https://padlet.com/Nicolauze/FloatingPointNumbers en-us 2016-05-03 17:00:20 UTC 2026-01-19 13:41:59 UTC hello@padlet.com http://i598.photobucket.com/albums/tt69/Zordac/Binary-Matrix.gif Nicolauze https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109040121 Converting a floating point number into denary when both the mantissa and exponent are Two's Complement:

Step 1:
Convert the exponent to denary.

Step 2:
If the exponent is positive then move the binary point on the mantissa to the right by the value of the exponent.
Remember to add leading zeroes if the binary point must be moved left.

Step 3:
Convert the result into denary]]> 2016-05-03 17:04:08 UTC https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109040121 Nicolauze https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109042371 A common method of representing large numbers is to display them in a form of scientific notation called Standard Form where all numbers are displayed to the base 10.]]> 2016-05-03 17:13:13 UTC https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109042371 Nicolauze https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109057508 In Computing this notation displays the mantissa (the coefficient of the number) followed by the exponent (the power of ten).

Mantissa - The coefficient
Exponent - The power of ten

For example: In the number 3 × 10²,
The mantissa = 3
The exponent = 2]]> 2016-05-03 18:07:40 UTC https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109057508 Nicolauze https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109064359 If the exponent is positive then move the point to the right.
If the exponent is negative then move the point to the left.]]> 2016-05-03 18:30:03 UTC https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109064359 Nicolauze https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109075893 Converting a number into a normalised two's complement number with a 10bit mantissa and a 6bit exponent.
In a positive two's complement number the most significant bit must be 0. Whereas in a negative two's complement number the most significant bit must be 1.

The exponent:
Is found by counting how many places the binary point must be moved to be between the first 0 and 1 pair (or 1 and 0 if negative).
For example: Moving the point 4 places to the left gives an exponent of 4 as it would have to be moved 4 places to the right again to return it to the original number.

However: If there are leading 1's or 0's before the first "01" or "10" pair, then these must be removed with zeroes added to the end of the number to create a 10 digit mantissa.

The mantissa:
Is the new number once the binary point has been moved.]]> 2016-05-03 19:14:29 UTC https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109075893 Nicolauze https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109083068 Invented by universities this format uses 1 sign bit, 5bit (excess 15) exponent, followed by a 10 bit mantissa.

Step 1:
Convert the excess-15 exponent to denary (This means 15 must be subtracted from the binary value).

Step 2:
The mantissa has an implied 1 at the start followed by a binary point.
If the exponent is positive then move the binary point, within the mantissa, to the right by the value of the exponent.

Step 3:
Convert the result to denary. The sign bit dictates whether the result is positive or negative.]]> 2016-05-03 19:52:58 UTC https://padlet.com/Nicolauze/FloatingPointNumbers/wish/109083068 Nicolauze https://padlet.com/Nicolauze/FloatingPointNumbers/wish/115143680 [HOME]]]> 2016-06-21 11:35:46 UTC https://padlet.com/Nicolauze/FloatingPointNumbers/wish/115143680