explain any three number system
Answers
The technique to represent and work with numbers is called number system.
- Decimal number system is the most common number system.
Other popular number systems include
- binary number system,
- octal number system,
- hexadecimal number system,
- etc.
Answer:
The three-number systems are:
- decimal number system.
- binary number system.
- octal number system.
Explanation:
The decimal number system
The decimal number system is a base 10 number system having 10 digits from zero to 9. In this manner, any numerical amount may be represented by the usage of those 10 digits. The decimal number system is likewise a positional value system. In this manner, the cost of digits will rely on their position. Let us take an instance to recognize this.
Say we've got 3 numbers – 734, 971, and 207. The cost of seven in all 3 numbers is different−
- In 734, the value of 7 is 7 hundred or 700 or 7 × 100 or 7 × 102
- In 971, the value of 7 is 7 tens or 70 or 7 × 10 or 7 × 101
- In 207, value 0f 7 is 7 units or 7 or 7 × 1 or 7 × 100
Binary Number System
The simplest manner to differentiate commands thru electric-powered indicators is state system – on and off. On is represented as 1 and off as zero, even though zero isn't any sign however sign at a decreased voltage. The variety device having simply those digits – zero and 1 – is known as a binary variety device.
Each binary digit is likewise known as a bit. A binary variety device is likewise a positional value system, wherein every digit has a cost expressed in powers of 2, as displayed here.
And decimal equal of this variety is the sum of the product of every digit with its positional cost.
110102 = 1×2^4 + 1×2^3 + 0×2^2 + 1×21 + 0×2^0
110102 = 16 + 8 + 0 + 2 + 0
110102= 2610
Octal Number System
The octal number system has 8 digits – zero, 1, 2, 3, 4, 5, 6, and 7. Octal variety device is likewise a positional value system wherein every digit has its value expressed in powers of 8.
The Decimal equal of any octal number is the sum of the product of every digit with its positional cost.
7268 = 7×8^2 + 2×8^1 + 6×8^0
= 448 + 16 + 6
= 47010
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