Needing help with problem 23 Find all integers a and b with

Needing help with problem 23

Solution

The solution to question no.23 is

Decimal Expansion of (123)₈:

123 is in octal form.Now we must convert it into decimal form.

The decimal form of 123 is

(123)₈ = 1*8^2 + 2*8^1 + 3*8^0

(123)₈ = 1*64 + 2*8 + 3*1 (Since a^0 = 1)

(123)₈ = 64+16+1

(123)₈ = 83

The decimal expansion of (123)₈ is 83.