Computer Science
Convert the following binary number to its decimal equivalent:
(1010.0111)2 to ( )10
Number System
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Answer
Converting integral part
| Binary No | Power | Value | Result |
|---|---|---|---|
| 0 | 20 | 1 | 0x1=0 |
| 1 | 21 | 2 | 1x2=2 |
| 0 | 22 | 4 | 0x4=0 |
| 1 | 23 | 8 | 1x8=8 |
Converting fractional part
| Binary No | Power | Value | Result |
|---|---|---|---|
| 0 | 2-1 | 0.5 | 0x0.5=0 |
| 1 | 2-2 | 0.25 | 1x0.25=0.25 |
| 1 | 2-3 | 0.125 | 1x0.125=0.125 |
| 1 | 2-4 | 0.0625 | 1x0.0625=0.0625 |
Equivalent decimal number = 2 + 8 + 0.25 + 0.125 + 0.0625 = 10.4375
Therefore, (1010.0111)2 = (10.4375)10
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