hexadecimal), and BIT-32 conversion. The program has a straightforward interface that makes using the application a simple task.
- Mac Dec Bin Hex Calculator lets you calculate the decimal value, the binary value and the hexadecimal value of each number you wish. Mac Dec Bin Hex Calculator is a lite and free conversion tool. You may want to check out more Mac applications, such as Hex Calculator, Hex or HexDecBin, which might be similar to Mac Dec Bin Hex Calculator.
Binary to hex conversion result in base numbers
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.
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.
How to Convert Binary to Hex
Converting from binary to hex is easy since hexadecimal numbers are simplified versions of binary strings. You just need to remember that each hex digit represents four binary digits. It follows that four binary digits will be equal to one hex digit. The method is easier than it sounds but it’s always useful to use a binary to hex conversion chart to save time.
Step 1: Write down the binary number and group the digits (0’s and 1’s) in sets of four. Start doing this from the right. If the leftmost group doesn’t have enough digits to make up a set of four, add extra 0’s to make a group.
Step 2: Write 8, 4, 2 and 1 below each group. These are the weights of the positions or place holders in the number (23, 22, 21 and 20).
Binary To Hex Calculator
Step 3: Every group of four in binary will give you one digit in hexadecimal. Multiply the 8, 4, 2 and 1’s by the digit above.
Step 4: Add the products within each set of four. Write the sums below the groups they belong to.
Step 5: The digits you get from the sums in each group will give you the hexadecimal number, from left to right.
Now, let’s apply these steps to, for example, the binary number (10101010)2
Step 1: 10101010 has eight digits and therefore can be grouped in sets of four without adding 0’s.
Think of the number as (1010)(1010)
Step 2: Write 8, 4, 2 and 1 below each group.
10101010
84218421
Step 3: Multiply the 8, 4, 2 and 1’s with the digit above.
10101010
84218421
80208020
Step 4: Add the products within each set of four.
In the first group, 8 + 2 = 10
In the second group, 8 + 2 = 10
Write these digits below the groups they belong to.
10101010
84218421
80208020
1010
Step 5: Notice that, in order to represent values above 9, letters will be used. 10 is represented as the letter A in the hexadecimal system. Therefore, (10101010)2 = (AA)16
Binary to Hex Conversion Examples
Example 1: (10001110)2 = (8E)16
Hex Calculator For Macro
Example 2: (111011.111)2 = (3B.E)16
(Notice that this binary number has a decimal point and cannot be automatically grouped in sets of four. You need to add 0’s both the leftmost and the rightmost parts.)
00111011.1110
842184218421
002180218420
311.14
3 B. E
Binary to Hexadecimal Conversion Chart
The following binary to hexadecimal conversion chart shows which four binary digits are equivalent to which hex symbol:
Binary | Hexadecimal |
---|---|
00000001 | 1 |
00000010 | 2 |
00000011 | 3 |
00000100 | 4 |
00000101 | 5 |
00000110 | 6 |
00000111 | 7 |
00001000 | 8 |
00001001 | 9 |
00001010 | A |
00001011 | B |
00001100 | C |
00001101 | D |
00001110 | E |
00001111 | F |
00010000 | 10 |
00010001 | 11 |
00010010 | 12 |
00010011 | 13 |
00010100 | 14 |
00010101 | 15 |
00010110 | 16 |
00010111 | 17 |
00011000 | 18 |
00011001 | 19 |
00011010 | 1A |
00011011 | 1B |
00011100 | 1C |
00011101 | 1D |
00011110 | 1E |
00011111 | 1F |
00100000 | 20 |
00100001 | 21 |
00100010 | 22 |
00100011 | 23 |
00100100 | 24 |
