5.3 Number system

Question 1

Binary number system either be

Answer 1

signed or unsigned

Question 2

unsigned represent

Answer 2

positive

Question 3

signed represent

Answer 3

negative

Question 4

adding unsigned binary rules:

Answer 4

1. 0+0+0=0
2. 0+0+1= 1
3. 0+1+1= 10
4. 1+1+1= 11

Question 5

fixed point binary

Answer 5

● A specified number of bits are placed before a binary point
● The remaining bits fall behind the binary point
● Standard binary place values are used for columns before the binary point
● Columns behind the binary point start at ½, then ¼ and ⅛ etc.

Question 6

Rounding errors

Answer 6

cannot be represented exactly

because of this binary no. inaccurate

Question 7

absolute + relative errors

Answer 7

used to calculate how close a particular no. is to actual value

Question 8

absolute error calc=

Answer 8

difference between given and actual

Question 9

relative error calc=

Answer 9

relative = absolute error/actual value

Question 10

large exponent and small mantissa allows for

Answer 10

large range, little precision

Question 11

small exponent and large mantissa

Answer 11

small range, good precision

Question 12

binary point close to left

Answer 12

gives good precision but small range

Question 13

binary point close to right

Answer 13

gives poor precision good range

Question 14

why are floating numbers normalised

Answer 14

to provide max level of precision

Question 15

how to tell if number is floating or normalised

Answer 15

01 or 10

Question 16

two types of error that can occur with binary

Answer 16

overflow and underflow

Question 17

underflow occurs when..

Answer 17

very small numbers are to be represented, not enough bits available

Question 18

overflow

Answer 18

big number represented (too large)