Convert the hexadecimal value 'C3' into its binary equivalent.

To preform this conversion, we focus on each value individually, as they each represent a different 4-bit binary number. The binary system is of base 2, meaning the base is multiplied by 2 reading right to left. For example it reads as 128, 64, 32, 16, 8, 4, 2, 1. each number representing a single bit either 1 or 0. For C3, we first focus on  the value 3 and write out the first four base 2 columns; 8 4 2 1 and put a 1 in the columns which add up to 3, and a 0 in the rest. This will read as 0011.

In computer systems, hexadecimal values are used to allow us to store and represent larger numbers and begin with the number 10 which is represented by A, 11 = B, 12 = C, 13 = D 14 = E and 15 = F. To represent C, again write out the first four base 2 columns 8 4 2 1. C stores the number 12, which in binary is represented by 1100. We now have two 4-bit binary numbers, which when put together form our completed 8-bit binary number 11000011 which represents the hexidecimal value C3. 

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Answered by Cormac K. Computing tutor

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