Answer:
Multiply 9910 times 9910 :
9801
How many decimal places does each operand (99) take:
2.
How many decimal places does the result take:
4.
Multiply 9910 times 9910 :
9801
How many decimal places does each operand (99) take:
2.
How many decimal places does the result take:
4.
The product of two N-place decimal integers may need 2N places. This is true for numbers expressed in any base. In particular, the product of two integers expressed with N-bit binary may need 2N bits. For example, here, two 8-bit unsigned integers are multiplied using the usual paper-and-pencil multiplication algorithm (but using binary arithmetic):
10110111 B7 18310
10100010 A2 16210
-------- -- ---
00000000
10110111.
00000000..
00000000...
00000000....
10110111.....
00000000......
10110111.......
--------------- ---- -----
111001111001110 73CE 2964610
The two 8-bit operands result in a 15-bit product. Also shown is the same product done with base 16 and base 10 notation.
Is a 32-bit general register likely to hold the result of multiplying two other 32-bit registers?