the complement of 260 degree is
Answers
1. Start with the positive version of the number:
|-260| = 260
2. Divide the number repeatedly by 2:
Keep track of each remainder.
We stop when we get a quotient that is equal to zero.
division = quotient + remainder;
260 ÷ 2 = 130 + 0;
130 ÷ 2 = 65 + 0;
65 ÷ 2 = 32 + 1;
32 ÷ 2 = 16 + 0;
16 ÷ 2 = 8 + 0;
8 ÷ 2 = 4 + 0;
4 ÷ 2 = 2 + 0;
2 ÷ 2 = 1 + 0;
1 ÷ 2 = 0 + 1;
3. Construct the base 2 representation of the positive number:
Take all the remainders starting from the bottom of the list constructed above.
260(10) = 1 0000 0100(2)
4. Determine the signed binary number bit length:
The base 2 number's actual length, in bits: 9.
A signed binary's bit length must be equal to a power of 2, as of:
21 = 2; 22 = 4; 23 = 8; 24 = 16; 25 = 32; 26 = 64; ...
First bit (the leftmost) indicates the sign,
1 = negative, 0 = positive.
The least number that is:
a power of 2
and is larger than the actual length, 9,
so that the first bit (leftmost) could be zero
(we deal with a positive number at this moment)
is: 16.
5. Positive binary computer representation on 16 bits (2 Bytes):
If needed, add extra 0s in front (to the left) of the base 2 number, up to the required length, 16:
260(10) = 0000 0001 0000 0100
6. Get the negative integer number representation. Part 1:
To get the negative integer number representation on 16 bits (2 Bytes),
signed binary one's complement,
replace all the bits on 0 with 1s
and all the bits set on 1 with 0s
(reverse the digits, flip the digits)
! (0000 0001 0000 0100) =
1111 1110 1111 1011
7. Get the negative integer number representation. Part 2:
To get the negative integer number representation on 16 bits (2 Bytes),
signed binary two's complement,
add 1 to the number calculated above
1111 1110 1111 1011 + 1 =
1111 1110 1111 1100
Number -260, a signed integer, converted from decimal system (base 10) to a signed binary two's complement representation:
-260(10) = 1111 1110 1111 1100
Answer:
-170
Step-by-step explanation:
the sum of complement is 90
is first part is 260 degree
so, 2nd part is 90-260
= -170