WorksheetsData - EQ
Total questions: 50
Worksheet time: 25mins
Convert the denary number 57 to 8-bit binary.
(a)
Convert the binary number 0010 1101 to hexadecimal.
2D
1F
3B
27
The process of converting a binary number to two's complement involves:
Inverting all bits and adding 1 to the result
Adding all bits together
Multiplying the number by -1
Shifting all bits to the left
Explain what has happened as a result of adding these two 8-bit binary numbers.
An overflow has occurred.
The sum is within the 8-bit range.
A carry bit is generated but no overflow.
The numbers cannot be added.
If d is represented in 64 in ASCII, what is a?
61
67
41
44
Apply a logical shift left by 3 to 1010 0011
0001 1000
1000 1100
0011 0001
0100 0111
Apply an arithmetic shift right by 2 to 1100 1010
1111 0010
0011 0010
0011 0001
0100 0111
Identify the correct statement about overflow.
Causing the program to crash during an arithmetic operation
Requiring more bits to store a result than are available to store it
Switching between binary and hexadecimal number systems
Using an index less than 0 or greater than the length of an array
Convert the denary value +112 to 8-bit binary representation.
(a)
Give the 8-bit binary two's complement representation of denary -73.
10111001
10101111
11001001
10011001
Convert the binary pattern 0100 0010 to denary.
(a)
Convert the binary pattern 0101 1011 to hexadecimal.
5B
6C
4F
7A
State the number of unique values that can be represented with 6 bits.
(a)
A 5-colour bitmap image uses 6-bit colour depth. The image is 96 pixels wide and 128 pixels high.
What is the missing number on the numerator?
6
5
1024
8
Decreasing the sample interval improves the digital representation of a sound wave because:
It increases the number of samples taken, resulting in a more accurate representation.
It reduces the file size of the sound wave.
It decreases the frequency of the sound wave.
It makes the sound wave louder.
What is the result of 1001 0110 + 0101 0001.
1 1 1 0 1 1 1 1
1 0 0 0 1 1 1 1
1 1 0 0 1 1 0 1
1 0 1 1 0 1 1 1
Complete the table to show the result of the 8-bit binary addition.
1 0 1 0 0 1 1 1
1 1 0 0 1 0 1 0
0 1 1 0 1 1 0 1
1 0 0 1 1 0 1 0
Construct an expression to calculate the file size of the image in MiB.
File size (MiB) = (width × height × color depth) / (8 × 1024 × 1024)
File size (MiB) = (width × height × color depth) / (1024 × 1024)
File size (MiB) = (width × height × color depth) / (8 × 1000 × 1000)
File size (MiB) = (width × height × color depth) / (1000 × 1000)
(i) Convert the binary number 0011 1101 to hexadecimal.
1D
3D
2F
4B
Hexadecimal notation is used because:
It is easier for humans to read and write large binary numbers.
It is the only way to represent numbers in computers.
It is slower to convert than binary.
It is not used in computing.
Convert the binary number 0100 1010 to hexadecimal.
4A
2B
3C
5D
Convert the denary number -33 to 8-bit binary using two's complement.
(a)
Convert the denary number 82 to 8-bit binary.
(a)
Convert the hexadecimal number 2A to 8-bit binary.
(a)
Q21. Images can be represented as bitmaps. (i) A ______ is the smallest unit of a digital image.
pixel
byte
vector
frame
Changing the number of bits allocated to the colour depth in a bitmap image determines:
The size of the image file
The number of colours that can be represented
The physical dimensions of the image
The resolution of the image
The term 'sample interval' is defined as:
The time between successive samples in a measurement process.
The total number of samples collected.
The maximum value recorded in a sample set.
The process of analyzing collected data.
One effect of using lossy compression to reduce the size of a file is:
The file may lose some original data and quality.
The file becomes impossible to open.
The file size increases significantly.
The file is encrypted for security.
ASCII is:
A character encoding standard for electronic communication
A type of computer virus
A programming language
A data compression algorithm
One reason that lossless compression is preferred to lossy compression for transmitting word-processed documents over a network is:
It preserves all the original data without any loss.
