2. a) Express the number B6, in decimal nd binary number.
b) Add the following two binary numbers and show the correctness
of the result by converting them into decimal numbers: 101010+
110001
c) Draw the Truth able of a 2-input NOR gate.
d) What will be the Boolean expression of X?
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2) a) for B6
Binary result = 10110110
Decimal result = 182
(b) Binary value:
101010 + 110001
= 01011011
Decimal value:
42 + 49
= 91
(c) For a 2-input NOR gate, the output Q is true if BOTH input A and input B are NOT true, giving the Boolean Expression of: ( Q = not(A OR B) ). As well as the standard logic gates there are also two special types of logic gate function called an Exclusive-OR Gate and an Exclusive-NOR Gate.
(d) The Boolean expression X + X' Y equals X + Y. Boolean algebra is the mathematics we use to analyze digital gates and circuits.
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