1000 in base 2 equals 8 in base 10. To work this out do a conversion table is the easiest method. So set up 1, 2, 4, 8 (2^0, 2^1, 2^2, 2^3) Now fill in the table by lining it up, eg. 1 = 8, 0 = 4, 0 = 2, and 0=1. Now add the answer up and it equals 8 + 0 + 0 + 0 = 8.
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Because computers are binary - meaning they represent all numbers using only two digits - the closest they can get to expressing 1000 in a nice rounded number is 1024 which is 2 raised to the 10th power (2^10). Written in binary, this number is 10000000000. Of course computers can represent the base 10 number 1000 but it's not as nice and neat. In binary, the base 10 number 1000 is written 1111101000.
10 base 2 = 2 base 10
Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).
1000 cubic feet
10 with 1000 zeroes. 10^1 = 10 (one zero) 10 * 10 = 10^2 = 100 (two zeroes) ... 10^1000 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000