Mind Map

1. Modulo

1.1. Modulo is the operator that can calculate the remainder after the division operation of one number by another. Integer N divided by integer D, the modulo is given from the formula N = D * Floor(N/D) + M

2. Binary Arithmetic's

2.1. All because the number system changes, it doesn’t mean the principles of math do. Regardless of the base.

3. Set Laws of Intersection

3.1. There exists a universal set U which holds all possible values, x is an element of that set. Set A and set B belong to universe U and can be defined by the intersection point that both sets follow.

4. Storage Conventions

4.1. MSB [Most Significant Bit] used as the sign indicator for all conventions. Unable to tell the difference between positive and negative. Must have the correct number of bits in order to hold the proper magnitude of values required or it will be wrong. Recall 2n-1 is the max decimal number possible given n bits.

5. Two's Complement

5.1. Modern way to represent integers. Positive integers are represented in the same manner while negatives follow a different set of rules to distinguish them.