Question

If (41)r = (21)10, determine the value of the radix r.

Answer 1

r=5.

Step-by-step explanation:

Since we know we can convert a a number with any base to base ten(10) by multiplying the corresponding powers of the base.Stating form the LSB(Least Significant Bit) and with the power 0 and the power will increase by 1 as we move to MSB(Most Significant Bit).

`4*r^1+1*r^0 = 21`

`4r = 21 -1`

`4r=20`

`r=5`