NUMBER SYSTEMS (Part 2)

Question 1

DETERMINING THE RADIX

Answer 1

USING POSITIONAL NOTATION, BOTH DIGITS MUST BE CONVERTED TO DECIMAL THEN SOLVE FOR THE UNKNOWN BASE.

Question 2

NUMBER SYSTEM OPERATIONS

Answer 2

1. ARITHMETIC OPERATIONS
2. BITWISE OPERATIONS
3. RELATIONAL OPERATIONS

Question 3

used to evaluate a condition that’s applied to one or two boolean expressions. The result of the evaluation is either true or false.

Answer 3

RELATIONAL OPERATIONS

Question 4

works with the binary representation of a number rather than that number’s value. The operand is treated as a set of bits, instead of as a single number. Bitwise operators are similar in most languages that support them.

Answer 4

bitwise operator

Question 5

Two forms of complement

Answer 5

DIMINISHED RADIX:
RADIX:

Question 6

〖(𝑟−1)〗^′ 𝑠 𝐶𝑜𝑚𝑝𝑙𝑒𝑚𝑒𝑛𝑡=(𝑟^𝑛−1)−𝑁

Answer 6

DIMINISHED RADIX:

Question 7

𝑟^′ 𝑠 𝐶𝑜𝑚𝑝𝑙𝑒𝑚𝑒𝑛𝑡=[(𝑟^𝑛−1)−𝑁]+1

Answer 7

RADIX: