Computer Science
Convert the following binary number to its decimal equivalent:
(10100.11)2 to ( )10
Number System
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Answer
Converting integral part
| Binary No | Power | Value | Result |
|---|---|---|---|
| 0 | 20 | 1 | 0x1=0 |
| 0 | 21 | 2 | 0x2=0 |
| 1 | 22 | 4 | 1x4=4 |
| 0 | 23 | 8 | 0x8=0 |
| 1 | 24 | 16 | 1x16=16 |
Converting fractional part
| Binary No | Power | Value | Result |
|---|---|---|---|
| 1 | 2-1 | 0.5 | 1x0.5=0.5 |
| 1 | 2-2 | 0.25 | 1x0.25=0.25 |
Equivalent decimal number = 4 + 16 + 0.5 + 0.25 = 20.75
Therefore, (10100.11)2 = (20.75)10
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