Question

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

Answer 1

Answer:

r=5.

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).

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

$4r = 21 -1$

$4r=20$

$r=5$