Post on 23-Dec-2015
Decimal
to
Binary Conversion
Press any key to continue…
27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1
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
29
- 16
13
13
- 8
5
1 10 1 1 10
5
- 4
1
1
- 1
0
Cannot subtract a 2
= 189
27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1
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
0 01 1 0 11
Cannot subtract a 4
1
- 1
0
3
- 2
1
= 75
27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1
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
114
- 64
50
50
- 32
18
18
- 16
2
Cannot subtract an 8
1 11 0 0 01
Cannot subtract a 4
2
- 2
0
= 242
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Method 2 - division
Use the chart to record the division
27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1
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
01101 1 1 1 = 189
1 / 2 = cannot divide further - carry the 1
Press any key to continue…
Method 2 - division
Use the chart to record the division
27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1
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
10010 1 0 1 = 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
27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1
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 0121 / 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
11111 0 0 0 = 242
The End