The figure shows a number crunching machine in which any integer can be fed as input. There are a
set of instructions which produces output as follows:
If a positive integer is fed into the number
crunching machine, it produces one of two
results:
If the integer fed in is EVEN, the machine divides
the number by 2.
If the integer fed in is ODD, the machine
subtracts one from the number.
If a negative integer is fed into the number
crunching machine, it produces its additive
inverse.
cct- class 7- April- 21
Question1. Find the result when the 123 is fed into the machine?
Answers
Given :- If a positive integer is fed into the number crunching machine, it produces one of two results :-
- If the integer fed in is EVEN, the machine divides the number by 2.
- If the integer fed in is ODD, the machine subtracts one from the number.
If a negative integer is fed into the number crunching machine, it produces its additive inverse.
To Find :- Find the result when the 123 is fed into the machine ?
Answer :-
we know that,
- Even numbers are the numbers which are exactly divisible by 2 , or we can say that, when divide by 2 they gives remainder as 0 .
- Odd numbers are the numbers which when divides by 2 gives remainder as 1 .
- Positive integers are from 0 to + infinity
so, checking odd or even first,
→ 123 ÷ 2 = 61 * 2 + 1 = remainder 1 .
then,
→ 123 = an positive odd number .
now, we have given that,
- If the integer fed in is ODD, the machine subtracts one from the number.
therefore,
→ Required result = 123 - 1 = 122 (Ans.)
Hence, when 123 is fed into the machine, the machine gives the result 122 .
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