Question

What is the difference between decimal and binary numbering systems give examples of when you would use each?

Answer 1

The difference between decimal and binary system are-

• The base-10 system, often known as the decimal system, is the oldest and most widely used system of numbers.
• The binary number system, often known as base 2, is used by computers.

What is decimal system?

Our daily use of numbers is based on a decimal number system, which uses 10 digits. A number system in mathematics is thought of as the use of digits or symbols to represent numbers.

• The binary number system, the decimal number system, the octal number system, and the hexadecimal number system are the four primary varieties of the number system.
• Given that it was challenging to multiply & divide big numbers by hand in earlier civilizations, this decimal system system is sometimes called as the Hindu-Arabic and Arabic number system.

What is binary system?

The base-2 number system is the binary system. That implies that it solely use the digits 0 and 1. The 1 one location is moved to its left into the 2s place when adding one to one, and a 0 is placed in the ones place, yielding the number 10. In such a base-10 system, 10 thus = 10. 10 = 2 in the base-2 system.

• The place values in a base-2 system begin with ones and progress to twos, fours, then eights as one move to its left.
• This is due to the base-2 system's foundation in powers of two.
• A bit is the term for each binary digit.

Therefore, a binary number system only employs two different digits(0 and 1), whereas decimal number system includes ten different digits (ranging from 0 to 9).

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