# Binary to HEX

You must enter a binary value, such as 11011011, into the left field below and then click the Convert button to use this binary to hex conversion converter. The converter will provide the value's hexadecimal (base-16) equivalent.

## Binary System

The base of the binary numeral system is two (radix). It only has two numbers since it uses the base-2 numeral system: 0 and 1.

The binary system has been used for many reasons in ancient Egypt, China, and India. Still, in the modern era, it has taken on the role of the language of electronics and computers. This one is the most effective method for determining whether an electric signal is off (0) or on (1). It also serves as the foundation for the binary code computers utilize to construct data. Binary numerals are used in even the digital text you are reading right now.

Despite appearances, reading a binary number is simple: Every digit in a binary number is raised to the power of 2, starting with the rightmost digit (20) since this is a positional system. Each binary numeral in the binary system denotes a single bit.

## System of Hexadecimals (Hex System)

The basis of the hexadecimal system (abbreviated hex) is 16. (radix). It employs 16 symbols since it is a base-16 numeric system. The first six letters of the English alphabet are A, B, C, D, E, and F, and the first ten decimal numbers are 0 through 9 (0, 1, 2, 3, 5, 6, 7, and 8). The need to represent the numbers 10, 11, 12, 13, 14, and 15 in a single symbol necessitates the employment of the letters.

In mathematics and information technology, hex is employed to represent binary integers because it is more aesthetically pleasing. Hex is a language used to write binary abridged since each hex digit represents four binary digits.

A half-byte (also known as a nibble) consists of four binary digits. These can be more amiably represented in hex, where they range from 00 to FF. Accordingly, a single byte can store binary values between 0000 0000 and 1111 1111.

In HTML programming, colors are denoted by a 6-digit hexadecimal number. For example, white is denoted by FFFFFF, whereas black is denoted by 000000.

## How to Change Binary to Hexadecimal?

Since hexadecimal integers are condensed copies of binary strings, converting from binary to hex is simple. Keep in mind that each hex digit corresponds to four binary digits. It follows that one hex digit will equal four binary digits. The process is more straightforward than it seems; however, using a binary to hex conversion chart can help you save time.

**Step 1:** is to write down the binary number and arrange the 0s and 1s into four sets. Beginning from the right, perform this. Add additional 0s to the leftmost group if it lacks the necessary numbers to form a set of four.

**Step 2:** Underneath each group, write 8, 4, 2, and 1. The weights of the locations or placeholders in the number are represented by these (23, 22, 21, and 20).

**Step 3:** Each binary group of four will translate to a single hexadecimal digit. Multiply the 8, 4, 2, and 1 by the number above.

**Step 4:** Include the items from each pair of four. Below the groups to which the sums belong, write the sums.

**Step 5:** From left to right, the digits you obtain from each group's sum will give you the hexadecimal number.

**Example** − Convert binary number 1101010 into hexadecimal number.

First convert this into decimal number: = (1101010)_{2}= 1x2^{6}+1x2^{5}+0x2^{4}+1x2^{3}+0x2^{2}+1x2^{1}+0x2^{0}= 64+32+0+8+0+2+0 = (106)_{10}Then, convert it into hexadecimal number = (106)_{10}= 6x16^{1}+10x16^{0}= (6A)_{16}which is answer.

Binary | Hex |
---|---|

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 |