, 4
(d) The Fibonacci sequence is a series of numbers. It starts with the number 0 and then 1. Each
number after that is a sum of the two numbers before it.
The first seven numbers in the series are:
0
1
1 (i.e. 1 + 0)
2 (i.e. 1 + 1)
3 (i.e. 1 + 2)
5 (i.e. 2 + 3)
8 (i.e. 3 + 5)
Orla has written some code to show the first five numbers in the Fibonacci sequence (0,1,1,2,3)
using the Little Man Computer (LMC) instruction set.
The LMC code that Orla has written contains an error.
START LDA MAX
BRZ END
LDA A
OUT
ADD B
STA B
LDA B
STA A
LDA MAX
SUB ONE
STA MAX
BRA START
END HLT
A DAT 0
B DAT 1
MAX DAT 5
ONE DAT 1
(i) State the five outputs that Orla’s code would give.
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