Hexadecimals and Fractional Numbers

Hexadecimal

What base is hex?

base 16

What values does it go to?

0 to 15

where 15 = F

What are the first 4 values?

4096, 256, 16, 1

Convert 126 to binary then to hex

126

0111 1110

7 E

What is the mathematical format of a floating point number?

$x = + - (. M 1. M 2. M 3. M n) .1 0^{e}$

$+ -$ this represents the signed bit

the central block with the $M$ 's they represent the Mantissa, the precision of the number

$1 0^{e}$ represents the exponent, how large the number is

How do you figure out the value of a bit after the binary point?

1/2^n

1/2 1/4 1/8 ...

How to convert decimal to floating point?

64.75

0100 0000

0.75

1100 0000

ADD

0100 0000 . 1100 0000

For this how many bits do we use before and after the binary point?

8 before and 8 after

Where does the floating point start?

To the right of the most significant bit

What side is the mantissa on?

The left

What does the exponent store?

The position of the floating point

If the mantissa is positive which way does the floating point go?

To the right