Professor Cardy

Base Conversion Calculator

PORTUGUESE ENGLISH SPANISH FRENCH GERMAN CHINESE

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127 (Decimal base) = 1111111 (Binary base)
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Expansion in powers of 2
`(127)_10 =`
`1 \cdot 2^{6} + 1 \cdot 2^{5} + 1 \cdot 2^{4} + 1 \cdot 2^{3} + 1 \cdot 2^{2} + 1 \cdot 2^{1} + 1 \cdot 2^{0}`
`= (1111111)_2`
127 (Decimal base) = 1111111 (base Binary)
SYMBOL (BASE 2) POSITION VALUE REASON
111 = 1 × 2^0
122 = 1 × 2^1
144 = 1 × 2^2
188 = 1 × 2^3
11616 = 1 × 2^4
13232 = 1 × 2^5
16464 = 1 × 2^6
SUMMING 127 results in the base 10 number


INTEGER ARITHMETIC