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--- notes:cprog:fall2022:projects:dtr0 [2022/09/05 21:00] – [DATA TYPES IN C] mreid3
+++ notes:cprog:fall2022:projects:dtr0 [2022/09/08 02:44] (current) – [DATA TYPES IN C] rspringe
@@ Line 3: / Line 3: @@
 ====BINARY NUMBERS====
+Also known as the "Base 2" number system, binary is the lowest level of machine language and the language that computers use to receive, perform, and send instructions.
+===Digits and Counting===
+Since binary is "Base 2", it only uses two digits to represent its numbers: 0 and 1.
+Counting in binary works the same way as it does in decimal (Base 10), or any other number system: each spot, or "place" in a binary number starts at 0, then counts up to 1. Since this is Base 2, each place can not go higher than 1, so if we were to count up again, this digit would carry over to the next place, and start again at 0.
+For example: 1001 + 1 = 1010
+This is just like decimal, where a number starts at 0, then counts up to 9, if we try to count up after that, the number carries over to the Tens place, and restarts at 0:
++ 1 = 110
+**NOTE:** Just because a binary number uses similar digits to decimal and looks similar to decimal, it does not mean that a binary number can just be read as a decimal number.
+To put it another way:
+<sub>2</sub> != 1010<sub>10</sub>
+Since decimal is "Base 10", each place in a number is a power of ten, 10<sup>0</sup>, 10<sup>1</sup>, and so on. We know these as the "Ones" place, the "Tens" place, the "Hundreds" place, etc.
+The same is true for binary, but since it is Base 2, each place is a power of 2: 2<sup>0</sup>, 2<sup>1</sup>, 2<sup>2</sup>, and so on.
+===Use in Computing===
+Binary is important because it is the number system and language that computers use to communicate. Any set of instructions sent to a computer will consist of only 1's and 0's.
+Although binary is what computers use to communicate, it is much more difficult for humans to use binary to try and perform calculations or write code.
+As stated above, each place in a binary number can only be a 1 or 0, which means each place is a power of 2. So a decimal number like 257 would be 100000001 in binary, as we can see, numbers can get very big, very fast.
+With a number system where even simple numbers and code can become a massive amount of 1's and 0's, it is very difficult to perform calculations on these numbers without making a mistake. So, programmers have used higher base numbering systems to shorten these numbers down immensely. These numbering systems are also powers of 2, in order to cleanly split binary numbers into smaller segments, such as octal (Base 8), or hexadecimal (Base 16).
 ====HEXADECIMAL NUMBERS====
 =====DATA TYPES IN C=====
-Basic Types
+===Basic Types===
 They are arithmetic types and are further classified into: (a) integer types and (b) floating-point types.
-====================================================================================================================
+---------------------------------------------------------------------------------------------------------------------
-Enumerated types
+===Enumerated Types===
 They are again arithmetic types and they are used to define variables that can only assign certain discrete integer values throughout the program.
-====================================================================================================================
+---------------------------------------------------------------------------------------------------------------------
-The type void
+===The "void" Type===
-The type specifier void indicates that no value is available.
+The type specifier "void" indicates that no value is available.
-====================================================================================================================
+---------------------------------------------------------------------------------------------------------------------
-Derived types
+===Derived Types===
 They include (a) Pointer types, (b) Array types, (c) Structure types, (d) Union types and (e) Function types.

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