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Keywords 🗝️
binary, decimal, bit, place value.
Summary 📝
Computers store and process numbers using binary, which is a number system based on just two digits: 0 and 1.
When converting from decimal (base 10) to binary (base 2), we use place values that double each time from right to left: 1, 2, 4, 8, 16, 32, 64, and 128 for 8-bit binary. To convert a decimal number to binary, we check which of these values fit into the number, starting from the largest.
Each time one fits, we place a 1 in that position, and subtract that value from the decimal number.
The rest are filled with 0s. To convert from binary to decimal, we add up all the values where there is a 1. Using 8-bit binary means we can represent any number from 0 to 255. Understanding this process is essential for working with data in computing.
Key learning Points 📌
Binary is base 2 and only uses digits 0 and 1.
8-bit binary means there are 8 binary digits (bits).
Each bit represents a value from the binary place value table: 128 to 1.
To convert decimal to binary, subtract the largest binary place values.
To convert binary to decimal, add up the values with a 1 in their place.