y = 23five_{\text{five}}five + 101three_{\text{three}}three
23five_{\text{five}}five = 2×51+3×502 \times 5^1 + 3 \times 5^02×51+3×50
= 13ten_{\text{ten}}ten
101three_{\text{three}}three = 1×32+0×31+1×301 \times 3^2 + 0 \times 3^1 + 1 \times 3^01×32+0×31+1×30
= 10ten_{\text{ten}}ten
yten_{\text{ten}}ten = 13ten_{\text{ten}}ten + 10ten_{\text{ten}}ten
= 23ten_{\text{ten}}ten
= 10111two_{\text{two}}two