Fractional Numbers Flashcards

You may prefer our related Brainscape-certified flashcards:
1
Q

Define Fixed Point Form

A
  • Represents Fractional numbers

- Binary point is set in fixed position, does not need to be stored in memory

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

How to convert recurring number to fixed point form

A
  • Convert whole part of the number
  • Multiply fractional part by 2
  • Until fraction part is 0, already converted (repetition) or fraction space is full
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Range of Unsigned Fixed Point Form numbers

A

1…1 to 0…01

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Range of Signed Fixed Point Form numbers

A

01…1 to 0…01

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Range of Negative Signed Fixed Point Form Numbers

A

10…0 to 1…1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Large number of bits for the whole part in floating point form results in

A

allows large values to be represented, but without the detail of the fractional part

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Large number of bits for the fractional part results in

A

very small numbers yet increasingly precise values to be represented

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Floating Point Forms are made from

A
  • Mantissa

- Exponent

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

What to do with positive mantissa and negative exponent

A
  • Find value and move point left by value

- Fill in with 0s

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What to do with negative mantissa and positive exponent

A

-move right by value of exponent

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

What to do with negative mantissa and exponent

A
  • Find value and move left by value

- Fill in with 1s

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Define normalisation (Floating Point)

A
  • Unique representation for a number
  • Maximum possible precision
  • Either 1.0, 0.1
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

How do you normalise

A
  • One place to right (x2) reduce exponent by 1 (/2)

- One place to the left (/2) increase exponent by 1 (x2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Define Underflow

A

Calculation result is too small to be represented with available number of bits

How well did you know this?
1
Not at all
2
3
4
5
Perfectly