need someone to dumb down converting, adding and subtracting binary and hexadecimal numbers?

Question

i need to know the easiest way to do this. i cannot use a calculator and i have a test next week. please only serious replies from people who can explain it as simply as possible.

Answer 1

following the below chart breaks down to:

Bit Position 7 6 5 4 3 2 1 0
1 1 1 1 1 1 1 1
Decimal 128 64 32 16 8 4 2 1

Answer 2

Adding and subtracting binary numbers is easy, because the addition table is simple: 0 + 1 = 1, 1 + 1 = 10, 0 + 0 = 0. You carry the one when you add 1 + 1, so

.. 1 0 1 1 1
.. 0 1 0 1 1
__________
1 0 0 0 1 0

The easy way to add, subract hexadecimal numbers is to convert them to binary first. Each hexadecimal digit represents four binary digits:

0 = 0000
1 = 0001
2 = 0010
3 = 0011
4 = 0100
5 = 0101
6 = 0110
7 = 0111
8 = 1000
9 = 1001
A = 1010
B = 1011
C = 1100
D = 1101
E = 1110
F = 1111

Just remember the position values of the numbers; the far right value is 1, the next one to the left is 2, the next 4 and the far left 8.
Add in the value of a place wherever a "1" appears.

So to convert from hex to binary, put the 4-digit binary equivelent in for each hex digit value, for example:

1 A 9 F (hex) = 0001 1010 1001 1111 or 0001101010011111

Then do your addition/subtraction in binary and convert back to hex. Let's add B0A2 to the above number

B0A2 = 1011 0000 1010 0010
1A9F = 0001 1010 1001 1111
sum is 1100 1011 1010 0001
or C B A 1

To convert a binary number to hex, separate the binary digits into groups of four starting at the right side. Fill in the last group with leading zeros if necessary. Take each group of four and substitute its hex equivalent.

Answer 3

develop your own calculator call a "pencil calculator" set up your decimal set numbers for cross reference....it should be in the parameters of adding first...