For Grade 7 Students

1. BINARY NUMBER SYSTEM (Part
1)

2. INTRODUCTION
The binary number system is a base-2 number
system. This means it only has two numbers: 0 and
1. The number system that we normally use is the decimal
number system. It has 10 numbers: 0-9.
TERMS TO DEFINE: Binary, Number systems, bit, byte

3. OBJECTIVES:
1. understand why computers speak in binary
2. convert decimal numbers into binary and vice-versa
3. understand how media files are converted into binary

4. Binary Number Systems

5. Binary Number Systems
The binary number system is a base-2 number
system. This means it only has two numbers: 0 and 1.
The number system that we normally use is the
decimal number system. It has 10 numbers: 0-9.

6. Why use binary numbers? Binary numbers are very useful
in electronics and computer systems. Digital
electronics can easily work with a sort of "on" or "off"
system where "on" is a 1 and "off" is a zero. Often
times the 1 is a "high" voltage, while the 0 is a "low" voltage
or ground.

9. A digit in binary is called a bit.
A collection of 8 bits is called a byte.

10. Converting from Binary to Decimal
If you want to convert a number from binary to decimal,
you can
add up the "places" that we showed above. Each place that
has a "1" represents a power of 2, starting
with the 0s place.

14. Converting from Decimal to Binary. The easiest method of
converting decimal to binary is by using
long division.
Example: Convert 2710 to binary.
210

15. 1. Divide the decimal number by 2, and record the
remainder:
27÷ 2=13 (remainder 1 )

16. 2. Repeat this process over and over until we can’t divide
the number by 2. Here, we used long
division so we can see the remainders easily.