Binary Numbers

Who can still remember our

previous topic?

Who wants prizes?

• I want someone to assemble the

  puzzle inside of this box.

• Whoever can assemble the puzzle will get the prize.

...Puzzle

What have you observe with the

picture?

Binary Number

• Computers use binary codes to represent

  and interpret letters, numbers and special

  characters with bits.

Converting Decimal Numbers to Binary Numbers

and Vice Versa

Let's Convert Numbers as a Team

• The instructions are written on the Sheet.

• After reading the given sheet with your group mates, answer the given question on the slide being shown.

• For Group 1, answer item number 1, for group 2 answer item number 2, and so on such that Group 7 will answer item number 7.

• Choose your representative to explain your answer in front.

Convert the decimal numbers shown below to binary. Perform checking to verify answers.

1.    19

2.    28

3.    37

4.    42

5.    51

6.    48

7.    18

You all did great in our activity!

So now let us go to the discussion proper.

Binary Number?

• The term bit is an abbreviation of binary digit and represents the smallest piece of data.

• Humans interpret words and pictures; computers interpret only patterns of bits.

• A bit can have only two possible values, a one digit (1) or a zero digit (0).

• A bit can be used to represent the state of something that has two states.

• For example, a light switch can be either On or Off; in binary representation, these states would correspond to 1 and 0, respectively.

• Computers use binary codes to represent and interpret letters, numbers and special characters with bits.

• A commonly used code is the American Standard Code for Information Interchange (ASCII).

• With ASCII, each character is represented by a string of bits.

  For example: Capital letter: A = 01000001

  Number: 9 = 00001001

  Special character: # = 00100011

• Each group of eight bits, such as the representations of letters and numbers, is known as a byte.

• Codes can be used to represent almost any type of information digitally: computer data, graphics, photos, voice, video , and music.

Am I understood class?

To further understand the concept of Binary

Numbers, let us watch this video.

Base from our discussion plus the video shown, let us have a recap.

• How do we convert a decimal number to binary?

• What is the first step?

• What's next?

• ...

• ...and what about for the last step?

Quiz Bowl

With the same grouping, we will have a battle of the brains...

Quiz Bowl Mechanics

• We have two categories, the easy and difficult round.

• In the easy round, you are going to answer 5 questions with multiple choices and you are given 20 seconds to answer by clicking on your chosen answer.

• In difficult round, there are also 5 questions, but no choices which means that you need to type in your answer. You have 30 seconds to answer.

Multiple Choice

It is a fundamental unit of information having just two possible values, as either of the binary digits 0 or 1.

• Byte

• Electronic storage

• Fire wire

• Booting

• Bit

Multiple Choice

It is a unit of digital information in computing and telecommunications that most commonly consists of eight bits.

• Booting

• Electronic storage

• Fire wire

• Bit

• Byte

Multiple Choice

How do we represent 9 in binary form?

• 00001001

• 00000110

• 00001110

• 00000011

Multiple Choice

What decimal number is represented by the binary number 00011001?

• 24

• 23

• 26

• 22

• 25

Multiple Choice

How do you we represent 10 in binary form?

• 00000011

• 00001010

• 00000110

• 00100001

• 00001100

Congratulations to...

Assignment

Direction: Answer the following questions on a ½ sheet of paper.

 

1.    What decimal number is presented by the binary number 0000111101010101?

 

2. How do we represent 437 in binary form?