Input Domain Partitioning Example

Given the function described by:

char student$\_$grade$($unsigned char score$)$;

The function student grade takes in a positive, $8$ bit number, between the values of $0$ and $255,$ and

returns a char representing the student's letter grade.

Input Output

$90>=$ score $<=100$A$$

$80>=$ score $<90$B$$

$70>=$ score $<80$C$$

$60>=$ score $<70$D$$

$0>=$ score $<60$F$$

$100>$ score $<=255$

Notation. An $[$or a $]$signifies that the endpoint is included. An $)$ or a $($specifies that the interval

includes all points up to but not including the endpoint.

$6.$ The input partitions are

a$.[0,60),[60,70),(70,80),[80,90],[90,100],(100,255]$

b$.(0,60],(60,70],(70,80],(80,90],[90,100),[100,255)$

c$.[0,60],[70,100],[100,255]$

d$.[0,60),[60,70),[70,80),[80,90),[90,100],(100,255]$

e$.(0,255)$