ECE
ECE 1574 Week 2 Data Types.docx

# ECE 1574 Week 2 Data Types.docx - ECE1574 Problem Solving...

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ECE1574 – Problem Solving for Engineers With C++ Page 1 of 3 Week 2 – Lecture Notes Data Representation Computers store and execute instructions using binary representations for data and instructions. It is important for you to understand how computers store data. The smallest unit is a bit, represented by a binary number (0 or 1). Values of the bit, 1 or 0, may correspond to voltage levels. For example, “high” voltage may be interpreted as “1” and “low” voltage as “0”. In a 5-volt system, “high” voltage may be 3.5 to 5 V, and “low” voltage may be 0 to 1.5V. That way, there is no ambiguity in the value of the bit. Eight bits bundled together create a byte. 0 1 1 0 0 1 0 1 What is the largest number that can be represented in a byte? Each bit is weighted according to its position. LSB has 2 0 weight (or 1) (LSB = least significant bit, the bit with the smallest weight and rightmost position) Next bit to the left has 2 1 weight Next bit to the left has 2 2 weight . . . MSB has 2 7 weight (or 128) (MSB = most significant bit, the bit with the highest weight and leftmost position) If all bits have a value of 1, the number is 255. This is the largest number that can be stored with 8 bits.

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