ftovar #1 Posted May 27, 2003 Does anybody else have this book by Abacus Software? I think I need help on page 12 or is this just a typo on their part? The part where they add two binary numbers 0110 1011 10001 and then get the answer on parenthesis, they have 6 + 11 =17. Should it not be 16 + 1? The end result is 17. Also on the multiplication part I understand how they get 1000010 when they multiply 0100 * 1011 but again the parenthesis throws me off. They have 6 * 11 = 66. I thought you still had to just add the end result. I get 64 + 2 = 66. The end result is still 66. Is there something I am not doing right here to verify the end result? Thanks Quote Share this post Link to post Share on other sites
Cybergoth #2 Posted May 27, 2003 Hi there! The part where they add two binary numbers 0110 1011 10001 and then get the answer on parenthesis, they have 6 + 11 =17. Should it not be 16 + 1? The end result is 17. The binary end result transfered to decimal is in fact 16+1=17, but the actual addition was 6 + 11 = 17. Also on the multiplication part I understand how they get 1000010 when they multiply 0100 * 1011 but again the parenthesis throws me off. They have 6 * 11 = 66. Same here. In the parenthesis you get the complete multiplying operation, and not a binary to decimal conversion. Greetings, Manuel Quote Share this post Link to post Share on other sites
ftovar #3 Posted May 27, 2003 That is what is throwing me off. How did they get 6 + 11 if we are trying to convert binary to decimal. The same with the multiplication. 6 * 11. I can't seem to understand how they get those numbers when we are using the 1 * 2 to the power or 0 * 2 the power then add the numbers to get the end result. What am I missing here? I know it's probably simple but it's got me confused. Geez and I'm barely on page 12. Thanks Quote Share this post Link to post Share on other sites
Cybergoth #4 Posted May 27, 2003 Hi there! That is what is throwing me off. How did they get 6 + 11 if we are trying to convert binary to decimal. The same with the multiplication. 6 * 11. I can't seem to understand how they get those numbers when we are using the 1 * 2 to the power or 0 * 2 the power then add the numbers to get the end result. What am I missing here? I know it's probably simple but it's got me confused. Geez and I'm barely on page 12. To sum it up in one line: 0110 + 1011 = 10001 in binary equals 6 + 11 = 17 in decimal. So what is your problem with that? Greetings, Manuel Quote Share this post Link to post Share on other sites
ftovar #5 Posted May 28, 2003 Ahh I see where I made my mistake. 1.) I did not read the book correctly. 2.) I did not read your post correctly either. You did clarify my question and explained that it's straight binary addition and multiplication with NO conversion to decimal. However, this is where I get confused. Where as converting to decimal you would 1 x 2^4 + 0 x 2^3 , etc. How do you read/add the end result 10001 to equal (6 + 11). This is where I do not see the answer. Example on Page 10, the Binary number 0101 is abbreviated, etc. This is what confuses me. Thanks for answering and helping a newbie out. Quote Share this post Link to post Share on other sites
ftovar #6 Posted May 28, 2003 Tsk, Tsk, Tsk. Why didn't the book just tell me that they converted 0110 to decimal 6 and 1011 to decimal 11. The reason I was confused was because they had (6 + 11) next to the final answer of 10001 with no explanation that it was assumed. I totally understand it now. Thanks to all who helped out and on to the next chapter. Quote Share this post Link to post Share on other sites