Goseeko blog # What is a number system in digital electronics?

• A number system is a way of writing any number.
• It can be represented by using any symbols or digits.
• It provides distinctive representation for each number.
• We can calculate value of any digit with the help of its position and base value.

## Decimal Number System

• This is the most commonly used number system with base value of ten.
• It uses ten digits from 0 to 9.
• The leftmost position from decimal is units, tens, hundred and so on.
• The number 5312 has 2 in units place, 1 in tens place, 3 in hundreds place and 5 in thousands place.
• We can also express the number as

(5×1000) + (3×100) + (1×10) + (2×l)

=(5×103) + (3×102) + (1×101) + (2×l00)

=5000 + 300 + 10 + 2

=5312

## Binary Number System

• This number system has only two digits 0 and 1.
• The base of the binary number system is 2.
• The position of each number is the power of the base.

Convert 101012 to decimal number?

Note: We can write 101112 as 10111.

## Octal Number System

• The base value of this number system is eight.
• It has total eight digits from 0 to 7.
• Therefore we call it the octal number systems.
• The position of each number is the power of the base.

Convert 125698 to decimal number?

Note: We can write 125758 as 12575 in octal.

• This number system consists of ten digits and six letters.
• The digits are 0-9 and letters A-F.
• The value of these letters in the form of numbers is given as A = 10, B = 11, C = 12, D = 13, E = 14, F = 15.
• The base value of this number system is sixteen.
• The position of each number is equal to the power of the base.

Convert 19FBA16 to decimal number?

Note: We can write 19FDA16 as 19FDA in hexadecimal.

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