## Binary 3 – Fixed Point Binary Fractions

Fixed point numbers

- The
*decimal*point:- = a
**point**places in ato the whose*decimal*number representation

- = a
- of the
**digits**in a :- The
**digit**that the has - The of
**digits**moving towardsby a*increases* - The of
**digits**moving towardsby a*decreases*

- The
**Example:**

- The
- The
**"***binary*decimal" point:- = a
**point**places in ato the whose*binary*number representation

- = a
- of the
**digits**in a :- The
**digit**that the has - The of
**digits**moving towardsby a of*increases* - The of
**digits**moving towardsby a of*decreases*

- The
**Example:**

- The
- In the next 2 sections, I will show you how to convert:
- ==> that is represented
- Given a (fractional) ==> find the

- In the next 2 sections, I will show you how to convert:
**Method**:- Compute the represented by a by the of the
**value**of the in the representation

**Example:**- Compute the represented by a by the of the

**Method**- the
**value**into :- An
- A

- Find the of the by by
**2**(to obtain the ) - Find the of the by by
**2**(to obtain the )

- the
**Example:**- Given the value
- the value into :
- the by
**repeated**:*division* - the by
**repeated**:*multiplication* **Summary:****Therefore:**

- Given the value