- #1

MathematicalPhysicist

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how to convert an exponent to binary number?

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- Thread starter MathematicalPhysicist
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- #1

MathematicalPhysicist

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how to convert an exponent to binary number?

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- #2

chroot

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Please provide an example of what you're trying to do so that we can help you better.

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- #3

MathematicalPhysicist

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"Convert the exponent 23 to binary, you get 10111."

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16 8 4 2 1

1 0 1 1 1

So, we have one 16, no 8, one 4, one 2, and one 1. We sum them to get 16+4+2+1=23. The division algorithm can be used to convert from decimal to binary.

23-16=7, so we put a 1 in the 16 column.

7-8<0, so we put a 0 in the 8 column.

7-4=3. so we put a 1 in the 4 column.

3-2=1, so we put a 1 in the 2 column.

2-1=1, so we put a 1 in the 1 column.

Thus, 23 in binary form is 10111.

- #5

HallsofIvy

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"converting an exponent". You are really just asking about converting a number. The fact that the number happens to be an exponent in the formula is not important.

Another way to do the same thing is:

2 divides into 23 11 times with remainder 1

2 divides into 11 5 times with remainder 1

2 divides into 5 2 times with remainder 1

2 divides into 2 1 time with remainder 0

2 divides into 1 0 times with remainder 1

Now that we have reached "0 times" write the remainders in reverse order : 10111 base 2 is 23 base 10.

- #6

Integral

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