Number and Logic Systems

In this section you will be introduced to number bases by considering number systems you encounter every day, for example the conversion of seconds to minutes or hours to days.

We’ll look at the use of binary and hexadecimal systems within the computer, including  the use of ASCII and Unicode to represent characters and symbols and RGB values used to represent colours in web design and you’ll learn how to convert numbers between bases 2, 10 and 16. We’ll also consider the importance of base two (binary) in calculating available memory from the width of the address bus, the size of memory modules in powers of 2 and give an explanation of bits, bytes, kilobytes, IP addressing and subnet masking.

Arithmetic in number bases 2 and 16 will include addition and subtraction applying 2’s complement. We’ll also look briefly at multiplication and division and factors affecting the accuracy of calculations.

Logical operators will be presented using both words and symbols for gates. We’ll look at some practical applications, including the use of truth tables to simplify code or circuitry, logic gate diagrams to show equivalencies, using masks to change data from lower to upper case or determining a network address from an IP address and subnet mask.

Next: Number Bases