Krypton United States Member #140102 March 11, 2013 891 Posts Offline

Posted: March 7, 2014, 7:43 pm - IP Logged

I've fine quite a but of reading on how some golds convert whole numbers to binary numbers to get the "next" draw number. The only issue is no one ever explains what they do, how try do it and more importantly does it benefit them.

Does se anyone use binary? If so, please explain the pros and cons

But then there is no symbol for 2 ... what do we do?

Decimal

Well how do we count in Decimal?

0

Start at 0

...

Count 1,2,3,4,5,6,7,8, and then...

9

This is the last digit in Decimal

10

So we start back at 0 again, but add 1 on the left

The same thing is done in binary ...

Binary

0

Start at 0

•

1

Then 1

••

10

Now start back at 0 again, but add 1 on the left

•••

11

1 more

••••

???

But NOW what ... ?

Decimal

What happens in Decimal ... ?

99

When we run out of digits, we ...

100

... start back at 0 again, but add 1 on the left

And that is what we do in binary ...

Binary

0

Start at 0

•

1

Then 1

••

10

Start back at 0 again, but add 1 on the left

•••

11

••••

100

start back at 0 again, and add one to the number on the left... ... but that number is already at 1 so it also goes back to 0 ... ... and 1 is added to the next position on the left

•••••

101

••••••

110

•••••••

111

••••••••

1000

Start back at 0 again (for all 3 digits), add 1 on the left

•••••••••

1001

And so on!

See how it is done in this little demonstration (press play):

Decimal vs Binary

Here are some equivalent values:

Decimal:

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Binary:

0

1

10

11

100

101

110

111

1000

1001

1010

1011

1100

1101

1110

1111

Here are some larger equivalent values:

Decimal:

20

25

30

40

50

100

200

500

Binary:

10100

11001

11110

101000

110010

1100100

11001000

111110100

"Binary is as easy as 1, 10, 11."

Position

In the Decimal System there are the Units, Tens, Hundreds, etc

In Binary, there are Units, Twos, Fours, etc, like this:

This is 1×8 + 1×4 + 0×2 + 1 + 1×(1/2) + 0×(1/4) + 1×(1/8) = 13.625 in Decimal

Numbers can be placed to the left or right of the point, to indicate values greater than one or less than one.

10.1

The number to the left of the point is a whole number (10 for example)

As we move further left, every number place gets 2 times bigger.

The first digit on the right means halves (1/2).

As we move further right, every number place gets 2 times smaller (half as big).

The word binary comes from "Bi-" meaning two. We see "bi-" in words such as "bicycle" (two wheels) or "binocular" (two eyes).

When you say a binary number, pronounce each digit (example, the binary number "101" is spoken as "one zero one", or sometimes "one-oh-one"). This way people don't get confused with the decimal number.

A single binary digit (like "0" or "1") is called a "bit". For example 11010 is five bits long.

The word bit is made up from the words "binary digit"

How to Show that a Number is Binary

To show that a number is a binary number, follow it with a little 2 like this: 101_{2}

This way people won't think it is the decimal number "101" (one hundred and one).

Examples

Example: What is 1111_{2} in Decimal?

The "1" on the left is in the "2×2×2" position, so that means 1×2×2×2 (=8)

The next "1" is in the "2×2" position, so that means 1×2×2 (=4)

The next "1" is in the "2" position, so that means 1×2 (=2)

The last "1" is in the units position, so that means 1

Answer: 1111 = 8+4+2+1 = 15 in Decimal

Example: What is 1001_{2} in Decimal?

The "1" on the left is in the "2×2×2" position, so that means 1×2×2×2 (=8)

The "0" is in the "2×2" position, so that means 0×2×2 (=0)

The next "0" is in the "2" position, so that means 0×2 (=0)

The last "1" is in the units position, so that means 1

Answer: 1001 = 8+0+0+1 = 9 in Decimal

Example: What is 1.1_{2} in Decimal?

The "1" on the left side is in the units position, so that means 1.

The 1 on the right side is in the "halves" position, so that means 1×(1/2)

So, 1.1 is "1 and 1 half" = 1.5 in Decimal

Example: What is 10.11_{2} in Decimal?

The "1" is in the "2" position, so that means 1×2 (=2)

The "0" is in the units position, so that means 0

The "1" on the right of the point is in the "halves" position, so that means 1×(1/2)

The last "1" on the right side is in the "quarters" position, so that means 1×(1/4)

So, 10.11 is 2+0+1/2+1/4 = 2.75 in Decimal

"There are 10 kinds of people in the world, those who understand binary numbers, and those who don't."

Krypton United States Member #140102 March 11, 2013 891 Posts Offline

Posted: March 7, 2014, 8:42 pm - IP Logged

Thanks for the lesson or I should say refresher course. I'm an Electronics/Electrical Engineer How does this play into the lotto numbers? If at any time a PM is better than a public pits feel free

But then there is no symbol for 2 ... what do we do?

Decimal

Well how do we count in Decimal?

0

Start at 0

...

Count 1,2,3,4,5,6,7,8, and then...

9

This is the last digit in Decimal

10

So we start back at 0 again, but add 1 on the left

The same thing is done in binary ...

Binary

0

Start at 0

•

1

Then 1

••

10

Now start back at 0 again, but add 1 on the left

•••

11

1 more

••••

???

But NOW what ... ?

Decimal

What happens in Decimal ... ?

99

When we run out of digits, we ...

100

... start back at 0 again, but add 1 on the left

And that is what we do in binary ...

