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What are the steps to convert decimal number 47 to binary number?
Wiki User
∙ 7y ago
The places in base two (binary) are ones, twos, fours, eights, sixteens, thirty-twos and so on.
There is one 32 in 47 with 15 left over. There is one 8 in 15 with 7 left over. There is one 4 in 7 with 3 left over. There is one 2 in 3 with 1 left over. There is one 1 in 1 with 0 left over.
That leaves us with one 32, one 8, one 4, one 2 and one 1.
47 base 10 = 10 1111 base 2
Wiki User
∙ 7y ago
Wiki User
∙ 9y agoPartition the sum 47 into powers of 2.
Put these powers of 2 in descending order.
Replace the powers of 2 by 1 while inserting 0 for powers that do not appera.
Thus,
47 = 32 + 8 + 4 + 2 + 1 or 2^5 + 2^3 + 2^2 + 2^1 + 2^0 (note that 2^4 is missing).
And so the binary form is 101111.
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