There are multiple number systems in mathematics such as hex, decimal, binary, and more to represent a number in different formats as per requirement. It represents the algebraic and arithmetic structure of the figures and represents a unique representation of each number. It helps us to execute mathematical tasks such as subtraction, division or addition, etc.
ASCII stands for American Standard Code for Information Interchange. It is the most popular format for the internet and computer files for converting Ascii To Text. In an ASCII file, a string of seven 0s or 1s is represented in an alphabetic, numeric, or particular character with a 7-bit binary number. It has 128 characters. American National Standard Institute developed it. It is widely used in DOS and UNIX based operating systems.
In this post, we will discuss the conversion of numbers in detail to understand the conversion of decimal numbers into ASCII code.
Types of Number System in Maths?
In mathematics, there are different types of number systems. Below are the most widely used number systems.
- Base 10 – Decimal number system
- Base 2 – Binary number system
- Base 8 – Octal number system
- Base 16 – Hexadecimal number system
1. Binary Number System
The binary system has a base of 2 and the most widely used number system in various fields. It consists of 0 and 1. The numbers mentioned in this system are referred to as binary numbers that are grouped between 0 and 1.
We can convert the binary system into any other number system and any other number system into the binary system as well.
If you want to convert a decimal number into a binary number, you can do that as follow.
To convert (16)10 to a binary number, divide 16 by 2 and note down the remainders until it is not further divisible.
(16)10 = 100002
2. Decimal Number System
The system of decimal numbers has base 10 as 10 digits are used between 0 and 9. The first position on the left side of the decimal number system represents units, and the second digit represents tens, third represents a hundred, the fourth represents thousand, and so on, etc. It is a way to read decimal numbers from left to right. Base 10 indicates that this system is based on 10 numbers that are 0 to 9.
Every position of digits in the decimal system shows a particular value of the base 10. For example, the decimal number 5268 consists of the digit 8 in the units position, 6 in the tens place, 2 in the hundreds position, and 5 in the thousands place whose value can be written as
(5×1000) + (2×100) + (6×10) + (8×1)
= (5×103) + (2×102) + (6×101) + (8×1)
= 5000 + 200 + 60 + 8
= 5268
3. Octal Number System
The basis in the octal scheme consists of 8 digits, and the numbers vary from 0 to 7. The base of the octal system is 8. In computer applications, the octal number system is widely used. The conversion of octal to decimal is as simple as a decimal to binary, and an example is given below.
To convert 3208 into a decimal, you have to multiply each digit of 320 by the base digit 8. The base digit 8 will have a number as its power. The position of the digit is used as the power of the base digit 8. In the number 324, 4 will be multiplied by 8 with the exponent 0, because the position of the digit 4 is 0. The next digit will be multiplied by 8 with the exponent 1 and so on. You have to add the result of all multiplications in the end to obtain a figure in the decimal system.
3248 = 3 × 82 + 2 × 81 + 4 × 80
= 3 × 64 + 2 × 8 + 4 × 1
= 192 + 16 + 4
= 212
212 is a decimal number converted from an octal number 324.
4. Hexadecimal Number System
Numbers are written or shown with base 16 in the hexadecimal system. The numbers are measured in the hex method as in the decimal system, i.e., from 0 to 9, but after 9, letters from A to F are used to represent numbers. The combination of digits and letters is used in the hex system to represent numbers with a base of 16.
5EB52 is a hexadecimal number that can be converted into other number systems using the methods stated above.
Converting decimal number into ASCII code
Decimal numbers can be converted into ASCII code by using the ASCII chart. There are few algorithms available to convert a decimal number into ASCII code.
The best method is to divide the decimal number with 10, which will result in producing the remainder and the quotient. The remainder is transformed into an ASCII character and included in the string with quotient. It will be added if the next iteration is not zero.
You can also use the online converter to convert a decimal number to the ASCII code. Using an online converter is very easy and time saving for this process. You can save your precious time by not wasting time to convert the decimal into ASCII manually. There is no need to dive so deep to convert a number into ASCII code when you have free online decimal to ASCII converter. You can convert a number in ASCII, hex, binary, and decimal number system with one click.
Conclusion
It is essential to have knowledge of the number system and ASCII before trying to convert a number into another system. Now that you have basic knowledge about different number systems, you can convert any number into other number systems by using the methods stated above. An online converter is the best service to convert a number without wasting your time on heavy calculations. These converts have a very simple interface and make the process of converting very simple.
