The document discusses converting between binary and decimal number systems. It explains that binary numbers have a base of 2 and consist of the digits 0 and 1, while decimal has a base of 10 and uses digits 0-9. It provides examples of converting the binary numbers 1101 and 10111 to decimal by writing out the place values and summing the values of the 1s. Additionally, it demonstrates converting the decimal numbers 16 and 58 to binary by repeatedly dividing by 2 and recording the remainders.

1. Remediation Class
Grade 9 | TLE-CSS
TOPICS: Conversion of Binary to Decimal vice-versa and
Calculating Storage Capacity
10-February-2021 | 2:00 PM | Ms. Elrene Cruz

2. Binary to Decimal
What is the base of Binary numbers?
Ans. Two (2)
TOPIC: Conversion of Binary to Decimal and Decimal to Binary Number System
Why 2?
Ans. Because the number of digits in Binary Number system are TWO.
Which are 1,0.

3. Convert Binary to Decimal
1101 =
TOPIC: Conversion of Binary to Decimal and Decimal to Binary Number System
1 1 0 1
23 22 21 20
Write the
powers of 2
Value
8+4+1=13
13
8 4 2 1
Add the value of “1”

4. Convert Binary to Decimal
10111 =
TOPIC: Conversion of Binary to Decimal and Decimal to Binary Number System
1 0 1 1 1
24 23 22 21 20
Write the
powers of 2
Value
16+4+2+1=23
23
16 8 4 2 1
Add the value of “1”

5. Decimal to Binary
What is the base of Decimal numbers?
Ans. 10
TOPIC: Conversion of Binary to Decimal and Decimal to Binary Number System
Why 2?
Ans. Because the number of digits in Binary Number system are TEN.
Which are 0,1,2,3,4,5,6,7,8,9.

6. Convert Decimal to Binary
16
TOPIC: Conversion of Binary to Decimal and Decimal to Binary Number System
2
8 2 r. 0
4 2 r. 0
2 r. 0
2
2 r. 0
1
2 r. 1
0
16 = 10000

7. Convert Decimal to Binary
58
TOPIC: Conversion of Binary to Decimal and Decimal to Binary Number System
2
29 2 r. 1
14 2 r. 0
2 r. 1
7
2 r. 1
3
2 r. 1
1 58 = 111010
2 r. 1
0