Number Systems & Conversion
This Base 2 number system uses only 0s and 1s.
What is the binary number system?
This logic operation outputs 1 only when both inputs are 1
What is the AND operation?
This Boolean law states: (XY)Z = X(YZ) = XYZ
What is the associative Law?
In SOP form, each product term is called this
What is a minterm?
This is the main purpose of using a Karnaugh map
What is simplifying/minimizing a Boolean expression?
This is the decimal equivalent of 10112
What is 1110?
Write the Boolean expression for an XOR gate using AND, OR, and NOT
What is A'B + AB'?
According to DeMorgan’s Law, (A + B)' equals?
What is A'B'?
Two reasons why some functions have don’t-care terms
What is optimization, and impossible/invalid input combinations?
Adjacent cells in a K-map must differ in this number of variables.
What is one variable (one bit)?
Convert 45 to binary
What is 1011012?
Amount of variables in the following expression. Amount of literals.
A'BC'D + AB + B'CD + D'
What are 4 variables? What are 10 literals?
Simplify: A + A'B
What is A + B?
Amount of minterms possible for a function with 3 variables
What is 8?
Groups in a K-map must contain this number of cells.
What are powers of two (1, 2, 4, 8, ...)?
Convert 1101012 to hexadecimal (base-16)
What is 3516?
The inverse of F = AB’ + A’B is?
What is F' = A'B'+AB
Simplify: AB + A'B + AB'
What is A + B?
You should laugh at a joke if it is funny, it is in good taste, and it is not offensive to others, or if it is told in class by your professor (regardless of whether it is funny and in good taste), and it is not offensive to others.
What is L = FGO’ + PO’
For a 4-variable k-map, these squares are adjacent to square 14
What is 6, 10, 12, 15
Convert 3A16 to binary
What is 001110102?
Find the output and design a simpler circuit having the same output
What is Y = A + B
Simplify this expression: AC’ + AB'D + A’B’C + A'CD' + B’C’D’
What is AC’ + A’CD’ + B’C’D’ + B’CD
Write the POS form for F (A,B,C) = ∏M (0,2,5)
What is (A + B + C)(A + B' + C)(A' + B + C')?
F(A,B,C,D,E) = ∑m(0,2,3,5,8,11,13,20,25,26,30) + ∑d(6,7,9,24). Find the minimum SOP.
What is F = BC’D’ + ABDE’ + A’CD’E + A’C’DE + A’B’C’E’ + AB’CD’E’