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What binary number is represented by the decimal number 11?
In binary this would be written as 1011. This is because in binary (from right to left) the digits in this number mean: (1 * 20) + (1 * 21) + (0 * 22) + (1 * 23). This, of course, is equal to (1 * 1) + (1 * 2) + (0 * 4) + (1 * 8), which equals 1 + 2 + 0 + 8, which equals 11 (in decimal).
What is the decimal conversion of the binary number 1111111111?
1111111111b = 1023d When converting a binary number in which every digit is a one, there is an easy trick to doing it: take the number of digits, in this case 10, raise the base to that power 210 = 1024 , then subtract one. 210 - 1 = 1023. If the reason for this isn't clear, it may be easier to think of it in decimal. Remember that 1 is the highest valued digit in binary. Similarly, 9 is the highest digit in decimal. So in decimal, the number 99999 can also be looked at as 105 - 1 = 100000 - 1 = 99999
What is the largest binary number that can be obtained with 16 digits what is it's decimal equivalent?
It is 216 - 1 = 65535.
What is the number 27 as a binary number?
The decimal number "27" is written in binary as 11011.This is because binary has a base of 2. This means that the digits are representing multiples of powers of 2 (as opposed to 10 in decimal). This number in binary means (1 * 20) + (1 * 21) + (0 * 22) + (1 * 23) + (1 * 24). In decimal this equals 1 + 2 + 0 + 8 + 16. This, of course, equals 27.
What numbers are used in binary?
Binary uses only the digits 0 and 1.
