A student is tracing the following algorithm. The function INT gives the integer part of any number, eg INT(2.3) = 2 and INT (6.7) = 6. Line 10 Input A, B Line 20 Let C = INT(A ÷ B) Line 30 Let D = B × C Line 40 Let E = A – D Line 50 If E = 0 then go to line 90 Line 60 Let A = B Line 70 Let B = E Line 80 Go to line 20 Line 90 Print B Line 100 Stop Trace the algorithm in the case where the input values are: a) (i) A = 36 and B = 16; (ii) A = 11 and B = 7.

A student is tracing the following algorithm. The function INT gives the integer part of any number, eg INT(2.3) = 2 and INT (6.7) = 6. Line 10 Input A, B Line 20 Let C = INT(A ÷ B) Line 30 Let D = B × C Line 40 Let E = A – D Line 50 If E = 0 then go to line 90 Line 60 Let A = B Line 70 Let B = E Line 80 Go to line 20 Line 90 Print B Line 100 Stop Trace the algorithm in the case where the input values are: a) (i) A = 36 and B = 16; (ii) A = 11 and B = 7.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A student is tracing the following algorithm. The function INT gives the
integer part of any number, eg INT(2.3) = 2 and INT (6.7) = 6.
Line 10 Input A, B
Line 20 Let C = INT(A ÷ B)
Line 30
Let D = B × C
Line 40
Let E = A – D
Line 50 If E = 0 then go to line 90
Line 60
Let A = B
Line 70
Let B = E
Line 80 Go to line 20
Line 90 Print B
Line 100 Stop
Trace the algorithm in the case where the input values are:
(a) (i) A = 36 and B = 16;
(ii) A = 11 and B = 7.
(b) State the purpose of the algorithm.

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