Question

Please help me in those math

1. (212₃ + 2222₃)*(101₃)

2. AB2F₁₆*23D₁₆+2F5₁₆

3. (10₄)⁵-1=n₄=n₁₆

_{I do not know why the answer is}

1.The answer in the book is 11201010221_3, but The answer that i got is 1102011₃

2.The answer in the book is  D53E24₁₆, but the answer that i got is 17F2B28₁₆

Answer 1

Your answers for 1 and 2 are correct.

Here's the solution I created for you to verify:

This is the 3 D multiplication part. 8 1 6 3 7F 2 8 3 3 Non0 do the addition as follows: 17 F 28 3 3 2 f S 16

In third question, did you really mean to subtract 1 from (104)₅? Assuming you have written the third question correctly, it requires us to convert the given value from base 5 to base 4 and base 16 after subtracting 1.

Refer to the below diagram for the step by step method and explanation on how to do it.

(101) (n), (3) -1 s(n) Ste Convert (1oy, de cimal 2 To find base 10 equivalent, write each bit from the right side mulitplied with increasing powers of 5. Then add them all. 29-1-28 Convet 28 ents hare To convert to base 4 divide the decimal number by 4 repeatedly as in the left diagram. The remainders formthe final base 4 28130 number t- To convert to base 16, Conver 2 t bare 16- divide the decimal number by 16 repeatedly as given in the left diagram. The remainders form the final base 16 number

If you have any queries regarding any of this, please ask in the comments and I will make sure to help you with it.

EDIT: The third answer is according to the initial question that was posted. As per the comments, you have already solved the third question. Please let me know if you want me to answer it again.