### Convert an IP Address from Decimal to Binary Form

1. The first, and probably most important step, is to put down this row of values:
 128 64 32 16 8 4 2 1
1. Question: Can I subtract 128 from 154? Answer: YES. So we assign 1 to 128.
 128 64 32 16 8 4 2 1 1
2. Question: Can I subtract 64 from 26? Answer: NO. So we assign 0 to 64.
 128 64 32 16 8 4 2 1 1 0
3. Question: Can I subtract 32 from 26? Answer: NO. So we assign 0 to 32.
 128 64 32 16 8 4 2 1 1 0 0
4. Question: Can I subtract 16 from 26? Answer: YES. So we assign 1 to 16.
 128 64 32 16 8 4 2 1 1 0 0 1
5. That will give us a remainder of 10. (26-16=10). Question: Can I subtract 8 from 10? Answer: YES. So we assign 1 to 8.
 128 64 32 16 8 4 2 1 1 0 0 1 1
6. That will give us a remainder of 2. (10-8=2). Question: Can I subtract 4 from 2? Answer: NO. So we assign 0 to 4.
 128 64 32 16 8 4 2 1 1 0 0 1 1 0
7. Question: can I subtract 2 from 2? Answer: YES. So we assign 1 to 2.
 128 64 32 16 8 4 2 1 1 0 0 1 1 0 1
8. That will give us a remainder of 0. So for the rest of the values in our row, we can assign 0.
 128 64 32 16 8 4 2 1 1 0 0 1 1 0 1 0
So now we know that a decimal number 154 is 10011010 converted to binary form. To double check, we take the values assigned with 1 and add them together: 128+16+8+2=154
3. Our next number in the IP address is: 31. So we start with a question from step 2 again
1. Can I subtract 128 from 31?
 128 64 32 16 8 4 2 1 0
2. Can I subtract 64 from 31?
 128 64 32 16 8 4 2 1 0 0
3. Can I subtract 32 from 31?
 128 64 32 16 8 4 2 1 0 0 0
4. Can I subtract 16 from 31?
 128 64 32 16 8 4 2 1 0 0 0 1
5. Can I subtract 8 from 15 (remember, it’s the remainder)?
 128 64 32 16 8 4 2 1 0 0 0 1 1
6. Can I subtract 4 from 7?
 128 64 32 16 8 4 2 1 0 0 0 1 1 1
7. Can I subtract 2 from 3?
 128 64 32 16 8 4 2 1 0 0 0 1 1 1 1
8. Can I subtract 1 from 1?
 128 64 32 16 8 4 2 1 0 0 0 1 1 1 1 1
So the decimal number 31 is 00011111 converted to binary form. To double check: 16+8+4+2+1=31
4. Next number is 16. I will perform the conversion in one step now.
 128 64 32 16 8 4 2 1 0 0 0 1 0 0 0 0
So the decimal number 16 is 00010000 converted to binary form.
5. Next number is 13.
 128 64 32 16 8 4 2 1 0 0 0 0 1 1 0 1
So the decimal number 13 is 00001101 in binary form. To double check: 8+4+1=13
So the IP address of 154.31.16.13 has its binary form equivalent of:
10011010.00011111.00010000.00001101