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31....

Why?

24 + 23 + 22 + 21 + 20 = 16 + 8 + 4 + 2 + 1 = 31

or

25 - 1 = 31

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You can calculate the decimal equivalent of any binary number by adding the powers of two that correspond to each place that a binary digit '1' is in.

With decimal numbers, as you move left one digit, from the rightmost digit, you multiply that digit's value by 10. In binary, you multiply that place value by 2.

For any eight bit binary number (or less) here are the multiples of 2. We always start with (n-1) for the leftmost exponent, because you have to remember that the rightmost exponent is always 0.

27 + 26 + 25 + 24 + 23 + 22 + 21 + 20

which correspond with the following decimal numbers:

128 + 64 + 32 + 16 + 8 + 4 + 2 + 1

All you have to do is add the decimal numbers that correspond with the each binary digit 1 is in.

ie. 10000000 (binary) = 128

11000000 (binary) = 128 + 64 = 192

FYI here are the decimal equivalents for four bit binary numbers:

0000 = 0

0001 = 1

0010 = 2

0011 = 3

0100 = 4

0101 = 5

0110 = 6

0111 = 7

1000 = 8

1001 = 9

1010 = 10 = a (in hexadecimal)

1011 = 11 = b (in hexadecimal)

1100 = 12 = c (in hexadecimal)

1101 = 13 = d (in hexadecimal)

1110 = 14 = e (in hexadecimal)

1111 = 15 = f (in hexadecimal)

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Related Questions

What does the binary number 11111 equal as a decimal number?

11111 = 31


What is the decimal conversion of the binary number 11111?

That is 31 in decimal


What is binary number 11111 converted into decimal?

It is number 31.


What's the highest decimal number that be represented with 5 binary digits?

The largest decimal number is binary 11111, which is decimal 31.


What is 11111 converted into decimal number?

If that's binary, it becomes 31 base 10


What is the binary solution to 11111 minus 11111011?

11111 - 11111011 = −11011100 or converted to decimal 31 - 251 = −220


What is the largest number that can be represented using 5 bits?

31 - it's binary equivalent is 11111


What does the binary number 11111 equal as a whole number?

1 1 1 1 1 is already a binary whole number.When converted to base-10 (decimal) notation,you discover that it's the number 31 .


What is the binary 11111into decimal?

The binary number 11111 can be converted to decimal by calculating the sum of the powers of 2 for each digit that is set to 1. Starting from the right, it represents (2^0 + 2^1 + 2^2 + 2^3 + 2^4), which equals (1 + 2 + 4 + 8 + 16). Adding these values together gives 31. Therefore, the binary 11111 is equal to 31 in decimal.


What is 31 in the binary system?

11111


What is 11111 binary in decimal?

( 1 1 1 1 1 )2 = ( 31 )10


What is the binary digit of 31?

The number 31 (decimal) can be represented as a binary number this way: 11111 ...which is 1 + 2 + 4 + 8 + 16 = 31 Note the number 31 is one less than a power of two. Numbers like that are always strings of 1's for binary digits.