Number Systems
What base is used by the binary numbering system?
Base 2
What is the output of an AND gate if one input is 1 and the other is 0?
0
What is the commutative property of addition in Boolean Algebra?
A + B = B + A
What code is used in K-maps to ensure only one digit changes between adjacent cells?
Gray Code
What is the function of Pin 1 on the LM555 timer?
Ground
In hexadecimal, what is the decimal equivalent of the digit 'F'?
15
Which gate is known as a universal gate along with the NOR gate?
NAND Gate
Simplify the expression A+A′A + A'A+A′.
1
What is the value of a K-map cell with inputs A=0A = 0A=0 and B=1B = 1B=1?
Depends on the circuit
Which pin triggers the flip-flop in an LM555 timer?
Pin 2
How do you group binary numbers when converting to octal?
In groups of three bits, starting from the least significant bit
What does the NOT gate do to its input?
Inverts it
What theorem states that (A+B)′=A′⋅B′(A + B)' = A' \cdot B'(A+B)′=A′⋅B′?
DeMorgan's First Theorem
What is the primary purpose of a Karnaugh Map?
To simplify Boolean expressions
What does the LM555 timer's discharge pin (Pin 7) do?
Discharges the timing capacitor
Convert the binary number 1011 to decimal.
11
What is the Boolean expression for a 2-input OR gate?
A + B
AB+AB′.
A
How many cells are in a 3-variable K-map?
8
What type of multivibrator oscillates constantly without a stable state?
Astable
What is the hexadecimal representation of the binary number 11110000?
F0
What does the XOR gate output when both inputs are the same?
0
What is the output of the expression ABC′+AB′C+A′BCABC' + AB'C + A'BCABC′+AB′C+A′BC for A=1,B=0,C=1A = 1, B = 0, C = 1A=1,B=0,C=1?
1
Simplify AB+AB′+A′BAB + AB' + A'BAB+AB′+A′B using a K-map.
A + B
Name an application of the LM555 timer.
LED flasher, alarm generation, frequency division, etc