Binary

0

Start at 0

•

1

Then 1

••

10

Start back at 0 again, but add 1 on the left

•••

11

••••

100

start back at 0 again, and add one to the number on the left... ... but that number is already at 1 so it also goes back to 0 ... ... and 1 is added to the next position on the left

•••••

101

••••••

110

•••••••

111

••••••••

1000

Start back at 0 again (for all 3 digits), add 1 on the left

•••••••••

1001

And so on!

See how it is done in this little demonstration (press play):

Decimal vs Binary

Here are some equivalent values:

Decimal:

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Binary:

0

1

10

11

100

101

110

111

1000

1001

1010

1011

1100

1101

1110

1111

Here are some larger equivalent values:

Decimal:

20

25

30

40

50

100

200

500

Binary:

10100

11001

11110

101000

110010

1100100

11001000

111110100

"Binary is as easy as 1, 10, 11."

Position

In the Decimal System there are the Units, Tens, Hundreds, etc

In Binary, there are Units, Twos, Fours, etc, like this:

This is 1×8 + 1×4 + 0×2 + 1 + 1×(1/2) + 0×(1/4) + 1×(1/8) = 13.625 in Decimal

Numbers can be placed to the left or right of the point, to indicate values greater than one or less than one.

10.1

The number to the left of the point is a whole number (10 for example)

As we move further left, every number place gets 2 times bigger.

The first digit on the right means halves (1/2).

As we move further right, every number place gets 2 times smaller (half as big).

The word binary comes from "Bi-" meaning two. We see "bi-" in words such as "bicycle" (two wheels) or "binocular" (two eyes).

When you say a binary number, pronounce each digit (example, the binary number "101" is spoken as "one zero one", or sometimes "one-oh-one"). This way people don't get confused with the decimal number.

A single binary digit (like "0" or "1") is called a "bit". For example 11010 is five bits long.

The word bit is made up from the words "binary digit"

How to Show that a Number is Binary

To show that a number is a binary number, follow it with a little 2 like this: 101_{2}

This way people won't think it is the decimal number "101" (one hundred and one).

Examples

Example: What is 1111_{2} in Decimal?

The "1" on the left is in the "2×2×2" position, so that means 1×2×2×2 (=8)

The next "1" is in the "2×2" position, so that means 1×2×2 (=4)

The next "1" is in the "2" position, so that means 1×2 (=2)

The last "1" is in the units position, so that means 1

Answer: 1111 = 8+4+2+1 = 15 in Decimal

Example: What is 1001_{2} in Decimal?

The "1" on the left is in the "2×2×2" position, so that means 1×2×2×2 (=8)

The "0" is in the "2×2" position, so that means 0×2×2 (=0)

The next "0" is in the "2" position, so that means 0×2 (=0)

The last "1" is in the units position, so that means 1

Answer: 1001 = 8+0+0+1 = 9 in Decimal

Example: What is 1.1_{2} in Decimal?

The "1" on the left side is in the units position, so that means 1.

The 1 on the right side is in the "halves" position, so that means 1×(1/2)

So, 1.1 is "1 and 1 half" = 1.5 in Decimal

Example: What is 10.11_{2} in Decimal?

The "1" is in the "2" position, so that means 1×2 (=2)

The "0" is in the units position, so that means 0

The "1" on the right of the point is in the "halves" position, so that means 1×(1/2)

The last "1" on the right side is in the "quarters" position, so that means 1×(1/4)

So, 10.11 is 2+0+1/2+1/4 = 2.75 in Decimal

"There are 10 kinds of people in the world, those who understand binary numbers, and those who don't."

Good Morning Jani,

Just wanted to say that was an excellent presentation and explanation

of the Binary Code System.

Have a Blessed Day !

Sometimes it's extremely difficult if not practically impossible to get people to disregard the smoke and mirrors. Instead, they seem to enjoy the ride down the proverbial Garden Path....... helpless to extricate themselves from being totally deceived by known forces in their midst who would argue that they have come here for the sole purpose of helping people.......str8ca$hhomie

You will find functions in programming languages, but also in the Windows calculator and in spreadsheets. Binary is used for IP-numbers. Decimal and hex are shorter. We don't use binary for calculations, we learned decimal. As numbers are getting bigger and calculations longer, we use calculators and computers.

When I was at school, we did not learn binary and matrix calculations, we used regular algebra. They invented the computer, so people had to learn binary because a computer is doing with ones and zeros. Look for Neumann. One digit is called bit and eight bits are called byte.

California United States Member #26499 November 18, 2005 81 Posts Offline

Posted: April 5, 2014, 12:52 pm - IP Logged

Binary may help in analysis, but then you are limited, since between numbers, we also have Deltas (difference between current and previous numbers) and the delta difference (difference between current and previous delta between numbers). THus, TERNARY provides more possibilities in examining the numbers, and gives a lot more to play with, or eliminate from.

Marana AZ United States Member #145341 August 3, 2013 178 Posts Offline

Posted: April 11, 2014, 10:29 pm - IP Logged

In electronic circuits, 0 and 1 are represented by a voltage level. In early computers, it was usually +5 volts or +12 volts to represent a binary 1 and either 0 volts or -12 volts to represent a binary 0.

United States Member #124493 March 14, 2012 7023 Posts Offline

Posted: April 11, 2014, 10:42 pm - IP Logged

Quote: Originally posted by SkyLine69 on March 7, 2014

I've fine quite a but of reading on how some golds convert whole numbers to binary numbers to get the "next" draw number. The only issue is no one ever explains what they do, how try do it and more importantly does it benefit them.

Does se anyone use binary? If so, please explain the pros and cons