Question

does anyone here know floating point???

Answer 1

A floating point is a number with a decimal point like 0.0 or 5.67899, integers are without like 0, 9, or 4568
Integers are precise, but floating point are binary proximations. Since computer store numbers based on the binary system, they cannot store floating point numbers with 100% procession:
for example:
0.1 base 10 -> 0.00011001100110011... base 2
see
http://www.exploringbinary.com/why-0-point-1-does-not-exist-in-floating-point/

integers don't suffer from this:
1 -> 1
2 -> 10
3 -> 101
etc

Answer 2

yeeey..wait i have a problem i just need you to help me understand it...can you do that?

Answer 3

depends what problem, but I can try

Answer 4

okay so i have this
1 1001010 00000000100000000100000

Answer 5

and i need to transfer that into a decimal number

Answer 6

after the space is meant to represent the part after the decimal point I presume?

Answer 7

yes first 1 is a sign

Answer 8

11001010 is an exponent

Answer 9

and the other digits are mantissa

Answer 10

after the space extends on this idea
00000000100000000100000=
\[0 \times 2^{-1} )+...+1 \times 2{−9}+1 \times 2^{-18}+...+0 \times 2^{-23}\]
Are these regular binaries or is it the representation in the memory? The zeroos indicate the binary presision. I don't know how that translates to the decimal presision, to be honest, but I guess 7 or 8 decimal poins since 2^23 = 8388608, which is 7 positions

Answer 11

\[0 \times 2^{-1} + ,,, + 1 \times 2^{-9} + 2^{-18} + ... + 0 \times 2^{-23}\]

Answer 12

my calculator gives it back in 8 decimal places

Answer 13

oops, matissa is wrong:
that part equals
11001010=
\[1×2^7+1×2^6+0×2*5+0×2^4+1×2^3+0×2^2+1×2^1+0×2^0\]

Answer 14

\[1 \times 2^7 + 1 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 \]

Answer 15

ok, if the first is the sign is that at the right or at the left?
if left
drop the 2*7 and replace with a plus
if at the right, a zero, then it is minus, and replace 0*2^{-2} with 0*2^{-22}

Answer 16

okay

Answer 17

t's basically the same as with decimal numbers: 100.11 is
\[1\times10^2+0\times10^1+0\times10^0+1\times10^{-1}+1\times10^{-2}\]

Answer 18

sorry for the mess
entering these equations is cumbersome

Answer 19

my calculator gives
74.00195694