00100101 | 25 |
00100110 | 26 |
00100111 | 27 |
00101000 | 28 |
00101001 | 29 |
00101010 | 2A |
00101011 | 2B |
00101100 | 2C |
00101101 | 2D |
00101110 | 2E |
00101111 | 2F |
00110000 | 30 |
00110001 | 31 |
00110010 | 32 |
00110011 | 33 |
00110100 | 34 |
00110101 | 35 |
00110110 | 36 |
00110111 | 37 |
00111000 | 38 |
00111001 | 39 |
00111010 | 3A |
00111011 | 3B |
00111100 | 3C |
00111101 | 3D |
00111110 | 3E |
00111111 | 3F |
01000000 | 40 |
Binary | Hexadecimal |
---|---|
01000001 | 41 |
01000010 | 42 |
01000011 | 43 |
01000100 | 44 |
01000101 | 45 |
01000110 | 46 |
01000111 | 47 |
01001000 | 48 |
01001001 | 49 |
01001010 | 4A |
01001011 | 4B |
01001100 | 4C |
01001101 | 4D |
01001110 | 4E |
01001111 | 4F |
01010000 | 50 |
01010001 | 51 |
01010010 | 52 |
01010011 | 53 |
01010100 | 54 |
01010101 | 55 |
01010110 | 56 |
01010111 | 57 |
01011000 | 58 |
01011001 | 59 |
01011010 | 5A |
01011011 | 5B |
01011100 | 5C |
01011101 | 5D |
01011110 | 5E |
01011111 | 5F |
01100000 | 60 |
01100001 | 61 |
01100010 | 62 |
01100011 | 63 |
01100100 | 64 |
01100101 | 65 |
01100110 | 66 |
01100111 | 67 |
01101000 | 68 |
01101001 | 69 |
01101010 | 6A |
01101011 | 6B |
01101100 | 6C |
01101101 | 6D |
01101110 | 6E |
01101111 | 6F |
01110000 | 70 |
01110001 | 71 |
01110010 | 72 |
01110011 | 73 |
01110100 | 74 |
01110101 | 75 |
01110110 | 76 |
01110111 | 77 |
01111000 | 78 |
01111001 | 79 |
01111010 | 7A |
01111011 | 7B |
01111100 | 7C |
01111101 | 7D |
01111110 | 7E |
01111111 | 7F |
10000000 | 80 |
Binary | Hexadecimal |
---|---|
10000001 | 81 |
10000010 | 82 |
10000011 | 83 |
10000100 | 84 |
10000101 | 85 |
10000110 | 86 |
10000111 | 87 |
10001000 | 88 |
10001001 | 89 |
10001010 | 8A |
10001011 | 8B |
10001100 | 8C |
10001101 | 8D |
10001110 | 8E |
10001111 | 8F |
10010000 | 90 |
10010001 | 91 |
10010010 | 92 |
10010011 | 93 |
10010100 | 94 |
10010101 | 95 |
10010110 | 96 |
10010111 | 97 |
10011000 | 98 |
10011001 | 99 |
10011010 | 9A |
10011011 | 9B |
10011100 | 9C |
10011101 | 9D |
10011110 | 9E |
10011111 | 9F |
10100000 | A0 |
10100001 | A1 |
10100010 | A2 |
10100011 | A3 |
10100100 | A4 |
10100101 | A5 |
10100110 | A6 |
10100111 | A7 |
10101000 | A8 |
10101001 | A9 |
10101010 | AA |
10101011 | AB |
10101100 | AC |
10101101 | AD |
10101110 | AE |
10101111 | AF |
10110000 | B0 |
10110001 | B1 |
10110010 | B2 |
10110011 | B3 |
10110100 | B4 |
10110101 | B5 |
10110110 | B6 |
10110111 | B7 |
10111000 | B8 |
10111001 | B9 |
10111010 | BA |
10111011 | BB |
10111100 | BC |
10111101 | BD |
10111110 | BE |
10111111 | BF |
11000000 | C0 |
Binary | Hexadecimal |
---|---|
11000001 | C1 |
11000010 | C2 |
11000011 | C3 |
11000100 | C4 |
11000101 | C5 |
11000110 | C6 |
11000111 | C7 |
11001000 | C8 |
11001001 | C9 |
11001010 | CA |
11001011 | CB |
11001100 | CC |
11001101 | CD |
11001110 | CE |
11001111 | CF |
11010000 | D0 |
11010001 | D1 |
11010010 | D2 |
11010011 | D3 |
11010100 | D4 |
11010101 | D5 |
11010110 | D6 |
11010111 | D7 |
11011000 | D8 |
11011001 | D9 |
11011010 | DA |
11011011 | DB |
11011100 | DC |
11011101 | DD |
11011110 | DE |
11011111 | DF |
11100000 | E0 |
11100001 | E1 |
11100010 | E2 |
11100011 | E3 |
11100100 | E4 |
11100101 | E5 |
11100110 | E6 |
11100111 | E7 |
11101000 | E8 |
11101001 | E9 |
11101010 | EA |
11101011 | EB |
11101100 | EC |
11101101 | ED |
11101110 | EE |
11101111 | EF |
11110000 | F0 |
11110001 | F1 |
11110010 | F2 |
11110011 | F3 |
11110100 | F4 |
11110101 | F5 |
11110110 | F6 |
11110111 | F7 |
11111000 | F8 |
11111001 | F9 |
11111010 | FA |
11111011 | FB |
11111100 | FC |
11111101 | FD |
11111110 | FE |
11111111 | FF |