Question

1. Convert the following binary numbers to decimal. i) 1100.1101
2. Convert the following decimal numbers to binary. i) 892.25. with full steps​

Answer 1

Answer:

1. 12.812510

Explanation:

1. You enter the number: 1100.11012 in Binary number system and want to translate it into Decimal.

To do this, at first translate it to decimal here so :

1100.11012 = 1∙23 + 1∙22 + 0∙21 + 0∙20 + 1∙2 - 1 + 1∙2 - 2 + 0∙2 - 3 + 1∙2 - 4 = 8 + 4 + 0 + 0 + 0.5 + 0.25 +0 +0.0625 = 12.812510

Result of converting:1100.11012 = 12.8125102.

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