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1.2(b) Units and Data Storage

GCSE Computer Science (J277)

1. Convert the denary number 221 into 8 bit binary. Show your working
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2. Convert the hexadecimal number 2F into denary. Show your working.
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3. Convert the binary number 10110000 into hexadecimal
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4. Identify how many unique values can be represented by 4 bits.
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5. Perform a binary shift of 3 places right on the binary number 10001110
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6. A student is creating a range of documents for a school project.
The student records a podcast about computer science.
Describe how an analogue sound wave is converted into digital form
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7. Tick (3) one or more boxes on each row to identify the effect(s) that each change will have on the sound file.
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Change File size increases File size decreases Accuracy increases Accuracy decreases
Duration changes from 10 minutes to 20 minutes
Sample rate changes from 44 kilohertz to 8 kilohertz
Bit depth changes from 8 bits to 16 bits
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8. Computers represent data in binary form
Tick one box to identify the statement about binary that is true
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statement True False
Binary digits can only be the values 0, 1 and 2
The left-most bit of a binary integer has the smallest value
Binary is used because computers are made of switches that can only be on or off
The smallest whole number that can be stored in 8 bits is the number 1
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9. Which is the largest file size of these?
2 000 000 bytes
2300 KB
200 MB
0.1 GB
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10. Complete the binary addition by adding these two 8-bit binary numbers.
Show all your working
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11. Identify the binary shift that has been applied to the 8-bit binary number 10110000 to get the result 10000000.
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12. A character set stores [BLANK] of the characters that the computer can represent. Each character is given a [BLANK] binary code. Lower-case and
upper-case letters in a character set are given [BLANK] binary codes. One example of a character set is ASCII. This character set uses [BLANK] bits for each character. If the code value for the character ‘F’ is 70 then the code value for the character ‘L’ is [BLANK]
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Word Bank:
2 4 8 9 16 32 256 71 72 74 76 78 80 81 all different identical one repeated some unique
A character set stores of the characters that the computer can represent. Each character is given a binary code. Lower-case and upper-case letters in a character set are given binary codes. One example of a character set is ASCII. This character set uses bits for each character. If the code value for the character ‘F’ is 70 then the code value for the character ‘L’ is
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13. Binary numbers can also represent images.
a) The metadata states that an image is 3 pixels wide by 4 pixels high.
State what is meant by metadata in an image file.
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b) A colour depth of 4 is used. This means 4 bits are used to store the colour for each
pixel.
State the maximum number of different colours that can be represented in 4-bits
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c) The colour depth is increased to 2 bytes.
State two effects that this change can have on the image
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14. A student has a text document and an image file that need to be compressed separately.
The student needs to reduce the file size of both of these files as much as possible.
a) Identify the most suitable type of compression for the text document. Justify your choice
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b) Identify the most suitable type of compression for the image file. Justify your choice.
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