Each place value column in binary is twice the next one to the right; the rightmost place value column (of a whole number) is always the units column. Thus:
10002 = 1 x 8 + 0 x 4 + 0 x 2 + 0 x 1 = 810
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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.
Find the powers of 2. 8 in binary would be 1000
The binary values are 8 = 1000 14 = 1110 24 = 11000 In the binary number system, each digit represents an exponential value of 2, rather than of 10 in the decimal system. For five digit binary numbers, the digits represent 16, 8, 4, 2, and 1 8 = 01000 or 1000 (0 + 8 + 0 + 0 + 0) 14 = 01110 or 1110 (0 + 8 + 4 + 2 + 0) 24 = 11000 (16 + 8 + 0 + 0 + 0)
0.015 as a decimal is equivalent to 0.015. This is because the number 0.015 does not need to be converted to a different form to represent it as a decimal. It is already in decimal form, with the decimal point separating the whole number (0) from the decimal fraction (015).
1000