Question

What does the base of a number system means?(in computer)​

Answer 1

Explanation:

The base or radix of a number system , in computer, is the actual number of single digit numbers present in that number system, i.e. the total number of digits used in that particular number system. For example: in the decimal number system, the digits 0 to 9 are used i.e. 0,1,2,3,4,5,6,7,8 and 9 therefore the total number of digits used are 10 and the base or radix of decimal number system is 10. Similarly, in hexadecimal number system the characters used are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E and F and the total number of characters are 16, so, it's base is 16.

Answer 2

Answer:

A base is the available numbers in a numbering system. For example, the most commonly known base is a base 10 numbering system or decimal numbers, which are 0,1,2,3,4,5,6,7,8, and 9. Another common base when dealing with computers is the binary base 2, which only has the numbers 0 and 1.

• Types of base

1. Base 2 (Binary)
2. Base 8 (Octal)
3. Base 10 (Decimal)
4. Base 16 (Hexa Decimal)

Explanation:

• Base 2 (Binary)

Binary is a base 2 number system invented by Gottfried Leibniz that is made up of only two numbers: 0 and 1. This number system is the basis for all binary code, which is used to write data such as the instructions that computer processors use, or the digital text you read every day.

• Base 8 (Octal)

Octal is a base-8 number system commonly used to represent binary numbers and other numbers in a shorter form. Below is a basic chart of how a binary number is converted to an octal number.

Binary 1 1 1 1 1 1 1

Octal +200 +100 +40 +20 +10 +4 +2

1

+1

Below are some binary examples and their octal equivalents.

10001111 = 217

10101111 = 257

11010100 = 324

• Base 10 (Decimal)

decimal fraction is a fraction with a denominator of a power of ten, determined by the number of digits to the right of the decimal point or decimal separator. For example, 2/10, 2/100, and 2/1000 are expressed in decimal as 0.2, 0.02, and 0.002.

• Base 16 (Hexa Decimal)

Alternatively referred to as Base 16 or hex, the hexadecimal numbering system uses combinations of 16 character digits to represent numbers. Hexadecimal uses all ten numbers in the decimal system (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and letters A through F. For example, "computer hope" in hexadecimal becomes "636f6d707574657220686f7065".

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