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Computers represent data in binary form - OCR - GCSE Computer Science - Question 1 - 2023 - Paper 1

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Computers represent data in binary form. (a) Tick (✓) one box to identify the statement about binary that is true. - Binary digits can only be the values 0, 1 and ... show full transcript

Worked Solution & Example Answer:Computers represent data in binary form - OCR - GCSE Computer Science - Question 1 - 2023 - Paper 1

Step 1

Tick (✓) one box to identify the statement about binary that is true.

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Answer

The correct statement is: 'Binary is used because computers are made of switches that can only be on or off.' This statement reflects the fundamental nature of binary, which consists of only two values, 0 and 1, representing the off and on states of switches.

Step 2

Complete the table by writing the missing denary, 8-bit binary or hexadecimal values.

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Answer

  1. For the denary value 49, the 8-bit binary equivalent is 00110001, which can be derived by converting 49 to binary.
  2. The hexadecimal equivalent of 01100110 (binary) is 66. This can be calculated by grouping the binary into nibbles and converting each nibble.
  3. The denary value 244 corresponds to the 8-bit binary value 11110100. This is the binary representation of 244.

Step 3

Complete the binary addition by adding these two 8-bit binary numbers.

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Answer

The binary addition is calculated as follows:

  01101001
+ 10011110
  __________
  11100111

This result is derived by performing binary addition, carrying over where necessary.

Step 4

Identify the binary shift that has been applied to the 8-bit binary number 10111000 to get the result 10000000.

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Answer

The binary shift applied is a left shift. This can be proven as the leftmost bit (1) moves one place to the left, filling the rightmost position with a 0, thus transforming 10111000 into 10000000.

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