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Converting from Binary to Decimal
"There are 10 types of people in this world. Those who do understand binary and those who don't."
If the quote above doesn't make sense to you...then I'm sorry to say that you're one of the people who don't undersand binay numbers. At the very least, you don't yet undersand how to read binary numbers. Hopefully, by the end of this web page the quote will make sense!
How to convert a decimal number to its binary equivalent
Convert 9 to binary.
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Determine the largest power of 2 that is smaller than the
decimal number. |
23 = 8 |
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| The power 3 means that we go 4 bits (start counting at 20) |
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XXXX (4 digits) |
| Divide that largest power into the decimal and find its
remainder |
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1XXX |
| Take the remainder and divide that by the next lowest
power of 2 or 22 or the
process with the remainder |
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10XX |
| Repeat with 21 |
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100X |
Repeat with 20 |
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1001 |
Example 2 of how Convert Decimal to binary
In this example, we will practice converting 31 to its binary equivalent
| 1) What is the largest power of 2 that goes into 31?
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24 = 16 |
| 2) From this, we know that there will be how many digits in our binary number
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There will be five digits.
4 +1 = 5 |
| 4) Divide 31 by 16
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1XXXX |
| 5) Now, determine how many times 23 goes into 15.
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11XXX |
| 6) Determine how many times, 22 goes into 7
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111XX |
| 7) Determine how many times, 21 goes into 3
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1111X |
| 8) Determine howmany times, 20 goes into 1
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111112 is the solution and is the same as 3110 |
Convert from Binary to Decimal
Try going in the other direction: from binary to decimal
Convert 11100111101 2 from binary to decimal.
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