MATHEMATICAL LOGIC Basic Concepts: numerical systems binary octal hexadecimal truth tables Boolean algebra arithmetics and geometric progressions logical sequences logical reasoning gate arrangements

We present the binary, octal, hexadecimal numeration systems with operation and conversion tests between these systems. We present tables for amounts expressed in binary, octal and hexadecimal. We present complement of 1 and 2 complement and several operations with binary. We present Boolean algebra and AND, OR, NAND, NOR, OR EXCLUSIVE, CONDITIONAL AND EQUIVALENCE relations and their Truth Tables. We present forms of transformation of more complex relationships like OR Exclusive, Conditional and Equivalence under the more simplified forms of AND and OR relations. We present several logical reasoning testes. We present the Arithmetic and Geometric Progressions with several tests. We present logical numeric sequences and logical geometric sequences. We present primary logical circuits or gate arrangements We present theory of the sets with many tests.