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The result of the following addition is ____.(1101.101)2 + (1011.11)2 (11001.111)2 (11001.011)2 (11000.011)2 (1001.011)2

Question

The result of the following addition is ____.(1101.101)2 + (1011.11)2 (11001.111)2 (11001.011)2 (11000.011)2 (1001.011)2

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Solution

Sure, let's add these binary numbers step by step:

  1. (1101.101)2 + (1011.11)2

First, align the numbers:

1101.101
  • 1011.11

Add from right to left:

1101.101
  • 1011.11

11001.011

  1. (11001.011)2 + (11001.111)2

Align the numbers:

11001.011
  • 11001.111

Add from right to left:

11001.011
  • 11001.111

110011.010

  1. (110011.010)2 + (11000.011)2

Align the numbers:

110011.010
  • 11000.011

Add from right to left:

110011.010
  • 11000.011

1001011.101

  1. (1001011.101)2 + (1001.011)2

Align the numbers:

1001011.101
  • 1001.011

Add from right to left:

1001011.101
  • 1001.011

1010100.100

So, the result of the addition (1101.101)2 + (1011.11)2 + (11001.111)2 + (11001.011)2 + (1001.011)2 is (1010100.100)2.

This problem has been solved

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