Mr. EG has come up with a great coding scheme for (non-negative) integers in binary. To show off his creation, he demonstrates the following multiplications:
010 x 011 = 010011
011 x 010010 = 010010011
010011 x 010010011 = 010010010011011
01000101 x 01001000111 = 0100100100010100111
What is the result of the following multiplication?
0100010100101 x 01001001001000101
Can you translate all those confusing 1s and 0s back to good old decimal integers?
Note: x
represents standard integer multiplication.