DATA STORAGE - NUMBER 1.2.4.a GCSE
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Show the table for binary conversion
128|64|32|16|8|4|2|1
What is it called when a binary number is larger than 8 bis (1 byte)
An overflow error
What is an overflow error
When the number of bits doesn’t fit in the space allowed
What should you do if an exam asks for an 8 bit and you have an overflow error
You should leave out the overflow error
How can you write an overflow
(1)10001001 (1) - the overflow
How does one double a binary number
shift the binary number 1 to the left E.g 1001 x2 = 10010
How does one divide a binary number
shift the binary number 1 to the right E.g 1100 / 2 = 110
How does one multiply a binary number by 3
shift to left once then add the original number to it E.g 1010 x3 = 1010 x2 = 10100 = 10100+1010 = 11110
What is Hexadecimal
a base 16 number system
What are the 16 possible digits in hexadecimal
0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F
What numbers does A B C D E F stand for in hexadecimal
A = 10 B = 11 C = 12 D = 13 E = 14 F = 15
What does the column headers mulitply by
16 256|16|1
How do you convert from Binary to Hexadecimal
Here is an example to explain 11100101 1110 0101 8+4+2 4+1 14 = E 5 E5 You can do the same for a Hexadecimal to Binary conversion just start from the bottom