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(a) Convert the binary number 11001011 into denary - OCR - GCSE Computer Science - Question 5 - 2019 - Paper 1
Question 5
5
(a) Convert the binary number 11001011 into denary.
(b) Complete a 2-place shift to the right on the binary number 11001011.
(c) Explain the effect of performin... show full transcript
Worked Solution & Example Answer:5
(a) Convert the binary number 11001011 into denary - OCR - GCSE Computer Science - Question 5 - 2019 - Paper 1
Step 1
(a) Convert the binary number 11001011 into denary.
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Answer
To convert the binary number 11001011 into denary, each digit is multiplied by 2 raised to the power of its position, counting from right to left, starting at 0:
Therefore, the denary equivalent of the binary number 11001011 is 203.
Step 2
(b) Complete a 2-place shift to the right on the binary number 11001011.
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Answer
When performing a 2-place shift to the right on the binary number 11001011, you move each bit two places to the right. This results in: 00110010.
The two leftmost bits are filled with 0s.
Step 3
(c) Explain the effect of performing a 2-place shift to the right on the binary number 11001011.
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Answer
Performing a 2-place shift to the right on the binary number 11001011 effectively divides the number by 4 (since 2 raised to the power of 2 equals 4). In this case, 203 (the denary equivalent of 11001011) divided by 4 gives 50.75, meaning the integer result would be 50 (in denary), and the lost bits represent the fractions discarded in this division operation.
