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What is the range of binary numbers in 64 bits in decimal?

Question #57608. Asked by UT-7.

Related Trivia Topics: Sci / Tech  
peasypod
Answer has 4 votes
Currently Best Answer
peasypod
20 year member
3273 replies

Answer has 4 votes.

Currently voted the best answer.
In general any number system can represent the numbers 0 to (x^n)-1, where x is the base and n is the number of "digits".

For binary with 64 bits, this gives 0 to (2^64)-1
or 0 to 18446744073709551615

hence there are 18446744073709551616 values representable.

Jun 08 2005, 2:56 AM
UT-7
Answer has 3 votes
UT-7

Answer has 3 votes.
Excellent!
And what about signed 64 bits integers ?

Jun 08 2005, 3:40 AM
peasypod
Answer has 1 vote
peasypod
20 year member
3273 replies

Answer has 1 vote.
The same range...you can't get something for nothing! (one bit is used for the sign)

that is a range of +/- 9223372036854775808 (or 2^63)

Jun 08 2005, 4:28 AM
peasypod
Answer has 3 votes
peasypod
20 year member
3273 replies

Answer has 3 votes.
oops....that should be +/- 9223372036854775807 (or 2^63 - 1)

Jun 08 2005, 4:32 AM
UT-7
Answer has 1 vote
UT-7

Answer has 1 vote.
OK ! It is from (-2)^63 to (2^63-1). From
- 9223372036854775808 to + 9223372036854775807

Jun 08 2005, 5:12 AM
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