Base Conversion Calculator

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5 (Decimal base) = 101 (Binary base)

Expansion in powers of 2

`(5)_10 =`

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

`= (101)_2`

5 (Decimal base) = 101 (base Binary)

SYMBOL (BASE 2)	POSITION VALUE	REASON
1	1	1 = 1 × 2^0
0	0	0 = 0 × 2^1
1	4	4 = 1 × 2^2
SUMMING	5	results in the base 10 number

INTEGER ARITHMETIC