if y = 23five f i v e + 101three t h r e e find y leaving your answer in base two

if y = 23${}_{five}$ + 101${}_{three}$ find y leaving your answer in base two

Answer Details

First we convert the numbers to base ten
23${}_{five}$= 2 x 51 + 3 x 50
= 10 + 3 = 13
101${}_{five}$ = (1 x 32) + (0 x 31) + (1 x 30)
= 9 + 0 + 1 = 10
So, y = 13 + 10 = 23
To convert 23 to base 2 (as in the diagram above)
y = 23
= 10111${}_{five}$