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Electronics_and_Hardware/Binary/Binary_units_of_measurement.md
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@ -3,22 +3,22 @@ title: Binary units of measurement
categories:
- Computer Architecture
- Mathematics
tags: [bits, binary]
tags: [binary]
---
# Binary units of measurement
A single place or symbol in a decimal number is called a **digit**. For example the number 343 is a number containing three digits. A digit can be any numeral through 0-9.
A single place or symbol in a decimal number is called a **digit**. For example the number 343 is a number containing three digits. A digit can be any one of the ten numerals through 0-9.
The equivalent entity in the [binary number system](/Electronics_and_Hardware/Binary/Binary_number_system.md) is the **bit**. For example the binary number 110 has three bits. A bit can only have one of two values in contrast to a digit which can have one of ten values: 0 or 1.
The equivalent entity in the [binary number system](/Electronics_and_Hardware/Binary/Binary_number_system.md) is the **bit**. For example the binary number 110 has three bits. A bit can only have one of two values in contrast to a digit which can have one of ten values. These values are 0 and 1.
## Sequences of bits
### Informational complexity
The informational complexity of digit is much larger than a bit: it can represent one of 10 states whereas a bit can only represent one of two states.
The informational complexity of a single digit is much larger than a single bit: it can represent one of 10 states whereas a bit can only represent one of two states.
We can think of how much data can be stored in a number in terms of the total number of unique arrangemnets of bits or digits. With this in mind, compare a two digit digital number to a two bit binary number. For the decimal number each digit can represent one of ten states, hence the total number of unique states is equal to $2^{10} (1024)$:
We can think of how much data can be stored in a number in terms of the total number of unique arrangements of bits or digits. With this in mind, compare a two digit digital number to a two bit binary number. For the decimal number each digit can represent one of ten states, hence the total number of unique states is equal to $2^{10} (1024)$:
With the binary number we have $2^{2} (4)$, giving us far fewer possible unique states. They are so few we can easily list them:

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_scripts/random_revision_topic.sh
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@ -3,7 +3,7 @@
# This script returns a random topic for me to revise
# Choose source directories...
DIRS_TO_PARSE="../Algorithms ../Computer_Architecture ../Databases"
DIRS_TO_PARSE="../Computer_Architecture ../Electronics_and_Hardware ../Operating_Systems ../Programming_Languages/Shell "
# Return array of all files belonging to source dirs...
for ele in $DIRS_TO_PARSE; do