DateDial.Com
Calculators for everyday use!
Custom Search
Home Average Speed Decimal To Fraction


Number Base Converter

The decimal system is perhaps, the best known of the number systems. It got its name because it is a base-ten system. The value of each place is ten times greater than the value of the place just to its right. A thousand is 10 times 100; a hundred is 10 times 10; ten is 10 times 1.

For example, the value of 2,345 is:

 
Thousands Hundreds Tens Units
2 3 4 5
 
ie. 2x1000 + 3x100 + 4x10 + 5x1 = 2,345
 
On the other hand, the computer uses the binary numbering system. Here, the value of each place is two times greater than the value of the place just to its right. Binary means two thus the system is represented by 0s and 1s.

An example, the value of 1001101 is:

 
64 32 16 8 4 2 1
1 0 0 1 1 0 1
 
(64x1) + (32x0) + (16x0) + (8x1) + (4x1) + (2x0) + (1x1) = 77
 
A similar procedure is followed for any other base:
 
Place values depending on Base
B/L 6 5 4 3 2 1
5 3,125 625 125 25 5 1
7 16,807 2,401 343 49 71
8 32,768 4,096 512 64 8 1
13 371,293 28,561 2,197 169 13 1
B/L=Base/Level
 
The base value of a number system is the number of different values the set has before repeating itself.

That means the higher the base the lower the number of digits required to represent a number.

The reverse is inversely true; the lower the base, the higher the number of digits required to represent the number.

  • A Base 13 numbering system is represented by 0 - 9, A - C
  • Binary has 2 base values(0, 1)
  • Decimal has 10 base values(0 - 9)
  • Octal has 8 base values(0 - 7)
  • Duodecimal has 12 base values(0 - 9, A - B)
  • Hexadecimal has 16 base values(0 - 9, A-F)

Below, input any decimal number; choose the base (up to 36); press "Get Results", to see the result.

 
Convert Number To Given Base








Convert Binary to Decimal or Decimal to Binary





Google
 


Home About Us
Contact Us Which Day This Date Add Time To Date


CLICK HERE if you have any ideas for calculators you would like to see added; or improvements to existing ones made. Please tell us of any errors observed!



About Numbers
Combine & Permutate
Roman/Arabic Numerals
Factors Of A Number
HCF / LCM
Mental Multiplication
Nature Of Numbers
Prime Numbers
Random Numbers Generator
Square Root Progression
Conversions
Binary To Decimal
Liquid Measures
Roman/Arabic Numerals
Fahrenheit To Centigrade
Number Base Converter
Dates & Times
Add/Subtract Time Elements
Add/Subtract Time From Date
Days Between Dates
Days In Consecutive Months
Divide Time Into Segments
Months Of The Year
Multiply/Divide Time
Which Day This Date
Which Week Of The Year
Financial
Credit Card Calculator
Cumulative Discount Tables
Discount Tables
Internal Rate Of Return
Payback Period
Rates Of Interest
Rental Equivalents
Reserve Funds
Time To Accumulate Funds
Fractions
Convert Decimal To Fraction
Convert Fraction To Decimal
Add/Sub/Mul/Div Fractions
Lengths
Add/Subtract Lengths
Lengths Conversions
Multiply/Divide Lengths
Multiplications
Multiplication Tables
Multiply/Divide Lengths
Multiply/Divide Time
Multiply/Divide Weights
Miscellaneous
Aspect Ratio Calculator
Average Speed Calculator
Component Of A Circle
Create And Compare Colors
Mean And Standard Deviation
Spaces In The Alphabet
Zodiac Signs
Percentages
Percentage Change
Weights
Add/Subtract Weights
Multiply/Divide Weights
Weights Conversions