Question

Find (11001001.1011)2 = (?)8 = (?)16​

Answer 1

Answer:

Explanation:

To convert a binary number into octal, first, translate the number into decimal.

11001001.10112 = 1∙27+1∙26+0∙25+0∙24+1∙23+0∙22+0∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+1∙2-4 = 128+64+0+0+8+0+0+1+0.5+0+0.125+0.0625 = 201.687510

Now Convert 201.687510 in the octal system.

The whole part is obtained by dividing on the basis.

The octal number is (311)8.

Similarly,

For converting into hexadecimal Whole part will be obtained by diving on a basis.

(201) 10 = C9(16)