What is Binary Number System ? Its Examples | Quicky Tech

 

In mathematics and digital electronics, a binary number is a number expressed in the base- 2 numeral system or binary Number System, which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.

The base-2 numeral system is a public notation with a radix of 2. Each digit is referred to as a bit or binary digit. Because of its straightforward implementation in digital electronic circuits using logic gates, the binary system is used by almost all modern computer and computer based devices as a preferred system of use, over various other human techniques of communication, because of the simplicity of the language.

EXAMPLE 

A method of representing numbers that has 2 as its base and uses only the digits 0 and 1.  Each successive digit represents a power of 2.

 For example, 10011 represents (1 X 24) + (0 X 23) + (0 X 22) + (1 X 21) + (1 X 20), or 16 + 0 + 0 + 2 + 1, or 19.

INVENTION OF BINARY NUMBER SYSTEM

 The modern binary number system goes back to Gottfried Leibniz who in the 17th century proposed and developed it in his article Explication de l'Arithmétique Binaire [1] . Leibniz invented the system around 1679 but he published it in 1703.

The easiest way to vary instructions through electric signals is two-state system – on and off. On is represented as 1 and off as 0, though 0 is not actually no signal but signal at a lower voltage. The number system having just these two digits – 0 and 1 – is called binary number system.

Each binary digit is also called a bit. Binary number system is also positional value system, where each digit has a value expressed in powers of 2, as displayed here.

In any binary number, the rightmost digit is called least significant bit (LSB) and left most digit is called most significant bit (MSB).

And decimal equivalent of this number is sum of product of each digit with its positional value.

110102 = 1×24 + 1×23 + 0×22 + 1×21 + 0×20

= 16 + 8 + 0 + 2 + 0

= 2610

• As you proceed further, you obtain either '0' or '1' a remainder. First remainder is called Least Significant Bit and last remainder is called Most Significant Bit.

Computer memory is measured in terms of how many bits it can store. Here is a chart for memory capacity conversion.

• 1 byte (B) = 8 bits
• 1 Kilobytes (KB) = 1024 bytes
• 1 Megabyte (MB) = 1024 KB
• 1 Gigabyte (GB) = 1024 MB
• 1 Terabyte (TB) = 1024 GB
• 1 Petabyte (PB)= 1024 TB 
• 1 Exabyte (EB) = 1024 PB
• 1 Zettabyte = 1024 EB
• 1 Yottabyte (YB) = 1024 ZB
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