Binary

Question 1

what is the other name for binary

Answer 1

base 2

Question 2

what order is biaey in

Answer 2

it moves from left to right and starts at 1 which is multiplied by 2 each time
in each column we can use digits from 0 to 1.
you should only count the column that has a 1 underneath it

Question 3

how do you convert from binary to denary

Answer 3

you use the subtraction method

Question 4

how do you do the subtraction method

Answer 4

write your column headings start from the left.
if you can deduct a column value from your denary number, put a 1 in the binary row, then write the number you have remaining below
if you can’t deduct the value, just write a 0 in the binary row.
5 is 0101

Question 5

0+0=

Answer 5

0

Question 6

1+0=

Answer 6

1

Question 7

1+1=

Answer 7

10(which is 2 in binary)

Question 8

how to do addition in binary

Answer 8

add the numbers up column by column, starting on the right

remember that only a single bit can be in each box, so extra bits have to be carried to the next column

Question 9

how do you show negative numbers in biary

Answer 9

you need to understand what the ‘most significant bit’ is
the MSB is the bit on the far left of the binary number you are showing.
using 8 bits the MSB is 128
this means in Twos complement, that the column would represent -128. we can now show negative numbers

Question 10

how to convert a negative denary number to binary is…

Answer 10

1. work out the positive version of the denary number
2. starting from the left, flip all the bits so 1’s become 0’s and 0’s become 1’s
3. keep doing this until you reach the smallest 1. leave this as 1 and any remaining 0’s as they are
4. check it is correct by converting it back to denary