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3 questions · 5 marks
Binary, denary and hexadecimal patterns represent numbers.
Convert the binary pattern 1110 1100 to denary.
Award one mark for:
236
Why: Correct: 128 + 64 + 32 + 8 + 4 = 236 (1).
55
Why: Reads the place values from the wrong end (the left-hand bit as 1), so the value is wrong.
5
Why: Counts the 1s instead of adding their place values.
Binary patterns can represent numbers.
Convert the hexadecimal number D3 to 8-bit binary.
Award one mark for each correct nibble in the correct order:
0 marks if the response is not 8-bit binary.
1101 0011
Why: Each digit is 4 bits: D = 1101, 3 = 0011 (2).
1101 0100
Why: Converts 3 as if it were the next digit up. The first nibble is correct (1); the second is not.
0011 1101
Why: The nibbles are in the wrong order. Neither nibble is correct.
Computer systems manipulate bit patterns.
Complete the table with the result of applying the shift to the binary pattern.
| Binary pattern | Shift | 8-bit binary result |
|---|---|---|
| 1000 0111 | Logical shift right by 1 |
Award one mark for each correct nibble in the correct order:
0 marks if the response is not 8-bit binary.
0100 0011
Why: Every bit moves 1 place right, with 0s in from the left: both nibbles are correct (2).
0100 0010
Why: A slip in the last bit. The first nibble is correct (1); the second is not.
0000 1110
Why: Shifts the bits the wrong way. Neither nibble is correct.
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