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2.6 Base Conversions (Denary to Binary (Step 2- Write out the binary…
2.6 Base Conversions
Denary
0,1,2,3,4,5,6,7,8,9
Base 10
Binary
Base 2
0,1
Denary to Binary
Step 2- Write out the binary numbers
Step 3 - Write out the denary values
Step 1 - Write out the bit values
Step 4- Add them all together
Addition & Overflow
Normal addition...just with 1s and 0s
1+1 can not equal 2 --- 1+! = 10 carry the 1 and use the 0
1+1+1 can not equal 3! --- 1+1+1=11 carry the 1 and use 1
Start from Least Significant Bit (LSB)
LSB is the bit on the far right
Overflow
largest number we can store is 8 bits = 255 = 11111111
what happens if we add 255 to a number greater than or equal to 1
there is a flaw to adding binary
we get an overflow error... a number too big to be represented with just 8 bits
Hexadecimal
base 16
C3 to Denary
Write out place values
16 1
C 3
12 3
12*16 = 192
3*1 =3
195