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Task
Question 1
a) 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:
0 01111110 10100000000000000000000
Question 2
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 X'Y + XYZ' + Y' + XZ (Y+Y') = 1. Please show all steps and mention the identities used.
Verified Expert
Boolean algebra is very useful in designing logic circuits used by the processors of computer systems.Elementary logic gates are used to build up circuit of different type to perform the necessary arithmetic operation.Minimization deals with the methods simplification of Boolean expression.Many techniques can be used to convert numbers from one base to another.
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this is computer organization and architecture subject - Using basic Boolean algebra identities for Boolean variables A, B and C, prove that X'Y + XYZ' + Y' + XZ (Y+Y') = 1. Please show all steps and mention the identities used.
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