Q1W3D2 CONVERSION OF COMPUTER NUMBER SYSTEMS (BINARY TO DECIMAL).pptx

)
)
)
)
)
)
)
)
)
Dear Lord and Father of all, Thank you for today.
Thank you for ways in which you provide for us all.
For Your protection and love we thank you. Help us
to focus our hearts and minds now on what we are
about to learn. Inspire us by Your Holy Spirit as we
listen and write. Guide us by your eternal light as we
discover more about the world around us.
We ask all this in the name of Jesus.
Amen.
)
)
)
)
)
)
)
)
)
PRAYER

)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
QUARTER 1- WEEK3 - DAY 2

)
)
)
)
)
)
)
)
)Change the order of the following steps in the
conversion of decimal to binary.
)
)
)
)
)
)
)
)
)
REVIEW
Divide the number by two.
Get the quotient and divide it again by two. Write the
quotient and remainder in its column.
Write the quotient and the remainder on its
corresponding column.
Copy the remainder from bottom to top. That is the
binary equivalent of the number.
Continue dividing until the quotient results in zero.
Always write its quotient and remainder in their column.

CONVERSION OF
COMPUTER NUMBER
SYSTEMS
Conversion of Binary to Decimal

)
)
)
)
)
)
)
)
) CONTENT
STANDARDS
Demonstrate an
understanding of
conversion of computer
number systems.
)
)
)
)
)
)
)
)
)

)
)
)
)
)
)
)
)
)
LEARNING
COMPETENCIES
Apply conversion of
computer number
systems.
)
)
)
)
)
)
)
)
)

)
)
)
)
)
)
)
)
)
LEARNING
OUTCOMES
Identify the steps in the
conversion of binary to
decimal.
Convert binary to
decimal.
Appreciate the significance of
learning conversion of the
number system.
)
)
)
)
)
)
)
)
)

)
)
)
)
)
)
)
)
)
Check or Verify- make sure or
demonstrate that (something) is
true, accurate.
Superscript- a letter, figure, or
symbol written or printed above
the line.
Subscript- a letter, figure, or
symbol written or printed below
the line.
)
)
)
)
)
)
)
)
)
REMEMBER!

)
)
)
)
)
)
)
)
)
1. Divide: quotient. Multiply:
_______
2. Decimal: ten Binary: ___
3. Convert: translate Check:
______
4. Subscript: Base ___________:
Exponent
)
)
)
)
)
)
)
)
) Word Analogy
product
two
verify
superscript

)
)
)
)
)
)
)
)
)
Binary uses the base of 2 and it has
only two (2) symbols which are zero
(0) and one (1). The conversion of
numbers from binary to decimal is
important as it helps to read
numbers that are represented as a
set of zeros (0s) and ones (1s).
)
)
)
)
)
)
)
)
)

)
)
)
)
)
)
)
)
)
Step 1. Starting with the rightmost digit, list all of
the exponents of 2. The first power would be 20
and as we move on to the left side.
)
)
)
)
)
)
)
)
)
place value method

)
)
)
)
)
)
)
)
)
Step 2: Now multiply each digit in the binary
number starting from the right with its respective
weight based on its position and evaluate the
product.
)
)
)
)
)
)
)
)
)
place value method

)
)
)
)
)
)
)
)
)
Step 3: Finally, sum up all the products obtained for
all the digits in the binary number.
)
)
)
)
)
)
)
)
)
place value method

)
)
)
)
)
)
)
)
)
Step 1: Start with a table of binary column values.
)
)
)
)
)
)
)
)
)
table method

)
)
)
)
)
)
)
)
)
Step 2: Write the given binary number in the
columns.
)
)
)
)
)
)
)
)
)
table method

)
)
)
)
)
)
)
)
)
Step 3: Add each of the columns with values of 1.
)
)
)
)
)
)
)
)
)
table method

)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
table method

)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
ACTIVITY: place value method
1. 11011
16 + 8 + 2 + 1=
1
1
0
1
1
1 x 20
= 1
1 x 21
= 2
0 x 22
= 0
1 x 23
= 8
1 x 24
= 16

)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
)
)
)
)
)
)
)
)
ACTIVITY: table method
0
1
2
3
4
5
6
7
1. 11011

)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
1 1 0 1 1
)
)
)
)
)
)
)
)
1. 11011
0
1
2
3
4
5
6
7
16 + 8 + 2 + 1= 27

)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
2. 110100
0
0
1
0
1
1
0 x 20
= 0
0 x 21
= 0
1 x 22
= 4
0 x 23
= 0
1 x 24
= 16
1 x 25
= 32
32 + 16 + 4 = 52

