Microsoft Office Tutorials and References
In Depth Information
Chapter 20: Some Really Cool Functions
In other words, in base 10 you count up through ten digits in one position
before moving one position to the left for the next significant digit. And then
the first position cycles back to the beginning digit. To make it simple, you
count 0 to 9, and then add a 1 to the next significant digit, and start the first
position over at 0, and therefore 10 comes after 9.
Binary, octal, and hexadecimal each count up to a different digit before
incrementing the next significant digit. Binary only has two values — 0 and 1.
That’s why when any larger base number, such as a base 10 number, is
converted to binary, there are more actual digit places. Look at what happens to
the number 20. In base 10, 20 is represented in 2 digits. In binary, 20 is
represented in 5 digits.
Octal, based on powers of 8, counts up to 8 digits — 0 through 7. The digits 8
and 9 are never used in octal. Hexadecimal, based on powers of 16, counts
up to 16 digits, but how? What is left after 9? The letters of the alphabet,
that’s what!
Hexadecimal uses these digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. The
letters A through F represent the decimal values 10 through 15, respectively.
If you have ever worked on the colors for a website, you might know that
FFFFFF is all white. The web server recognizes colors represented in
hexadecimal notation and responds appropriately.
The number 200 in decimal notation becomes C8 in hexadecimal notation.
The number 99 in decimal notation becomes 63 in hexadecimal notation.
The point to all this is that there are a group of functions to do all these
conversions. These functions take into account all combinations of conversion
between binary, octal, decimal, and hexadecimal. These functions are
Function
What It Does
Converts binary to decimal
BIN2DEC
BIN2HEX
Converts binary to hexadecimal
BIN2OCT
Converts binary to octal
DEC2BIN
Converts decimal to binary
DEC2HEX
Converts decimal to hexadecimal
Converts decimal to octal
DEC2OCT
Converts hexadecimal to binary
HEX2BIN
Converts hexadecimal to decimal
HEX2DEC
Converts hexadecimal to octal
HEX2OCT
OCT2BIN
Converts octal to binary
OCT2DEC
Converts octal to decimal
OCT2HEX
Converts octal to hexadecimal
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