Question

Add 32(base four) and 13(base four), leaving your answer in base ten.

Answer 1

(32)₄ + (13)₄ = (21)₁₀

ᴇxᴘʟᴀɪɴᴀᴛɪᴏɴ

ᴄᴏɴᴠᴇʀsɪᴏɴ ᴛᴏ ʙᴀsᴇ 10

• (32)₄ = 3 x 4¹ + 2 x 4⁰ = (14)₁₀

• (13)₄ = 1 x 4¹ + 3 x 4⁰ = (7)₁₀

ᴀᴅᴅɪᴛɪᴏɴ

So, (32)₄ + (13)₄

= (14)₁₀ + (7)₁₀

= (21)₁₀