Binary Shifts (3 marks)
Perform a left binary shift by 2 places on the binary number 10110011. State the new binary number and explain the effect of this shift on the original number’s value.
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Data Representation
Binary to Hexadecimal Conversion (3 marks)
Convert the binary number 11010110 to its hexadecimal equivalent. Show your working.
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Conversion of Denary to Hexadecimal (3 marks)
Convert the denary number 225 into a 2-digit hexadecimal number. Show your working.
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Adding Binary Integers (3 marks)
Add the binary numbers 1101 and 1011. Show your working, including handling any overflow.
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Conversion of Denary to Binary (2 marks)
Convert the denary number 157 to an 8-bit binary number. Show your working.
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Calculating the File Size of a Text File (2 marks)
Given a text file with 1,000 characters where each character is stored using 8 bits, calculate the file size in kilobytes (KB). Use the formula: file size = bits per character x number of characters, and convert the result to kilobytes (1KB = 8,000 bits).
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Calculating the File Size of an Image File (2 marks)
Given an image with a colour depth of 24 bits, a width of 1920 pixels, and a height of 1080 pixels, calculate the file size in megabytes (MB). Use the formula: file size = colour depth x image height x image width, and convert the result to megabytes (1 byte = 8 bits, 1MB =
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Calculating the File Size of a Sound File (2 marks)
Given a sound file with a sample rate of 44kHz, a bit depth of 16 bits, and a duration of 3 minutes, calculate the file size in megabytes (MB). Use the formula: file size = sample rate x duration (s) x bit depth, and convert the result to megabytes (1 byte = 8 bits, 1MB
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Calculation of Data Capacity Requirements (3 marks)
A digital library needs to store 1,000 ebooks. If the average size of an ebook is 2.5MB, calculate the total storage capacity required in gigabytes (GB). Use 1,000 bytes = 1KB, 1,000KB = 1MB, and 1,000MB = 1GB. Show your working.
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The Need For Binary In Systems (2 marks)
Explain why computers use binary to store data.
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