Question

Find the sum and product of each of these pairs of numbers in base 3: (112)3 and (210)3.

A) Sum: (1022)3, Product: (11340)3
B) Sum: (322)3, Product: (11340)3
C) Sum: (1022)3, Product: (11040)3
D) Sum: (322)3, Product: (11040)3

Answer 1

To find the sum and product of numbers in base 3, we need to add and multiply the corresponding digits.

Step-by-step explanation:

To find the sum and product of numbers in base 3, we need to add and multiply the corresponding digits. Let's break it down step by step:

Sum: (112)3 + (210)3 = (1022)3. In base 3, when adding 1 and 2, the sum is 2, and when adding 2 and 1, the sum is 0, carrying over 1 to the next place value.

Product: (112)3 × (210)3 = (11340)3. In base 3, when multiplying 1 and 2, the product is 2, and when multiplying 2 and 1, the product is 0, carrying over 1 to the next place value.