In the first episode of Coding 101, we learn how to convert binary into decimal, then break it down into machine code.
Binary:
Binary is a base 2 system. With the total sum based on each binary value being either "on" or "off" (Which is why it's called "BINARY")
2-bit Binary Value
Each BIT can have 2 values - on or off - 1 or 0
Each Bit is worth the value of powers of 2, counting up from 0.
We count the values from right to left.
With two bits, that means the "first" bit can be worth either "1" (2(0)) or "0" while the second bit can be worth "2" (2(1)) or "0"
If we have a value of 00 = 0 :: 11 = 3 :: 10 = 2 :: 01 -1
If we have a n 8-bit value the maximum value will be (1+2+4+8+16+32+64+128) 255
Let's Break Down the process!
If I had a value like 10101010... what logic would I use to get to the DECIMAL value? (170)
I would create a "Total" Variable
I would look at each position, from left to right, giving each position a value of 0-7
If the value was "0" then I would skip to the next value.
If the value was "1", then I would raise 2 to the power of that position, then add that value to the "Total" Variable.
Once I have no more values to calculate, I would report my total.
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