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Starting at the right with the "ones", the value of each successive place doubles. So: 1, 2, 4, 8, 16 etc. The value of the place is either 0 x that number or 1 x that number. You figure out the value of each place and add them up.

So you have:

0 x 1 =0

0 x 2 =0

1 x 4 =4

1 x 8 =8

1 x 16 =16

0 x 32 =0

1 x 64 =64

1 x 128 =128

1 x 256 =256

0 x 512 =0

0 x 1024 =0

1 x 2048 =2048

0 x 4096 =0

1 x 8192=8192

_______+_____

10716

More answers

11110000 (base2)

= 1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 1 * 2^4 + 0 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 (base 10)

= 2^7 + 2^6 + 2^5 + 2^4

= 128 + 64 + 32 + 16

= 240 (base 10)

to convert 10101111 start from least significant digit and multiply each digit of binary number by 2^(n){where n=0,1,2,3,4.....} and add the number calculated. The number obtained after addition is the equivalent decimal number. ex.- for 10101111 1*(2^7)+0*(2^6)+1*(2^5)+0*(2^4)+1*(2^3)+1*(2^2)+1*(2^1)+1*(2^0) = 175

111111112 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255

101010102 = 128 + 32 + 8 + 2 = 170

The binary number 10111100111111101010 corresponds to the decimal number 774122.

110111 in binary equates to 55 in decimal.

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Q: What is the decimal conversion of the binary number 1111 1111 and 10101010?

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Related questions

170

The binary number 10101010 is equivalent, in decimal representation, to 128 + 32 + 8 + 2 = 170. But this answer assumes that the given number is binary - an assumption for which there is no real justification. Besides, the relationship is an equivalence, which is not quite "the same thing".

Decimal: 170Hex: AA

The decimal equivalent of the binary number 1111111111111111 is 65535.

That is 31 in decimal

The binary number 1111 = 15

13

45

10

110001.01

15 = 1111

Conversion of binary numbers is turning a binary number (base 2) into a number with a different base. For example, the binary number 10101010 can be converted into decimal in the following way: 1 X 27 + 0 X 26 + 1 X 25 + 0 X 24 + 1 X 23 + 0 X 22 + 1 X 21 + 0 X 20 = 128 + 0 + 32 + 0 + 8 + 0 + 2 + 0 = 170