The Base 10 Number System
And
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The Base 2 Number System.
We also discuss the conversion of
decimal to binary and vice versa.
Now guys I have a
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I need 3 students.
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Answer
1.) 10011011
2.) 10100101
3.) 10111001
I need another 3 students
To answer the new board work.
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Answer
1.) 101
2.) 189
3.) 123
Now guys lets proceed to another topic.
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We can also convert a decimal fractions to its binary equivalent.
The conversion may be accomplished using several techniques.
a simpler method consists of repeatedly doubling
the decimal fraction and noting the integral part of the product.
The conversion ends when zero fractional part is encountered.
The binary equivalent consist of the integral part
listed from left to right (or top to bottom)
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Therefore
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Therefore guy
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Questions guys??
Sometimes we have a non terminating fractions.
Meaning endless yung computation.
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We also have a
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Converting a real number in base 10
to its binary equivalent is just a matter of
Combining decimal to binary conversation
Of whole numbers and fractional number.
Here is a sample.
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Here are the steps.
1st convert the decimal whole number.
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2nd step is to convert the fractional part
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We can check the decimal to binary
Conversion of real values by using
The counter conversion.
And that is
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We can check the decimal to binary
Conversion of real values by using
The counter conversion.
That is called.
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The expanded notation method is still used
in binary to decimal conversion of real values.
This time however, the place values of the
fractional part are equal the variety of the
fractional are equal to the negative powers of two.
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Pano nakuha yung answer na 0.125?
By dividing 1 over 8.
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One divided by 8 ay cannot be.
So what shall we do?
We will put a point (.)
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And then we will add a
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Zero.
Ten divided by eight
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Ooppps lagay muna tayo ng point sa taas.
Baka maligaw tayo eh.
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One times eight?
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Ten minus eight?
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Two divided by eight?
Cannot be. So we will add another zero.
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Twenty divided by eight?
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Two times eight?
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And then, what is next??
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We will subtract.
Zero minus six?
Cannot be.
We will borrow one from two.
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Ten minus six?
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Answer is four
Then the two will become one.
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One minus one?
We will get the answer of
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We can also subtract sixteen to twenty.
And still the answer is four.
Now four divided by eight?
Cannot be. So we will add another zero.
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Forty divided by eight?
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The answer is five.
Then
Five times eight?
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The answer is forty.
Then we will subtract.
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Forty minus forty?
The answer is zero.
Na hindi na kasya..
What is the final answer?
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So let’s continue the computation.
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That is the final answer.
Question guys??
Now let’s proceed to
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Binary addition is simple to learn
it only involves two characters – 0 and 1.
It is no different from decimal number addition.
Adding these two numbers will result only
4 possible combinations and they are as follows:
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Clear??
Question??
Clarification??
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Clear??
Question??
Clarification??
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