answersLogoWhite

0


Best Answer

255. since number of 1's in "1111 1111" is 8 . we calculate decimal number as 2^8 = 256. starting from 0 to 255 .Hence the last(256th) number is 255.(sheetal)

General Purpose AnswerIn decimal numbers, the digits have values that are powers of ten. Starting at the implied decimal point and working to the left, the number 403 is equal to:

3 x 100 + 0 x 101 + 4 x 102 = 3x1 + 0x10 + 4x100 = 3 + 0 + 400

In binary, the digits have values that are powers of two. Working to the left as before, the number 101 is equal to:

1 x 20 + 0 x 21 + 1 x 22 = 1x1 + 0x2+ 1x4 = (in decimal) 1 + 0 + 4 = 5

So, 1111 1111 = 1x1 + 1x2 + 1x4 + 1x8 + 1x16 + 1x32 + 1x64 + 1x128 = 255.

This also works to the right of the decimal point, but the powers of two are negative (i.e., fractions), so 101.011 in binary is:

1x1/8 + 1x1/4 + 0x1/2 + 1x1 + 0x2 + 1x4 = 5.375

Where the first digit to the right of the decimal point is 2-1 (one-half, or 1/2), the next is 2-2 (1/4), then 2-3 (1/8), etc.

Not sure I understand the logic behind the top answer. In this particular case, adding 1 to the original binary you get 1 0000 0000 which is 256, so take away the 1 again to get 255.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar
More answers
User Avatar

Mason Dalomba

Lvl 2
3y ago

. 1111.1

This answer is:
User Avatar

User Avatar

Anonymous

Lvl 1
3y ago

15

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the decimal conversion of the binary number 1111 1111?
Write your answer...
Submit
Still have questions?
magnify glass
imp