Table of Contents

- 1 Why is it that in the binary to hexadecimal conversion it needs to group the given binary digits into 4?
- 2 Why do we use hexadecimal instead of binary?
- 3 How the hexadecimal to binary conversion and binary to hexadecimal conversion are done?
- 4 Why do we use hexadecimal code in computer system?
- 5 Why are subscripts to converts number systems used to converts numbers from binary to decimal or decimal to binary?

## Why is it that in the binary to hexadecimal conversion it needs to group the given binary digits into 4?

Because of this relationship, four digits in a binary number can be represented with a single hexadecimal digit. This makes conversion between binary and hexadecimal numbers very easy, and hexadecimal can be used to write large binary numbers with much fewer digits.

## Why do we use hexadecimal instead of binary?

The main reason why we use hexadecimal numbers is because it provides a more human-friendly representation and is much easier to express binary number representations in hex than it is in any other base number system. Computers do not actually work in hex.

**What are the rules for converting a decimal number to binary in short answer?**

An easy method of converting decimal to binary number equivalents is to write down the decimal number and to continually divide-by-2 (two) to give a result and a remainder of either a “1” or a “0” until the final result equals zero. So for example. Convert the decimal number 29410 into its binary number equivalent.

**Why do we need hexadecimal number system?**

Hexadecimal numerals are widely used by computer system designers and programmers because they provide a human-friendly representation of binary-coded values. Each hexadecimal digit represents four bits (binary digits), also known as a nibble (or nybble).

### How the hexadecimal to binary conversion and binary to hexadecimal conversion are done?

Binary and hexadecimal number systems have their own base numbers which help in the conversion process. The base number of the hexadecimal is 16 and the base number of binary is 2. To convert hexadecimal to binary, we need to convert the hexadecimal digits to decimal to finally convert to binary.

### Why do we use hexadecimal code in computer system?

Hexadecimal (or hex) is a base 16 system used to simplify how binary is represented. This means an 8-bit binary number can be written using only two different hex digits – one hex digit for each nibble (or group of 4-bits). It is much easier to write numbers as hex than to write them as binary numbers.

**What is the purpose of hexadecimal number system?**

**How can we convert binary numbers to decimal numbers and decimal number to binary numbers?**

How to convert decimal to binary

- Divide the number by 2.
- Get the integer quotient for the next iteration.
- Get the remainder for the binary digit.
- Repeat the steps until the quotient is equal to 0.

## Why are subscripts to converts number systems used to converts numbers from binary to decimal or decimal to binary?

Answer: In the binary number system, the weight of each digit increases by a factor of 2 as shown. Note that in number conversion systems “subscripts” are used to indicate the relevant base numbering system, 10012 = 910. If no subscript is used after a number, then it is generally assumed to be decimal.