Decimal to Binary Conversion Press any key to continue…

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Presentation transcript:

Decimal to Binary Conversion Press any key to continue…

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 Cannot subtract a Cannot subtract a 2 = 189

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 Cannot subtract a 32 Cannot subtract a Cannot subtract a = 75

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 Cannot subtract an Cannot subtract a = 242

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 = / 2 = cannot divide further - carry the 1

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 = 75 1 / 2 = cannot divide further - carry the 1 Fill in to make 8 bits with 0

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 / 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 = 242

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