Professor Cardy

Base Conversion Calculator

PORTUGUESE ENGLISH SPANISH FRENCH GERMAN CHINESE

Enter a number



Which base is this number in?



Which base do you want to convert to?


4271 (Decimal base) = 1000010101111 (Binary base)
◀ ▶
Expansion in powers of 2
`(4271)_10 =`
`1 \cdot 2^{12} + 0 \cdot 2^{11} + 0 \cdot 2^{10} + 0 \cdot 2^{9} + 0 \cdot 2^{8} + 1 \cdot 2^{7} + 0 \cdot 2^{6} + 1 \cdot 2^{5} + 0 \cdot 2^{4} + 1 \cdot 2^{3} + 1 \cdot 2^{2} + 1 \cdot 2^{1} + 1 \cdot 2^{0}`
`= (1000010101111)_2`
4271 (Decimal base) = 1000010101111 (base Binary)
SYMBOL (BASE 2) POSITION VALUE REASON
111 = 1 × 2^0
122 = 1 × 2^1
144 = 1 × 2^2
188 = 1 × 2^3
000 = 0 × 2^4
13232 = 1 × 2^5
000 = 0 × 2^6
1128128 = 1 × 2^7
000 = 0 × 2^8
000 = 0 × 2^9
000 = 0 × 2^10
000 = 0 × 2^11
140964096 = 1 × 2^12
SUMMING 4271 results in the base 10 number


INTEGER ARITHMETIC