AI-2
DECIMAL SYSTEM A number system with a base or radix of 10.
DEMORGANS THEOREM This theorem has two parts: the first states that AB = A + B ; the second states
that
B
A +
= A B .
DIFFERENCE That which is left after subtraction.
DISTRIBUTIVE LAW (1) a term (A) ANDed with a parenthetical expression (B+C) equals that term ANDed
with each term within the parenthesis: A(B+C) = AB+AC; (2) a term (A) ORed with a parenthetical expression
(BC) equals that term ORed with each term within the parenthesis: A+(BC) = (A+B)(A+C).
DIVIDEND A number to be divided.
DIVISOR A number by which a dividend is divided.
DOUBLE NEGATIVE LAW A term that is inverted twice is equal to the term; A = A.
DOWN COUNTERA circuit that counts from a predetermined number down to 0.
EXCLUSIVE-NOR (X-NOR) A logic circuit that produces a HIGH output when all inputs are LOW or all
inputs are HIGH.
EXCLUSIVE-OR (X-OR) GATE A logic circuit that produces a HIGH output when one and only one input is
HIGH.
EXPONENT A number above and to the right of a base indicating the number of time the base is multiplied by
itself; 24 = 2 2 2 2.
FLIP-FLOP A bistable multivibrator.
FRACTIONAL NUMBER A symbol to the right of the radix point that represents a portion of a complete
object.
HEXADECIMAL (HEX) SYSTEM The base 16 number system using 0 through 9 and A, B, C, D, E, and F as
symbols.
IDEMPOTENT LAW States that a term ANDed with itself or ORed with itself is equal to the term; AA = A,
A+A = A.
INVERTER A logic gate that outputs the complement of its input.
J-K FLIP-FLOP Can perform the functions of the RS, T, and D flip-flops.
LAW OF ABSORPTION This law is the result of the application of several other laws. It states that A(A+B) =
A or A+(AB) = A.
LAW OF COMMON IDENTITIES The two statements A( A +B) = AB and A+ A B = A+B are based on the
complementary law.
LAW OF IDENTITY States that a term TRUE in one part of an expression will be TRUE in all parts of the
expression; A = A, A = A .
LAW OF INTERSECTION A term ANDed with 1 equals that term, and a term ANDed with 0 equals 0; A·1 =
A, A· 0 = 0.