# Number Charts

=== by Bob Sutherland ===

This is a collection of number lists, conversion charts and math review notes for topics I have taught in Math, Science and Computer classrooms. Included are Roman Numerals; binary, octal and hexadecimal numbers; base 26 Alphabet numbers; base 32, base 60 and base 64 numbers; numbers squared; numbers cubed; and some exponent lists that include powers of 2, 8, 16, 26, 32, 60 and 64.

## Our Counting Numbers

- Math Review of Number Systems
- As you get older and are promoted up through the grades in school your Arithmetic and Mathematics teachers may confuse you by frequently changing the name of our basic number system. Here is an explanation of the different names teachers use to refer to the simple sequence of numbers we learned to count with on our fingers as children.
- List of Whole Numbers
- Here is a simple list of the numbers from 0 to 4000. I am sure someone will find it useful.

## Roman Numerals

- Introduction to Roman Numerals
- This is a math review of everything I taught my students in school about Roman Numerals. Here you can learn how to count by Roman Numerals and when to use Roman Numerals. You will also learn how to convert back and forth between Roman Numerals and our modern Arabic Numerals.
- List of Roman Numerals using capital letters
- A complete list of all of the Roman Numerals using capital letters from 1 to 3999. This is as high as a person can count when following the instructions given in many school math textbooks.
- List of Roman Numerals using small letters
- A complete list of all of the Roman Numerals using small letters from 1 to 3999. This is as high as a person can count when following the instructions given in many school math textbooks.
- Conversion list between Roman Numerals and Arabic Numerals
- A list of the Roman Numerals and their equivalent Arabic Numerals from 1 to 3999.

## Powers, Exponents and Scientific Notation

- A Math Review of Powers, Exponents and Scientific Notation
- A math review of the basic terminology and symbols used to represent powers, exponents, square roots, cube roots and scientific notation.
- List of Numbers Squared
- A list of the numbers from 0 to 4000 and the value of each number squared.
- List of Numbers Cubed
- A list of the numbers from 0 to 4000 and the value of each number cubed.
- Lists of the Powers of 2, 8 and 16
- If you develop the habit of reading the technical specifications of computer hardware and software you will soon realize that there is a pattern to the numbers. Almost always the measurements listed in a computer's technical specifications will be numbers from the following six charts. All six charts are included on the webpage.
- 2n = powers of 2
- 2n-1 = one less than the powers of 2
- 8n = powers of 8
- 8n-1 = one less than the powers of 8
- 16n = powers of 16
- 16n-1 = one less than the powers of 16

- Lists of the Powers of 26, 32, 60 and 64
- Four charts are included on the webpage.
- 26n = powers of 26
- 32n = powers of 32
- 60n = powers of 60
- 64n = powers of 64

- A Quick Computer Skills Aptitude Test
- Find two places where the pattern changes in this computer calculated sequence of numbers. Explain why the pattern changes. Does the pattern change indicate that your computer made an error when calculating and displaying the numbers on your screen or is something else happening?

## Binary, Octal and Hexadecimal Numbers

If you want to copy and paste some of these numbers into your own files then for software compatibility reasons it may be easier to use the lists that do not have subscripts.

