10. (12 pts) Multiply the following in the indicated base using the technique given in the book and the lecture notes. You must show your work to receive credit. a.1234 x32_4 b C6815 Multiplication a Multiplication can also be performed in other bases. 0 Multiplication table for the desired base is extremely helpful. > Multiplication table is tedious when the base is large. 0 Perform the following steps to multiply without using the table, > Multiply in base 10 > Convert the products to appropriate base before recording them. Base 4 Multiplication Table Example 5: Multiply 1 24 x 3 1 Solution: Use base 4 multiplication table to find the products. When the product consists of two digits, record the right digit and carry the left digit. First multiply by 14 Now 24 X 14 = 24. Record 2. 1 24 14 X 14 = 14. Record 1. x 3 1 4 1 24 Now multiply by 34 24 X 34 = 6 = (1 x 4) + (2 x 1) = 124. Record 2 and carry 1. 14 + (14 X 34) = 4 = (1 x 4) + (0 x 1) = 104. Record 10. Thus 1 24 x 3 14 1 24 1 0 20 10 324