BİNARY NUMBERS

    Introduction: Before giving out the worksheet on page 6, it can be helpful to demonstrate the principles to the whole group. For this activity, you will need a set of five cards, as shown below, with dots on one side and nothing on the other. Choose five students to hold the demonstration cards at the front of the class.

     Discussion: As you give out the cards (from right to left), see if the students can guess how many dots are on the next card. What do you notice about the number of dots on the cards? (Each card has twice as many as the card to its right.) How many dots would the next card have if we carried on to the left? (32) The next…? (64) We can use these cards to make numbers by turning some of them face down and adding up the dots that are showing. Ask the students to show 6 dots (4-dot and 2-dot cards), then 15 (8-, 4-, 2- and 1-dot cards), then 21 (16, 4 and 1)… The only rule is that a card has to be completely visible, or completely hidden.

      What is the smallest number of dots possible? (They may answer one, but it’s zero). Now try counting from zero onwards. The rest of the class needs to look closely at how the cards change to see if they can see a pattern in how the cards flip (each card flips half as often as the one to its right). You may like to try this with more than one group. When a binary number card is not showing, it is represented by a zero. When it is showing, it is represented by a one. This is the binary number system.

       Ask the students to make 01001. What number is this in decimal? (9) What would 17 be in binary? (10001) Try a few more until they understand the concept. There are five optional follow-up extension activities, to be used for reinforcement. The students should do as many of them as they can.

       This game is played in 2 stages.

        In the first phase, you open the cards in the combination you want.

we put the card with the number 1 written under the opened cards.

We put the card with zerro numbers underneath the unopened cards

He’s counting the total number of cards opened.

             In the second stage of this game, the teacher says a number.

             They opens the cards that count the cards from the cards in the hands of the students

The aim here is; Encode the mentioned number in computer mode.