It reduces the file size more than lossy compression.
It is faster to transmit than lossy compression.
It encrypts the document for security.
Which type of compression is most suitable for sound in promotional products such as CDs, toys, greeting cards, and digital downloads, considering the need for sound quality and file size?
Lossless compression for all products
Lossy compression for all products
Lossless for CDs and digital downloads, lossy for toys and greeting cards
Lossy for CDs and digital downloads, lossless for toys and greeting cards
At least nine bits are needed to store 300 different binary patterns because:
8 bits can only store up to 256 patterns, while 9 bits can store up to 512 patterns.
Each bit can only store one pattern.
300 is a prime number and requires more bits.
Nine bits are the minimum for any binary storage.
Q30. Why can't 7-bit ASCII be used to represent the following text? The quick brown fox jumps over the lazy dog 素早い茶色の狐が怠惰な犬を飛び越えます
Because 7-bit ASCII only supports English characters and not Japanese characters.
Because 7-bit ASCII supports all languages.
Because 7-bit ASCII can only represent numbers.
Because 7-bit ASCII is used for images.
Q31. Here is an original image.
There is one bit available to represent each pixel.
Which of the following is a reason why the image cannot be accurately represented using one bit for each pixel?
One bit only allows two colors, so shades and details are lost.
One bit allows for millions of colors, preserving all details.
One bit increases the resolution of the image.
One bit makes the image file size larger than the original.
Q32. Give an expression to calculate the size of a bitmap image, not the size of the file that stores the image.
Size = Width × Height × Color Depth (in bits)
Size = Width + Height + Color Depth (in bits)
Size = Width × Height ÷ Color Depth (in bits)
Size = Width × Height × 2
Give the 8-bit binary representation of the denary number 82.
01010010
10100100
01101010
10010010
Identify the 4-bit binary addition that will result in an overflow error.
A 1001+1000
B 0011+1001
C 1000+0110
D 0111+1000
Identify the maximum number of values that can be represented with 5 bits.
5
16
25
32
The number of bits determines the number of patterns that can be represented. (i) Identify the number of symbols available in the hexadecimal system.
2
8
10
16
Identify the reason why data capacity should be expressed in gibibytes rather than gigabytes.
Gibibytes are consistent with the units used for data transmission
Gibibytes represent binary multiples
More data can be represented in gibibytes
Processors have to carry out fewer operations when using gibibytes
Identify the result of a single logical shift left on the 8-bit binary pattern 0101 0101.
Addition
Division
Multiplication
Subtraction
Identify the smallest unit of measurement.
bit
byte
kibibyte
nibble
A car park uses a number-plate recognition system. Identify the reason why an unsigned integer should be used to record the number of cars entering the car park, rather than a signed integer.
Unsigned integers are more accurate
Unsigned integers cannot have overflow errors
Unsigned integers store more positive values
Unsigned integers do not use a parity bit
A pixel is the smallest element in a bitmap image. (i) Two images are displayed on the same screen. One image is 1280 × 720 pixels. The second image is 1920 × 1080 pixels. The second image has a higher resolution. The second image will be displayed in more detail because:
It has more pixels, so it can show finer details.
It uses brighter colors.
It is displayed at a larger size.
It has a different file format.
The height of a sound wave is called:
Frequency
Amplitude
Wavelength
Pitch
Which of the following is a benefit of increasing the bit depth of audio?
Improved sound quality
Reduced file size
Faster transmission speed
Lower power consumption
Q43. The ASCII system is used to represent letters and symbols. (i) State the number of bits used to represent each letter or symbol in ASCII.
7
8
6
5
The ASCII system is used to represent letters and symbols. (ii) The ASCII code 65 represents the letter A. Give the letter represented by the ASCII code 68.
D
B
F
Z
After applying compression to a file, the original contents cannot be reconstructed fully. State the type of compression used on the file.
Lossy compression
Lossless compression
Reversible compression
Perfect compression
There are not enough bits to store the result or an overflow occurs because:
The result exceeds the maximum value that can be represented with the available bits.
The result is always zero.
The result is always negative.
The result is always positive.
