Computers use binary Number. And some questions can be fixed
using binary number.

A Binary number is created up of only 0s and 1s.

110100

Example of a Binary Number

There is no 2,3,4,5,6,7,8 or 9 in Binary!

How do we Depend using Binary?

Binary

0 We begin at 0

1 Then 1

??? But then there is no icon 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 number in Decimal

10 So
we begin returning at 0 again, but add 1 on the left

The same factor is done in binary ...

Binary

0
Start at 0

• 1 Then
1

•• 10 Now
begin returning 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 number, we ...

100 ...
begin returning 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
returning at 0 again, but add 1 on the left

••• 11

•••• 100 start
returning at 0 again, and add one to the amount on the remaining...

... but time is already at 1 so it also goes returning to 0
...

... and 1 is included to the next position on the left

••••• 101

•••••• 110

••••••• 111

•••••••• 1000 Start
returning at 0 again (for all 3 digits),

add 1 on the left

••••••••• 1001 And
so on!

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

Decimal vs Binary

Here are some comparative 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 bigger comparative values:

Decimal: 20 25 30 40 50 100 200 500

Binary: 10100 11001 11110 101000 110010 1100100 11001000 111110100

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

Now see how you can use Binary to count previous 1,000 on
your fingers:

Activity: Binary Fingers

Position

In the Decimal Program there are the Models, 10's,
Thousands, etc

In Binary, there are Models, Couples, Four legs, 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 remaining or right of the
factor, to indicate principles higher than one or less than one.

10.1

The number to the remaining of the
factor is a whole number (10 for example)

As we shift further remaining, every number place

gets 2 periods bigger.

The first number on the right
indicates sections (1/2).

As we shift further right, every
number position

gets 2 periods more
compact (half as big).

Example: 10.1

• The
"10" indicates 2 in decimal,

• The
".1" indicates 50 percent,

• So
"10.1" in binary is 2.5 in decimal

You can do alterations at Binary to Decimal to Hexadecimal
Ripper.

Words

The term binary comes from "Bi-" significance two.
We see "bi-" in terms such as "bicycle" (two wheels) or
"binocular" (two eyes).

When you say a binary number,
articulate each number (example, the binary number "101" is verbal as
"one zero one", or sometimes "one-oh-one"). This way
individuals don't get puzzled with the decimal number.

A individual binary number (like "0" or
"1") is known as a "bit". For example 11010 is five pieces
lengthy.

The term bit is created up from the terms "binary
digit"

How to Display that a Variety is Binary

To reveal that several is a binary number, adhere to it with
a little 2 like this: 1012

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

Examples

Example: What is 11112 in Decimal?

• The
"1" on the remaining is in the "2×2×2" position, so that
indicates 1×2×2×2 (=8)

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

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

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

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

Example: What is 10012 in Decimal?

• The
"1" on the remaining is in the "2×2×2" position, so that
indicates 1×2×2×2 (=8)

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

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

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

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

Example: What is 1.12 in Decimal?

• The
"1" on the remaining part is in the units position, so that indicates
1.

• The 1 on
the right part is in the "halves" position, so that indicates 1×(1/2)

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

Example: What is 10.112 in Decimal?

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

• The
"0" is in the units position, so that indicates 0

• The
"1" on the right of the factor is in the "halves" position,
so that indicates 1×(1/2)

• The last
"1" on the right part is in the "quarters" position, so
that indicates 1×(1/4)

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

"There are 10 types of peoples in the world,

those who comprehend binary figures, and those who
don't."

Question 1 Query 2 Query 3 Query 4 Query 5 Query 6 Query 7
Query 8 Query 9 Query 10

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