

InterviewSolution
Saved Bookmarks
1. |
What is the product of the binary numbers 1001.01 and 11.1?A. `101110.011`B. `100000.011`C. `101110.101`D. `100000.101` |
Answer» Correct Answer - B `1001.01=1xx2^(3)+1xx2^(0)+1xx2^(-2)`, corresponding to number of base 10. `=8+1+(1)/(4)=(37)/(4)=9.25` and `11.1=1xx2^(1)+1xx2^(0)+1xx2^(-1)` `=2+1+(1)/(2)=(7)/(2)=3.5` Corresponding to the number of base 10. `therefore 1001.01xx11.1=9.25xx3.5=32.375` From decimal to binary `(32)_(10)=(100000)` and `(.375)_(10)=0.25+0.125` `=(1)/(4)+(1)/(8)=1xx2^(-2)+1xx2^(-3)=(0.011)_(2)` `therefore (32.375)_(10)=(100000.011)_(2)` |
|