use binary addition

Question

1)13base10+2base10

Answer 1

13base10 = 1101base2
2base10 = 0010base2

1101
+ 0010
------
1111base2

Therefore, 13base10 + 2base10 = 15base10 or 1111base2.

Answer 2

state one use of hexadecimal notation a computer

Answer 3

One use of hexadecimal notation in a computer is to represent memory addresses. Memory addresses are typically expressed in hexadecimal notation because it allows programmers to represent them in a shorter form that is easier to read and write than binary. Additionally, hexadecimal notation maps nicely to the byte-addressable memory architecture used in modern computers, making it a natural choice for computer memory addressing.

Answer 4

use ones compliment the solve the following
1)9-6
2)17-15
3)1110-1011
4)111010-110011

Answer 5

To use ones' complement to solve the following problems, we first need to convert the numbers to binary and then take the ones' complement of the subtrahend.

1) 9 - 6

9base10 = 1001base2
6base10 = 0110base2

To get the ones' complement of the subtrahend (6), we invert all the bits:

0110 -> 1001

Now we can perform the subtraction:

1001
+ 1001
-------
0010

Since the result is positive (the leftmost bit is a 0), the answer is 0010base2 which is 2base10.

2) 17 - 15

17base10 = 0001 0001base2
15base10 = 0000 1111base2

The ones' complement of 15 is:

0000 1111 -> 1111 0000

Now we can perform the subtraction:

0001 0001
+ 1111 0000
----------
0000 0001

Since the result is positive, the answer is 0001base2 which is 1base10.

3) 1110 - 1011

1110base2 = 14base10
1011base2 = 11base10

The ones' complement of 1011 is:

1011 -> 0100

Now we can perform the subtraction:

1110
+ 0100
-------
0010

Since the result is positive, the answer is 0010base2 which is 2base10.

4) 111010 - 110011

111010base2 = 58base10
110011base2 = 51base10

The ones' complement of 110011 is:

110011 -> 001100

Now we can perform the subtraction:

111010
+ 001100
--------
100111

Since the result is negative (the leftmost bit is a 1), we take the ones' complement of the result to get the answer:

100111 -> 011000

Since the leftmost bit of the ones' complement is 0, the answer is positive, so the answer is 011000base2 which is 24base10.