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
Solution
Sure, let's add these binary numbers step by step:
- (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
- (11001.011)2 + (11001.111)2
Align the numbers:
11001.011
- 11001.111
Add from right to left:
11001.011
- 11001.111
110011.010
- (110011.010)2 + (11000.011)2
Align the numbers:
110011.010
- 11000.011
Add from right to left:
110011.010
- 11000.011
1001011.101
- (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.
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