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Computers carry out mathematical operations - Edexcel - GCSE Computer Science - Question 5 - 2019 - Paper 1

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Computers carry out mathematical operations. (a) Give the result of applying a logical shift left by 2 to the 8-bit binary pattern 00110110. (b) Describe the funct... show full transcript

Worked Solution & Example Answer:Computers carry out mathematical operations - Edexcel - GCSE Computer Science - Question 5 - 2019 - Paper 1

Step 1

Give the result of applying a logical shift left by 2 to the 8-bit binary pattern 00110110.

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Answer

To perform a logical shift left by 2 on the 8-bit binary pattern 00110110, we will move each bit two positions to the left and fill in the new positions with zeros.

  1. The original binary: 00110110

  2. Shifting left by 2 positions results in: 11000000.

Thus, the result of the logical shift left operation is 11000000.

Step 2

Describe the function of the component labelled A.

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Answer

The component labelled A typically represents the cache memory or a buffer in a computer system. Its primary function is to temporarily store frequently accessed data and instructions from the main memory to speed up their retrieval. By doing this, it reduces the average time needed to access memory, improves the overall speed of the CPU operations, and enhances the efficiency of the system.

Step 3

Convert the binary number 00111101 to hexadecimal.

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Answer

To convert the binary number 00111101 to hexadecimal, we need to group the binary digits into sets of four, starting from the right:

  1. Grouping: 0011 1101

  2. Convert each group to its hexadecimal equivalent:

    • 0011 in binary is 3 in hexadecimal.
    • 1101 in binary is D in hexadecimal.

Combining these gives us the hexadecimal value: 3D.

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