Why is it important to understand the binary number system when dealing with computers?
How many digits are in the binary number system?
What two binary values are normally understood as "True" and "False"?
What is a bit? What is a byte?
When thinking about kilobytes, megabytes, and larger sizes, what multiplier is used to increase from one stage to the next?
What are two common ways to identify binary numbers?
Why are binary numbers a form of abstraction?
Does one sequence of binary digits always mean the same thing to all applications?
How do you count in binary?
What is the process of converting from binary to decimal?
As a shortcut to converting 4 binary digits to decimal, what 4 decimal weights should you memorize?
What is the process of converting from decimal to binary?
1. It is important to understand the binary number system when dealing with computers because computers use binary code to represent and process data. All data and instructions in a computer are ultimately represented by strings of binary digits.
2. The binary number system consists of 2 digits, 0 and 1.
3. In binary, the values 0 and 1 are commonly understood as "False" and "True," respectively.
4. A bit is the smallest unit of data in a computer and can have a value of either 0 or 1. A byte consists of 8 bits.
5. When dealing with sizes in computing (like kilobytes, megabytes, etc.), the multiplier used to increase from one stage to the next is 1024 (2^10).
6. Two common ways to identify binary numbers are using the prefix "0b" before the number (e.g., 0b1010) or by using subscript notation with a base of 2 (e.g., 1010₂).
7. Binary numbers are a form of abstraction because they provide a simplified way to represent complex data and instructions in a computer.
8. One sequence of binary digits may not always mean the same thing to all applications. The interpretation of binary data depends on the context and how it is being used by a specific program or system.
9. To count in binary, start from 0 and increment the digits like you would in decimal, but with only two values (0 and 1). For example, counting in binary from 0 to 10 would be 0, 1, 10.
10. The process of converting from binary to decimal involves multiplying each bit by 2 raised to the power of its position from right to left, starting with 0.
11. As a shortcut to converting 4 binary digits to decimal, you can memorize the decimal weights 8, 4, 2, and 1.
12. The process of converting from decimal to binary involves dividing the decimal number by 2 and keeping track of the remainders, which represent the binary digits reading from bottom to top.