)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
)
)
)
)
)
)
)
)
2. 110100
0
1
2
3
4
5
6
7

)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
1 1 0 1 0 0
)
)
)
)
)
)
)
)
2. 110100
0
1
2
3
4
5
6
7
32 + 16 + 4 = 52

)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
3. 01001100
64 + 8 + 4 = 76
0
0
1
1
0
0
0 x 20
= 0
0 x 21
= 0
1 x 22
= 4
1 x 23
= 8
0 x 24
= 0
0 x 25
= 0
1 x 26
= 64
1

)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
)
)
)
)
)
)
)
)
3. 01001100
0
1
2
3
4
5
6
7

)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
0 1 0 0 1 1 0 0
)
)
)
)
)
)
)
)
3. 01001100
0
1
2
3
4
5
6
7
64 + 8 + 4 = 76

)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)

1. Why do we need to learn to
convert Binary to decimal? How
does conversion help you as a
learner?

2. How can you apply your
learning in the conversion in
your daily life? Explain your
answer.

)
)
)
)
)
)
)
)
)
Directions: Convert the following binary to
decimal. Show your solution. (You can
choose between place value method and
table method.)
1. 110112
2. 1011012
3. 1110112
4. 0101012
5. 10101012
)
)
)
)
)
)
)
)
)
FormatIve Assessment

)
)
)
)
)
)
)
)
)
1. 110112
)
)
)
)
)
)
)
)
)
16+8+2+1 = 2710
1
1
0
1
1
1 x 20
= 1
1 x 21
= 2
0 x 22
= 0
1 x 23
= 8
1 x 24
= 16

)
)
)
)
)
)
)
)
)
1. 110112
)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
1 1 0 1 1
16+8+2+1 = 2710
0
1
2
3
4
5
6
7

)
)
)
)
)
)
)
)
)
2. 1011012
)
)
)
)
)
)
)
)
)
32+8+4+1 = 4510
1
0
1
1
0
1
1 x 20
= 1
0 x 21
= 0
1 x 22
= 4
1 x 23
= 8
0 x 24
= 0
1 x 25
= 32

)
)
)
)
)
)
)
)
)
2. 1011012
)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
1 0 1 1 0 1
32+8+4+1 = 4510
0
1
2
3
4
5
6
7

)
)
)
)
)
)
)
)
)
3. 1110112
)
)
)
)
)
)
)
)
)
32+16+8+2+1 =
7
1
1
0
1
1
1
1 x 20
= 1
1 x 21
= 2
0 x 22
= 0
1 x 23
= 8
1 x 24
= 16
1 x 25
= 32

)
)
)
)
)
)
)
)
)
3. 1110112
)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
1 1 1 0 1 1
32+16+8+2+1 =
0
1
2
3
4
5
6
7

)
)
)
)
)
)
)
)
)
4. 0101012
)
)
)
)
)
)
)
)
)
16+4+1 = 2110
1
0
1
0
1
0
1 x 20
= 1
0 x 21
= 0
1 x 22
= 4
0 x 23
= 0
1 x 24
= 16
0 x 25
= 0

)
)
)
)
)
)
)
)
)
4. 0101012
)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
0 1 0 1 0 1
16+4+1 = 2110
0
1
2
3
4
5
6
7

)
)
)
)
)
)
)
)
)
5. 10101012
)
)
)
)
)
)
)
)
)
64+16+4+1 = 8510
1
0
1
0
1
0
1 x 20
= 1
0 x 21
= 0
1 x 22
= 4
0 x 23
= 0
1 x 24
= 16
0 x 25
= 0
1 x 26
= 64
1

)
)
)
)
)
)
)
)
)
5. 10101012
)
)
)
)
)
)
)
)
)
2 2 2 2 2 2 2 2
128 64 32 16 8 4 2 1
1 0 1 0 1 0 1
64+16+4+1 = 8510
0
1
2
3
4
5
6
7

)
)
)
)
)
)
)
)
)
Directions: Convert the following
binary to decimal. Show your
solution.
1. 101102
2. 11112
3. 1010012
4. 1001102
5. 1002
)
)
)
)
)
)
)
)
)
homework

Q1W3D2 CONVERSION OF COMPUTER NUMBER SYSTEMS (BINARY TO DECIMAL).pptx

More Related Content

Similar to Q1W3D2 CONVERSION OF COMPUTER NUMBER SYSTEMS (BINARY TO DECIMAL).pptx (20)

Recently uploaded (20)

Q1W3D2 CONVERSION OF COMPUTER NUMBER SYSTEMS (BINARY TO DECIMAL).pptx