# ITC 544 Computer Organisation And Architecture

## Question:

A Computer uses IEEE-754 single precision format to represent floating points. What value (in decimal) the computer represents if the floating point is represented using the following binary digits:

b) Using a "word" of 5 bits, list all of the possible signed binary numbers and their decimal equivalents that are represent able in:
i. Signed magnitude
ii. One's complement
iii. Two's complement

a) Write a Boolean function and construct a logic diagram of a circuit which use of basic logic gates to activate CSU main entrance door during 9:00 am to 12:00 pm and after lunch time during 1:00 pm - 4:00 pm. You need to use 24 hour clock timing when designing this circuit.

Please insert the Boolean expression, minimisation, and the diagram
b) Using basic Boolean algebra identities for Boolean variables A, B and C, prove that Xâ€™Y + XYZâ€™ + Yâ€™ + XZ (Y+Yâ€™) = 1. Please show all steps and mention the identities used.

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[Accessed 31 January 2023].

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