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Page Title: Appendix I - Continued
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Appendix I Glossary
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Neets Module 13-Introduction to Number Systems and Logic Circuits
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Appendix I - Continued

AI-2 DECIMAL SYSTEM ¾A number system with a base or radix of 10. DEMORGAN’S THEOREM ¾This theorem has two parts: the first states that  AB  =  ; the second states that B + =  A  B . DIFFERENCE ¾That which is left after subtraction. DISTRIBUTIVE LAW ¾(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 ¾A number to be divided. DIVISOR ¾A number by which a dividend is divided. DOUBLE NEGATIVE LAW ¾A term that is inverted twice is equal to the term;   = A. DOWN COUNTER¾A circuit that counts from a predetermined number down to 0. EXCLUSIVE-NOR (X-NOR) ¾A logic circuit that produces a HIGH output when all inputs are LOW or all inputs are HIGH. EXCLUSIVE-OR (X-OR) GATE ¾A logic circuit that produces a HIGH output when one and only one input is HIGH. EXPONENT ¾A 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 ¾A bistable multivibrator. FRACTIONAL NUMBER ¾A symbol to the right of the radix point that represents a portion of a complete object. HEXADECIMAL (HEX) SYSTEM ¾The base 16 number system using 0 through 9 and A, B, C, D, E, and F as symbols. IDEMPOTENT LAW ¾States that a term ANDed with itself or ORed with itself is equal to the term; AA = A, A+A = A. INVERTER ¾A logic gate that outputs the complement of its input. J-K FLIP-FLOP ¾Can perform the functions of the RS, T, and D flip-flops. LAW OF ABSORPTION ¾This 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 ¾The two statements A( +B) = AB and A+ B = A+B are based on the complementary law. LAW OF IDENTITY ¾States 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 ¾A term ANDed with 1 equals that term, and a term ANDed with 0 equals 0; A·1 = A, A· 0 = 0.

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