Truth Tables, Logic Expressions, and Data Calculations Explained
School
University of Computer Study, Yangon**We aren't endorsed by this school
Course
COM 101
Subject
Computer Science
Date
Dec 12, 2024
Pages
3
Uploaded by mohmohzan
1. Read the following description, then draw the truth table and write logic expression for thissystem.Three persons named X, Y, and Z participate the game called “On - Off”. Each person hashis/her own electronic switch, and everyone will turn ON or turn OFF the switch all at oncewhen a commander gives a start command. They will win the game if one of the followingthree cases (1) through (3) is true. Otherwise, they will lose the game.(1) Person X turns ON, Person Y and Person Z turn OFF(2) Person X and Person Z turn ON, Person Y turns OFF(3) Person Y turns ON, Person X and Person Z turn OFF2. For the following circuit,find the logical expression and simplify it using logical laws. Then,express the circuit’s name is equivalent to this expression.3. When a total of 400 data records are stored in contiguous memory starting from the address02748, Determine the address where the last data record is stored? Here, each data recordoccupies one address location, and each address is represented in radix notation. 4. There is a digital video recording system installed with four security cameras. In this system,the video data from each camera is captured at 30 frames per second with a resolution of640×480 pixels and a color depth of 16 bits per pixel, and then it is stored in the hard diskdrive. Calculate the approximate storage capacity (in bytes) that is required for recording allvideo data for one minute? 5. Calculate the following logical expression. Here, each number is represented in radix notation;that is, the radix is represented by a subscript following the number.61408+ 100111002– C46166. In a system, one block is composed of 8 sectors and a sector comprises 500 bytes. The systemmanages files by allocating file area in units of blocks. When files with a size of 2,000 bytes1
and 9,000 bytes are saved, calculate the total number of sectors that is allocated to these twofiles? Here, sectors occupied by management information such as directories are ignored inthe calculation.7. There is a hard disk drive that has the specifications shown in the table below. When a recordof 10,000 bytes is read out from this disk, approximately how long (in milliseconds) does ittake to access the disk and to complete the data transfer? Here, the data is stored contiguouslyfrom the beginning of one track, and the entire data on the track can be read and transferredper revolution.8. For an automaton with input and output symbols {0, 1} and a state transition diagram shownbelow, determine the output string for the input string 0011001110? Here, S1represents theinitial state, and the label x/y on each arc indicates that if x is an input, then y is thecorresponding output at the state transition.9. Calculate the (approximate) decimal value that conform to the IEEE 754 floating-point formatof the number (0 10001110 00000000000000000000001).10. When a color image is stored in video memory at a total resolution of 24 bits per pixel,approximately how many megabytes (MB) are required to display the image on the screenwith a resolution of 1024 × 768 pixels? Here, 1 MB is 106bytes. 2
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