Step 2: Convert the above number (which is in the decimal system), into the required number system (hexadecimal). Step 1: Convert this number to the decimal number system as explained in the above process. To convert a number from one of the binary/octal/hexadecimal systems to one of the other systems, we first convert it into the decimal system, and then we convert it to the required systems by using the above-mentioned processes.Įxample: Convert 1010111100 2 to the hexadecimal system. Therefore, 4320 10 = 10340 8 Conversion from One Number System to Another Number System Step 3: The given number in the octal number system is obtained just by reading all the remainders and the last quotient from bottom to top. Repeat this process (dividing the quotient again by the base) until we get the quotient less than the base. Step 2: Divide the given number by the base of the required number and note down the quotient and the remainder in the quotient-remainder form. Since we have to convert the given number into the octal system, the base of the required number is 8. Step 1: Identify the base of the required number.
#Different types of numbers in different languages how to
The steps are shown on how to convert a number from the decimal system to the octal system.Įxample: Convert 4320 10 into the octal system. To convert a number from the decimal number system to a binary/octal/hexadecimal number system, we use the following steps. Conversion of Decimal Number System to Binary / Octal / Hexadecimal Number System Here, the sum is the equivalent number in the decimal number system of the given number. Step 3: We just simplify each of the above products and add them. Since the base is 2 here, we multiply the digits of the given number by 2 0, 2 1, 2 2, and so on from right to left. The exponents should start with 0 and increase by 1 every time as we move from right to left. Step 2: Multiply each digit of the given number, starting from the rightmost digit, with the exponents of the base. Step 1: Identify the base of the given number. Let us understand the steps with the help of the following example in which we need to convert a number from binary to decimal number system.Įxample: Convert 100111 2 into the decimal system.
1.Ī number can be converted from one number system to another number system using number system formulas. We will learn the conversions between these number systems and solve examples for a better understanding of the concept. In this article, we will explore different types of number systems that we use such as the binary number system, the octal number system, the decimal number system, and the hexadecimal number system. Similarly, there are various types of number systems that have different properties, like the binary number system, the octal number system, the decimal number system, and the hexadecimal number system. Numbers have various categories like natural numbers, whole numbers, rational and irrational numbers, and so on. A number is a mathematical value used for counting and measuring objects, and for performing arithmetic calculations. Number systems are systems in mathematics that are used to express numbers in various forms and are understood by computers.