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objectives. Identify and differentiate
among various computer number systems
including binary, octal, decimal, and hexadimal.
hexadimal.
Interpret and analyze binary and
hexadimal representations in real world
computing applications such as memory
addresses and machine instructions.
Demonstrate perseverance and attention
to detail when solving number system
problems. Recognizing the importance of
precision and integrity in computing tasks.
Before we start with the lesson, let us
have a short game. The title of the game
is the secret code challenge.
Instructions. The class will be divided
into groups. Each group will receive an
envelope with a secret message written
in binary codes. You will have a maximum
of 10 minutes to decode the message
written in the envelope. Once the group
cracked the code, one member will raise
Have you ever thought about how
computers understand numbers and letters?
Computers don't use our usual counting
system. Instead they use number systems
like binary, octal, decimal and
hexadimal to store and process information.
The computer number systems. The binary
system uses only two digits 0 and one.
Computers love binary because it's
simple and matches how they turn
electricity on and off. Octal base 8,
decimal base 10, and hexadesimal base 16
help us write long binary numbers in a
shorter, easier way. By learning these
number systems, you will discover how
computers read and work with everything
you see on a screen, from text and
pictures to videos and games. It's like
learning the secret code that computers
What is the binary number system? The
binary number system is the way
computers represent and work with
numbers using only two symbols zero and
one. That's why it's called base 2
because it has two possible digits in
each place. Each digit in a binary
number is called a bit short for binary
digit. Bits are grouped together to
store data. For example, eight bits make
a bite which can represent letters,
What is the octal number system? The
octal number system is a way of counting
and representing numbers using base 8.
Which means it only uses the digits 0 to
7. After seven, instead of going to
eight like in decimal, octal rolls over
to the next place value. Just like how
decimal rolls over after 9, octal is
useful in computing because it can
shorten long binary numbers. Each octal
digit represents exactly three binary
digits bits, making it easier for people
to read or write binary numbers in a
What is the decimal number system? The
decimal number system is the way we
usually count and do math every day.
It's also called the base 10 system
because it uses 10 different digits. 0 1
2 3 4 5 6 7 8 and 9. In decimal, each
digits value depends on its place or
position in the number. This is called
the place value system. The decimal
system is important because it's how we
read prices, measure things, and do most
math in daily life. It's the most
familiar number system for humans, even
though computers use binary and other
What is the hexadesimal number system?
The hexadesimal number system or hex for
short is a way of counting using base
16. Unlike the decimal system base 10
which uses the digits 0 to 9, the
hexadimal system uses 16 symbols. the
numbers 0 to 9 just like decimal and the
letters A to F which stand for the
decimal numbers 10 to 15. Hexadesimal is
very important in computers because it
makes reading and writing long binary
numbers easier. One hex digit represents
exactly four binary digits bits.
Activity instructions. Identify the
following numbers if it belongs to
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