Base Conversion Calculator

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15 (Decimal base) = 1111 (Binary base)

Expansion in powers of 2

`(15)_10 =`

`1 \cdot 2^{3} + 1 \cdot 2^{2} + 1 \cdot 2^{1} + 1 \cdot 2^{0}`

`= (1111)_2`

15 (Decimal base) = 1111 (base Binary)

SYMBOL (BASE 2)	POSITION VALUE	REASON
1	1	1 = 1 × 2^0
1	2	2 = 1 × 2^1
1	4	4 = 1 × 2^2
1	8	8 = 1 × 2^3
SUMMING	15	results in the base 10 number

INTEGER ARITHMETIC