I have to multiply 9820 and 4823 in 14- Complement. I know that the result is C7A75060, but I don't know how to get there. My problem occurs when I have to multiply 8 with 4823, I get 2893A, but I know it's wrong. How do I go with this?
14-Complement Multiplication between 9820 and 4823
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You have to be careful with base-complement to track how many digits you have, so you know which digit contains the (notional) sign. Assuming here you are (trying) to mulitply 4-digit base-14-complement to get an 8-digit base-14-complement, you need to treat to top digits carefully. So the
9and4are sign digits, and9denotes a negative number. So the problem is likely in your last step when you try to mulitply9with4823, which you should actually do as-5 * 4823 = -18CB1 = C512D. Combining that with the other partial products you getanother equivalent way of doing this is to treat the sign as a (extra) independent digit: