Math, asked by rekhamk12415, 5 hours ago

the complement of 260 degree is​

Answers

Answered by singhajaypratap071
0

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

Answered by rajeevkumar3232
0

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

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