Linary Timepiece



Linary Timepiece uses Linary Numeral System, base four positional system for expressing numbers using the following symbols called Linits:

Linit

_

/

\

-

Value

0

1

2

3

Any number can be expressed in Linary system by expressing it in the form:
ln4n + ln – 14n - 1 + ln – 24n - 2 + ... + l040
where enumerated linits lnln - 1ln - 2 ... l0 are in descending order and have values between 0 and 3 expressed using symbols defined in the above table.

Linary numeral system can be easly encoded (or decoded) by grouping a number expressed in binary digits by two and drawing a line between the two binary digits in a group in such a way that if a binary number has a vluae of 0 the end of a line (linit) representing this binary digit is in a lower position, if a binary number has a vlaue of one, the end of the line (linit) representing this digit is in a higher position. Each linit in the linary system represents a group of two binary digits and the position of each end of the linit represents the value of each binary digit within the group.

Linary numeral system and its relationship to binary system:

Linit

binary value

2n   2n-1

25   24

23   22

21   20


Because a group of two binary numbers can have four values (00,01,10,11)
a linit representing the two binary digits can have the following four shapes:,,,, as defined in the first table.


Example:

In the above example:

Seconds, represented by =11 00 11 (binary) = 1*25+1*24+0*23+0*22+1*21+1*20 = 32+16+0+0+2+1 = 51 seconds
or in base 4 notation: 3*42+0*41+3*40= 48 + 0 + 3 = 51

Hours, represented by =01 00 (binary) = 0*23+1*22+0*21+0*20 = 0 + 4 + 0 + 0 = 4 O'Clock
or in base 4 notation: 1*41+0*40 = 4 + 0 = 4

Minutes, represented by =10 10 10 (binary) = 1*25+0*24+1*23+0*22+1*21+0*20 = 32+0+8+0+2+0 = 42 minutes
or in base 4 notation: 2*42+2*41+2*40 = 32+8+2 = 42

Day of a month, represented by =00 11 00 (binary) = 0*25+0*24+1*23+1*22+0*21+0*20 = 0+0+8+4+0+0 = 12th day
or in base 4 notation: 0*42+3*41+0*40= 0 + 12 + 0 = 12

To see a live example click here

Android wearable linary watch: Google Play

Linary Numeral System is a patent pending application


First 25 values expressed in linary notiation:

Decimal

Linary

Binary

0

000000

1

000001

2

000010

3

000011

4

000100

5

000101

6

000110

7

000111

8

001000

9

001001

10

001010

11

001011

12

001100

13

001101

14

001110

15

001111

16

010000

17

010001

18

010010

19

010011

20

010100

21

010101

22

010110

23

010111

24

011000

25

011001