Question

If(41/3)=(13),the base of number system is
a.9
b.7
c.8
d.12

Answer 1

Answer:

base 8

Explanation:

(41) in base 8 = 33 in base 10

(3) in base 8  = 3 in base 10

33 / 3  =  11

so, 11 in base 10 = 13 in base 8

so answer is base 8

Answer 2

If(41/3)=(13),the base of the number system is 8.

(33) in base 10 from (41) in base 8

3 in base 10 divided by 3 in base 8

33 / 3 = 11

11 in base 10 equals 13 in base 8, so.

Base 8 is the solution.

This can be rearranged so that 41=33. If we are in base R, this indicates that

4r+1=(1r+3)⋅3⟹4r+1=3r+9⟹r=8

To make sure,

While (13)83=(8+3)3=33 in base 10, (41)8=48+1=33 does as well.

The range of numbers in a numbering system is called a base. For instance, the base-10 number system, or decimal numbers 0, 1, 2, 3, 5, 6, 7, and 8, is the most widely used base. The binary base-2, which only contains the numbers 0 and 1, is another common base when working with computers.

For more such questions on the Number system: https://brainly.in/question/51870578

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