# Electricity

## Boolean Algebra and its Application to Problem Solving and Logic Circuits

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## Lesson Plan 4

### Topic: Binary Numbers.

**
Objectives
**

(a) The student will be able to read a base two number

(b) To convert base two to base ten

**
Development
**

- 1. Introduce binary numbers by having students group a number of articles (match sticks, small cubes, pebbles, etc) in groups of twos.
- 2. Have students re-count the objects but now using only the digits zero and one {0,1}.
- 3. Introduce the place value chart for binary numbers.
- 4. Practice changing from base two to base ten by writing the base two digits on the place value chart.
- 5. Provide many problems for drill and practice.
- 6. Use re grouping to change base lien numbers to base two.
- 7. Introduce the method discussed in the content.

**
Evaluation
**

- ____ (a) Have students count in base two.
- ____ (b) Use their place value chart to do conversion
- ____ (c) Use re-grouping to change from base ten to base two.

**
Materials to be Used
**

- 1. Make a Binary Counter
- ____ Materials needed: board for sides, wire, cards with zero and ones. A wire runs from end to end and passes through a number of cards. Each card has a zero or on one side and a one on the other [ make as many positions as needed]. By turning them around the cards can be made to indicate a given binary number. This can be used to convert from binary to decimal.
- 2. Windows can be made in a rectangular piece of card board which is glued to a similar beck board. Slits are made for the tabs to slide in.
- ____ ____ The tabs would show either on or off. 1 = on, 0 = off. This can be used to show a binary number.

**
Problem Solving
**

(a) A cross word puzzle.

Across | Down | |

1. 10001 Ð1101 | 1. 100011 Ð101 | |

10. 1+ 111 +1111 | 10. 101 X 110 | |

101. a prime number | 11. the solution of the equation | |

X+11=1010 |