IT_105_Homework3

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Northern Virginia Community College *

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105

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Computer Science

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Feb 20, 2024

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IT105 IT Architecture Fundamentals Homework Assignment #3 (Chapter 3) DirecƟons Read each quesƟon and respond carefully. Once answered, follow the direcƟons in Blackboard to submit your answers. QuesƟons 1) Convert decimal 327 to binary form and show your work. (10 points) 2) Convert binary 11111101 to decimal and show your work. (10 points) 3) Perform the following binary operaƟons and show all your work. (5 points each) a. 11110100 + 11001010

b. 110010110 – 100111100 c. 101111 * 10111 d. 110011000 ÷ 1100 4) What is the range of decimal values that can be represented using 11 binary bits? (10 points) 5) How many bits is required to represent the following decimal numbers? (5 points each) a. 2 KiloBits b. 40 MegaBytes c. 10 GigaBits 6) Solve each binary operaƟon by first converƟng them into binary form. Show all your work. (5 points each) a. Binary mulƟplicaƟon of (12 x 9).

b. Binary subtracƟon of (7 – 15). c. Binary division of (12 / 3). 7) TV 8) Convert (1425.75) 10 into a 32-bit Single Precision IEEE ﬂoaƟng-point binary number. Show your work. (10 points) 9) Describe ASCII, extended ASCII, Unicode and UTF-8. (10 points)

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