.The equivalent binary number of decimal number 15 is
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Explanation:
15÷2=7 with remainder1
7÷2=3with remainder1
3÷2=1 with remainder1
1÷2=0 with remainder1
when we put the remainder together in reverse order we get the ans ,therefore the equivalent binary number of decimal number 15 is 1111
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The equivalent binary number of decimal number 15 is 1111.
- Binary numbers are those numbers that are used in computer language and are only represented by 0 and 1.
- Decimal numbers are those numbers that are used in mathematics and computer language. These are represented or formed using 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
- To change from binary to decimal number system we use the long division method and keep the remainder to get answers.
- The remainder which is kept is written from downward to upward to get the answer.
- Firstly, by taking 15 and dividing it by 2 we get the quotient 7 and the remainder 1.
- Then, by taking 7 and dividing it by 2 we get the quotient 3 and the remainder 1.
- Then, by taking 3 and dividing it by 2 we get the quotient 1 and the remainder 1.
- Then, by taking 1 and dividing it by 2 we get the quotient 0 and the remainder 1.
- We can represent our answer as (15)₁₀ = (1111)₂
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