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.
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).
10 base 2 = 2 base 10
1000 cubic feet
11011 base 2 is equal to 27 in base 10 321 base 4 is equal to 57 in base 10 27+57=84
1000 base 10 = 11 1110 1000 base 2
1
The binary number 1000 is the decimal (base 10) number 8. The digits in a binary number are exponents of 2 rather than 10, so that for a four-digit number in binary, the digit places represent 8, 4, 2, 1 1000 (binary) = 8 + (0x4) + (0x2) + (0x1) = 8
In base 5 the answer is 1000. In base 10, 445.
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).
( 1010 )2 = ( 10 )10
log 100 base e = log 100 base 10 / log e base 10 log 100 base 10 = 10g 10^2 base 10 = 2 log 10 base 10 = 2 log e base 10 = 0.434294 (calculator) log 100 base e = 2/0.434294 = 4.605175
A logarithm is the inverse operation of exponentiation. It is used to find the power to which a fixed number (called the base) must be raised to produce a given number. Logarithms help simplify calculations involving very large or very small numbers.
base 2
There's no such thing as 'base 1'. The smallest possible base for writing numbers is 2.If your '1000' and '1000' are already in base 2, then their sum is '10000'.If they're the common decimal numbers "one thousand" and you want the sum "two thousand"written in base 2, then it's '11111010000'.