Question

Determine the value, true or false, of each of the following Boolean expressions,
assuming that the value of the variable count is 0 and the value of the variable limit is
10. Give your answer as one of the values true or false.
a. (count == 0) && (limit < 20)
b. count == 0 && limit < 20
c. (limit > 20) || (count < 5)
d. !(count == 12)
e. (count == 1) && (x < y)
f. (count < 10) || (x < y)
g. !( ((count < 10) || (x < y)) && (count >= 0) )
h. ((limit/count) > 7) || (limit < 20)
i. (limit < 20) || ((limit/count) > 7)
j. ((limit/count) > 7) && (limit < 0)
k. (limit < 0) && ((limit/count) > 7)
l. (5 && 7) + (!6)

Hi teacher this is true false statement please help me out with this thanks

Answer 1

initially count=0, limit = 10,

(a) TRUE  

because both the conditions count=0 And limit <20 are true in logical AND operation both codition should be true for result to be  TRUE.

(b) TRUE   

  because both the conditions count=0 And limit <20 are true in logical AND operation both codition should be true for result to be  TRUE .

(c) TRUE

(limit > 20) || (count < 5) in this statement logical OR operation , if either one of (limit > 20) and (count < 5)

is true then Output is True . In given Condition count <5 is true so the result is TRUE .

(d) TRUE  

!(count == 12) in this statement logical not is used , this statement states that if count is not equal to 12 then the statement is true . Initially count =0 , so the output is TRUE .

(e) FALSE

      (count == 1) && (x < y) if one of the condition is fails then the output is False in AND operation .

so the count==1 is False , so the result of statement is FALSE

(f) TRUE

  (count < 10) || (x < y) in this statement count< 10 is True so the output is True , in OR operation it does not depent on (x<y ) which is not given .

(g) FALSE

(h) TRUE

(i) TRUE

(j) FALSE

(k) FALSE

(l) 6 (1 1 0)

Taking 3-bit binary

(5 && 7) = 5 ( 1 0 1)

(!6) = 1 (0 0 1)

5 + 1 = 6 (1 1 0)