Binary Lesson 10 – Binary Subtraction: Longhand

September 22, 2014

lesson10We can subtract one number from another in binary to obtain a binary difference. Numbers are subtracted in the same way as in decimal, though borrowing requires some explanation.

There is more than one way to perform binary subtraction, and in this lesson, we will focus on the longhand method in order to understand the process.
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Unable to Update Linux Due to Problem With MergeList Error

September 18, 2014

mergelistDuring a recent attempt to update Linux Mint and Xubuntu, I ran into an issue that I had never seen before.

Ubuntu Software System and Synaptic would both close immediately. No system updates or software installations or removals could be performed even though the system ran fine.

Attempting to update from the terminal also returned a wealth of errors that always reported a Problem with MergeList error.

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Binary Lesson 9 – Binary Addition

September 17, 2014

lesson09Just as we can perform arithmetic in decimal, we can also perform arithmetic in binary. We will see how to add two binary numbers together.

Though multiple numbers can be added, we will focus on two in order to demonstrate the concept.

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Binary Lesson 8 – Binary Fractions

September 10, 2014

lesson08We can express fractional values in binary just as we can in decimal. A radix point separates the whole number portion from the fractional portion in binary just as a decimal point separates the whole number portion from the fractional portion in decimal.

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Binary Lesson 7 – Bits and Bytes

September 5, 2014

lesson07Each binary digit is called a bit. In the number 11000000b, each 1 is a bit, and each 0 is a bit. The number of bits present is what is referred to when we say things like “8-bit,” “16-bit,” or “64-bit.”

A bit is a binary digit that represents a value. This works well for computers and digital devices because the bits 0 and 1 can represent the states on and off, which corresponds to the on or off flow of electrical current through the computer’s hardware.

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Binary Lesson 6 – Notating Base

September 4, 2014

lesson06If we see the numbers,

  • 100
  • 100
  • 100

how do we know which is decimal, which is binary, and which is hexadecimal? All three numbers look alike because they use the same digits, 0 and 1, but all three represent different values in different number systems. Surely, there must be a way to avoid ambiguity, right?

Indeed there is.

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Binary Lesson 5 – Hexadecimal

September 3, 2014
lesson05Computers love strings of bits, such as 10001001 01100111 10101110, but they can be difficult for humans to read and write accurately.

To facilitate readability and conserve space when viewed in a monitor or in print, we use the hexadecimal (base 16) system as a shorthand to represent binary.

 

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