1. Decimal to Binary Conversion Press any key to continue…

2. 1 Use the chart to record the subtraction Press any key to continue… Method 1 - subtraction To convert the decimal number 189 to binary you must subtract the highest number possible first. Place a 1 in the chart for any number you subtract. 189 -128 61 Cannot subtract a 64 61 - 32 29 - 16 13 - 8 5 1101110 - 4 1 - 1 0 Cannot subtract a 2 = 189

3. 0 Use the chart to record the subtraction Press any key to continue… Try another number using Method 1 - subtraction To convert the decimal number 75 to binary you must subtract the highest number possible first. Place a 1 in the chart for any number you subtract. Cannot subtract a 128 75 - 64 11 Cannot subtract a 32 Cannot subtract a 16 11 - 8 3 0011011 Cannot subtract a 4 1 - 1 0 3 - 2 1 = 75

4. 1 Press any key to continue… On a piece of paper convert the number 242 using Method 1 – subtraction. Press any key when you have an answer. To convert the decimal number 242 to binary you must subtract the highest number possible first. Place a 1 in the chart for any number you subtract. 242 - 128 114 - 64 50 - 32 18 - 16 2 Cannot subtract an 8 1110001 Cannot subtract a 4 2 - 2 0 = 242

5. Press any key to continue… Method 2 - division Use the chart to record the division To convert the decimal number 189 to binary you must divide the number by 2. Starting from the right, place a 1 if there is a remainder or a 0 if no remainder. 189 / 2 = 94 r 1 94 / 2 = 47 r 0 47 / 2 = 23 r 1 23 / 2 = 11 r 1 11 / 2 = 5 r 1 5 / 2 = 2 r 1 2 / 2 = 1 r 0 01101111= 189 1 / 2 = cannot divide further - carry the 1

6. Press any key to continue… Method 2 - division Use the chart to record the division To convert the decimal number 75 to binary you must divide the number by 2. Starting from the right, place a 1 if there is a remainder or a 0 if no remainder. 75 / 2 = 37 r 1 37 / 2 = 18 r 1 18 / 2 = 9 r 0 9 / 2 = 4 r 1 4 / 2 = 2 r 0 2 / 2 = 1 r 0 10010101= 75 1 / 2 = cannot divide further - carry the 1 Fill in to make 8 bits with 0

7. Press any key to continue… Method 2 - division Use the chart to record the division To convert the decimal number 242 to binary you must divide the number by 2. Starting from the right, place a 1 if there is a remainder or a 0 if no remainder. 242 / 2 = 121 r 0 121 / 2 = 60 r 1 60 / 2 = 30 r 0 30 / 2 = 15 r 0 15 / 2 = 7 r 1 7 / 2 = 3 r 1 3 / 2 = 1 r 1 1 / 2 = cannot divide further - carry the 1 11111000= 242

8. Using your hands…

9. For Fun… Binary Clocks and Watches

10. Messages… Each letter (number or symbol) has a binary code assigned to it… My coded message for you: 01010010011011110110001101101011001000000110000101110100001000000111100 10110111101110101011100100010000001100011011011110110110101110000011001 0101110100011010010111010001101001011011110110111000100001My coded message for you:

11. The End