+BiN4RY Good example but bad example? xD

+Tim Burkhardt imagine a bad example instead of BiN4RY :D

+Tim Burkhardt I meant to say "good explanation", my bad.

@@timburkhadt you mean good explanation?

@@binexec ohh okay now it makes sense

ShinyTHPS Helpful Video but I need to know, from where does it come the 1.0010..... ??? ThankYou

+Carlos Serrano well, when you convert back to decimal, you will always have to add that 1 because when you are converting FROM again FROM Decimal to IEEE 754 binary, you just remove 1.(you only care about fraction) and if you look at 2:20 , he got that number from pink highlight, that was considered a fraction because it is separated from other exponent and sign number... sorry for late response.

IK its been a 7 years but lool:) did u succeed?

Michael Knox Helpful Video but I need to know, from where does it come the 1.0010..... ??? ThankYou

@@carlosserrano5194 In case you spent last 5 years trying to find answer, here it is. 1, (before the comma) is always there . ,001 (after the comma) is from fraction (bit 0-22)

You probably figured this out. But in case someone else was confused...consider what .1 means in base 10. It's in the 10^-1 position ( the 1/10th position). 1*(1/10)=1/10=.1 It works the same way in base 2. .1 in base 2 is 1*2^-1=1/2=.5. In base 2, the places to the right of the decimal place are 1/2, 1/4, 1/8, 1/16, ... and so on. .111 in base 2 is, in base 10, 1/2+1/4+1/8=(4+2+1)/8=7/8=.875. Just remember that for all bases, the places of the number are the powers of the base. In base 10, we have ... 10^3, 10^2, 10^1, 10^0, 10^-1, 10^-2, ... ( 1000, 100, 10, 1, 1/10, 1/100). In base 2, we have ...2^3, 2^2, 2^1, 2^0, 2^-1, 2^-2 ( 8, 4, 2, 1, .5, .25).

fucking legend. thank you ;)

yeah I'm wondering the same. Poor explanation.

In 32 bit the bias is 127

this one is known as a hidden 1 because we hide it when converting from decimal to binary

Josh Oduyoye I think if you get a negative p that means you must shift your point leftwards. Imagine you ave, like in the example, 1.001... (adding that 1, as the uploader said), you would just shift the point to the left, and the result will be 0.1001... That in terms of computers is a non-normalized number, because its integer part is 0...

+GuitarFrom71 covers! i have hexadecimal i,e 3F 99 99 9A and p is -16 now what?????

Whatever you get for the exponent part, you will always use that number to subtract 127 because in 8 bits the highest is 127 since it's from 0 to 127. In this case, if you have 1000|0010 = 128 + 2 = 130. Use 130 - 127 = 3. The idea of 127 is the same as adding a 1 in front of the fraction portion. It'll always be 1.###.... except in this case you will always subtract 127 because that's the highest it goes in 8 bits.

+Debbie Zepeda 1000000 = 2^7 = 128, but the exp is 1000010 which is 128 + 2 (because 10 in binary is equal to 2)

+theorangeiscool1 10000000 = 2^7 = 128

1000 0010 = 128 + 2 = 130. Remember that it's in base of 2. That's an 8 bit, so it goes from right to left 2^0, 2^1, 2^2, 2^3, 2^4, 2^5, 2^6, 2^7. Because the first four numbers are 1000, we know that is 2^7 (128). The second 4 numbers are 0010, which we know that is 2^1 (2). Remember that we ignore the 0. Therefore, 128 + 2 = 130

yes, which is 32 bits.

+tran khanh then the point goes to the opposite side (left)

tks you =))

I know it is too late for you but for new person ... The answer is, to the left of "." you will have 2^-1, 2^-2 ... so you have 11 (equals 3) + 2^-1 (equal 0.5). The final result is 3.5.

why are u adding powers in minus ? and why you add 2^-1 in 3? whats the logic behind it please elaborate

10.25

+Chris G lol, the channel name should be EducationAboutStufforwhatever.

130-127

@@dotexpress9689 how did you considered the bias as 127 ???