Base Conversion Calculator

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12 (Decimal base) = 1100 (Binary base)

Expansion in powers of 2

`(12)_10 =`

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

`= (1100)_2`

12 (Decimal base) = 1100 (base Binary)

SYMBOL (BASE 2)	POSITION VALUE	REASON
0	0	0 = 0 × 2^0
0	0	0 = 0 × 2^1
1	4	4 = 1 × 2^2
1	8	8 = 1 × 2^3
SUMMING	12	results in the base 10 number

INTEGER ARITHMETIC