AI-2DECIMAL SYSTEMA number system with a base or radix of 10.DEMORGAN’S THEOREMThis theorem has two parts: the first states that AB = A + B ; the second statesthat BA + = A B .DIFFERENCEThat which is left after subtraction.DISTRIBUTIVE LAW(1) a term (A) ANDed with a parenthetical expression (B+C) equals that term ANDedwith 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).DIVIDENDA number to be divided.DIVISORA number by which a dividend is divided.DOUBLE NEGATIVE LAWA 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 allinputs are HIGH.EXCLUSIVE-OR (X-OR) GATEA logic circuit that produces a HIGH output when one and only one input isHIGH.EXPONENTA number above and to the right of a base indicating the number of time the base is multiplied byitself; 2^{4} = 2222.FLIP-FLOPA bistable multivibrator.FRACTIONAL NUMBERA symbol to the right of the radix point that represents a portion of a completeobject.HEXADECIMAL (HEX) SYSTEMThe base 16 number system using 0 through 9 and A, B, C, D, E, and F assymbols.IDEMPOTENT LAWStates that a term ANDed with itself or ORed with itself is equal to the term; AA = A,A+A = A.INVERTERA logic gate that outputs the complement of its input.J-K FLIP-FLOPCan perform the functions of the RS, T, and D flip-flops.LAW OF ABSORPTIONThis 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 IDENTITIESThe two statements A( A +B) = AB and A+ A B = A+B are based on thecomplementary law.LAW OF IDENTITYStates that a term TRUE in one part of an expression will be TRUE in all parts of theexpression; A = A, A = A .LAW OF INTERSECTIONA term ANDed with 1 equals that term, and a term ANDed with 0 equals 0; A·1 =A, A· 0 = 0.