- List of Binary Numbers with base 2 subscripts
- Counting from 0 to 4000, here is a list of Binary Numbers with small base 2 subscripts at the end of each number.
- List of Binary Numbers without base 2 subscripts
- Counting from 0 to 4000, here is a list of Binary Numbers without the small base 2 subscripts at the end of each number.
- List of Octal Numbers with base 8 subscripts
- Counting from 0 to 4000, here is a list of Octal Numbers with small base 8 subscripts at the end of each number.
- List of Octal Numbers without base 8 subscripts
- Counting from 0 to 4000, here is a list of Octal Numbers without the small base 8 subscripts at the end of each number.
- List of Hexadecimal Numbers with base 16 subscripts
- Counting from 0 to 4000, here is a list of Hexadecimal Numbers with small base 16 subscripts at the end of each number.
- List of Hexadecimal Numbers without base 16 subscripts
- Counting from 0 to 4000, here is a list of Hexadecimal Numbers without the small base 16 subscripts at the end of each number.
- Conversion list for Binary, Octal and Hexadecimal Numbers
- Counting from 0 to 4000, here is a list to convert between equivalent Binary, Octal and Hexadecimal Numbers.
- Conversion list for Binary and Decimal Numbers
- Counting from 0 to 4000, here is a list to convert between base 2 Binary Numbers and their equivalent base 10 Decimal Numbers.
- Conversion list for Octal and Decimal Numbers
- Counting from 0 to 4000, here is a list to convert between base 8 Octal Numbers and their equivalent base 10 Decimal Numbers.
- Conversion list for Hexadecimal and Decimal Numbers
- Counting from 0 to 4000, here is a list to convert between base 16 Hexadecimal Numbers and their equivalent base 10 Decimal Numbers.
- Conversion list for Binary, Octal, Hexadecimal and Decimal Numbers
- Counting from 0 to 4000, here is a list to convert between equivalent Binary, Octal, Hexadecimal and Decimal Numbers.
- Spreadsheet Ready List of Binary, Octal, Hexadecimal and Decimal Numbers
- Counting from 0 to 4000, here is a list of equivalent binary, octal, hexadecimal and decimal numbers separated by commas for use in spreadsheets and databases.

## Base 26 Alphabet Number System

- Introduction to base 26 Alphabet Numbers
- A description of the base 26 Alphabet Number System that can be created using the 26 letters of the English alphabet as our digits. Spreadsheets often use base 26 Alphabet Numbers to label the columns across the top of the application window.
- List of base 26 Alphabet Numbers using small letters with subscripts
- Counting from 1 to 4000, here is a list of Alphabet Numbers using small letters with base 26 subscripts at the end of each number.
- List of base 26 Alphabet Numbers using small letters but no subscripts
- Counting from 1 to 4000, here is a list of Alphabet Numbers using small letters but without the base 26 subscripts at the end of each number.
- List of base 26 Alphabet Numbers using capital letters with subscripts
- Counting from 1 to 4000, here is a list of Alphabet Numbers using capital letters with base 26 subscripts at the end of each number.
- List of base 26 Alphabet Numbers using capital letters but no subscripts
- Counting from 1 to 4000, here is a list of Alphabet Numbers using capital letters but without the base 26 subscripts at the end of each number.
- Conversion list for base 26 Alphabet Numbers and base 10 Decimal Numbers
- Counting from 1 to 4000, here is a list of the Alphabet Numbers showing how to calculate their equivalent Decimal Numbers.

## Base 32, Base 60 and Base 64 Numbers

- List of Base 32 Numbers with base 32 subscripts
- Counting from 0 to 4096, here is a list of Base 32 Numbers with small base 32 subscripts at the end of each number.
- List of Base 32 Numbers without base 32 subscripts
- Counting from 0 to 4096, here is a list of Base 32 Numbers without the small base 32 subscripts at the end of each number.
- Conversion list for Base 32 and Decimal Numbers
- Counting from 0 to 4096, here is a list to convert between base 32 Numbers and their equivalent base 10 Decimal Numbers.
- List of Base 60 Numbers with base 60 subscripts
- Counting from 0 to 4096, here is a list of Base 60 Numbers with small base 60 subscripts at the end of each number.
- List of Base 60 Numbers without base 60 subscripts
- Counting from 0 to 4096, here is a list of Base 60 Numbers without the small base 60 subscripts at the end of each number.
- Conversion list for Base 60 and Decimal Numbers
- Counting from 0 to 4096, here is a list to convert between base 60 Numbers and their equivalent base 10 Decimal Numbers.
- List of Base 64 Numbers with base 64 subscripts
- Counting from 0 to 4096, here is a list of Base 64 Numbers with small base 64 subscripts at the end of each number.
- List of Base 64 Numbers without base 64 subscripts
- Counting from 0 to 4096, here is a list of Base 64 Numbers without the small base 64 subscripts at the end of each number.
- Conversion list for Base 64 and Decimal Numbers
- Counting from 0 to 4096, here is a list to convert between base 64 Numbers and their equivalent base 10 Decimal Numbers.