Base Conversion Calculator

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6 (Decimal base) = 110 (Binary base)

Expansion in powers of 2

`(6)_10 =`

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

`= (110)_2`

6 (Decimal base) = 110 (base Binary)

SYMBOL (BASE 2)	POSITION VALUE	REASON
0	0	0 = 0 × 2^0
1	2	2 = 1 × 2^1
1	4	4 = 1 × 2^2
SUMMING	6	results in the base 10 number

INTEGER ARITHMETIC