Best Answer

1111111111111111 to base 2 (binary) is equivalent to

FFFF to the base 16 (hexadecimal) which in decimal equals

(15 x 16*3) + (15 x 16*2) + (15 x 16*1) + (15 x 16*0) =

(15 x 4096) + (15 x 256) + (15 x 16) + (15 x 1) =

61440 + 3840 + 240 + 15 = 65535

Another way to look at this is that FFFF in hexadecimal is actually 10000 in hexadecimal minus 1 and we know 10000 in hexadecimal is 65536 and so FFFF in hexadecimal is 65536-1 = 65535

Q: What is the decimal conversion of binary 1111111111111111?

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The decimal equivalent of the binary number 1111111111111111 is 65535.

65535

That is 31 in decimal

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Related questions

The decimal equivalent of the binary number 1111111111111111 is 65535.

65,535 in decimal = 1111111111111111 in binary.

It is used because it is easier to convert to and from binary to hexadecimal than decimal, and it uses less characters than binary. For instance: decimal: 65535 hex: FFFF binary: 1111111111111111

65535

It is Bin(1111111111111111) = Dec(65535).

That is 31 in decimal

0X at the beginning represent a number in the hexadecimal system of units. FFFF is the hexadecimal equivalent of i) 65535 in decimal system of units ii) 1111111111111111 in binary system of units

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