1. Product reduction 2 -1 4 6 2 3 8 7 -3 \ / \ / \ / \ / / -2 24 6 56 / \ / \ / / -48 336 / \ / / \ / / \ / / \ / / -16128 / \ / 48384 2. 4 + 2 + 1 + 1 = 8 multiply operations are required. 4 steps are required. 3. +---+---+---+---+---+---+---+---+ | 3 | 7 | 2 | 4 | 1 | 6 | 9 | 7 | +---+---+---+---+---+---+---+---+ \ | \ | \ | \ | \ | \ | \ | V V V V V V V +---+---+---+---+---+---+---+---+ | 3 | 10| 9 | 6 | 5 | 7 | 15| 16| +---+---+---+---+---+---+---+---+ \ \ | \ | \ | \ | \ | | \ \ \ \ \ \ | \ | \ | \ | \ | \ | \ | V V V V V V +---+---+---+---+---+---+---+---+ | 3 | 10| 12| 16| 14| 13| 20| 23| +---+---+---+---+---+---+---+---+ \ \ \ \ | | | | \ \ \ \ | | | \ \ \ | \ | | | \ \ \ \ | | \ \ | \ | \ | | \ \ \ \ | \ | \ | \ | \ | V V V V +---+---+---+---+---+---+---+---+ | 3 | 10| 12| 16| 17| 23| 32| 39| +---+---+---+---+---+---+---+---+ 4. 7+6+4=17 additions are required. 3 steps are required. 5. +---+---+---+---+---+---+---+---+ | 8 | 1 | 6 | 4 | 2 | 3 | 4 | 7 | +---+---+---+---+---+---+---+---+ \ | \ | \ | \ | V V V V +---+---+---+---+---+---+---+---+ | 8 | 9 | 6 | 10| 2 | 5 | 4 | 11| +---+---+---+---+---+---+---+---+ \ | \ | \ | \ | \ | \ | V V +---+---+---+---+---+---+---+---+ | 8 | 9 | 6 | 19| 2 | 5 | 4 | 16| +---+---+---+---+---+---+---+---+ \ | \ | \ | \ | V +---+---+---+---+---+---+---+---+ | 8 | 9 | 6 | 19| 2 | 5 | 4 | 35| +---+---+---+---+---+---+---+---+ Start Down Sweep | zero V +---+---+---+---+---+---+---+---+ | 8 | 9 | 6 | 19| 2 | 5 | 4 | 0 | +---+---+---+---+---+---+---+---+ Copy to the left \ / | \ / | / \ | / \ | V V +---+---+---+---+---+---+---+---+ | 8 | 9 | 6 | 0 | 2 | 5 | 4 | 19| +---+---+---+---+---+---+---+---+ \ / | \ / | /\ | /\ | / \ | / \ | V V V V +---+---+---+---+---+---+---+---+ | 8 | 0 | 6 | 9 | 2 | 19| 4 | 24| +---+---+---+---+---+---+---+---+ \ /| \ /| \ /| \ /| / \| / \| / \| / \| V V V V V V V V +---+---+---+---+---+---+---+---+ | 0 | 8 | 9 | 15| 19| 21| 24| 28| +---+---+---+---+---+---+---+---+ 6. 7 + 7 = 14 additions are required 7 steps are required.