To perform: The operation [43]+[32] in Z_{11} and indicate the answer in [r] where 0\leq r\leq m.

Kaycee Roche

Kaycee Roche

Answered question

2021-04-04

To perform: The operation [43]+[32] in Z11 and indicate the answer in [r] where 0rm.

Answer & Explanation

hosentak

hosentak

Skilled2021-04-06Added 100 answers

Procedure used:
Procedure to perform operation in Zm.
1 Consider the operation.
2 Perform the operation with the help of congruence.
3 Obtain and dictate the answer.
Viability of congruence.
The congruence defined as x=y±odm is true if x — y is divisible by m.
Calculation:
Consider the given operation as below.
[43] + [32]
The above expression can be written as below.
[43]+[32]=[43+32]=[75]
In Z11 [75] is,
[75]=[9] [Because 759±od{11}]
Therefore, the operation [43]+[32] in Z11 will result [43]+[32]=[9].

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