Represent (+49)in sign and magnitude method,1's compliment and 2's compliment
Answers
Explanation:
1. Start with the positive version of the number:
|-49| = 49
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;
49 ÷ 2 = 24 + 1;
24 ÷ 2 = 12 + 0;
12 ÷ 2 = 6 + 0;
6 ÷ 2 = 3 + 0;
3 ÷ 2 = 1 + 1;
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.
49(10) = 11 0001(2)
4. Determine the signed binary number bit length:
The base 2 number's actual length, in bits: 6.
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, 6,
so that the first bit (leftmost) could be zero
(we deal with a positive number at this moment)
is: 8.
5. Positive binary computer representation on 8 bits:
If needed, add extra 0s in front (to the left) of the base 2 number, up to the required length, 8:
49(10) = 0011 0001
6. Get the negative integer number representation. Part 1:
To get the negative integer number representation on 8 bits,
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)
!(0011 0001) =
1100 1110
7. Get the negative integer number representation. Part 2:
To get the negative integer number representation on 8 bits,
signed binary two's complement,
add 1 to the number calculated above
1100 1110 + 1 =
1100 1111
Number -49, a signed integer, converted from decimal system (base 10) to a signed binary two's complement representation:
-49(10) = 1100 1111
Spaces used to group digits: for binary, by 4.
More operations of this kind:
-50 = ? | -48 = ?
Convert signed integer numbers from the decimal system (base ten) to signed binary two's complement representation
Signed integer:
-49
Convert to signed binary 2's complement
How to convert a base 10 signed integer number to signed binary in two's complement representation:
1) Divide the positive version of number repeatedly by 2, keeping track of each remainder, till getting a quotient that is equal to 0.
2) Construct the base 2 representation by taking the previously calculated remainders starting from the last remainder up to the first one, in that order.
3) Construct the positive binary computer representation so that the first bit is 0.
4) Only if the initial number is negative, switch all the bits from 0 to 1 and from 1 to 0 (reversing the digits).
5) Only if the initial number is negative, add 1 to the number at the previous point.
Latest signed integers converted from decimal system to binary two's complement representation
-49 to signed binary two's complement = ?
Jul 15 03:19 UTC (GMT)
1,050,746 to signed binary two's complement = ?
Jul 15 03:19 UTC (GMT)
1,101,100,102 to signed binary two's complement = ?
Jul 15 03:18 UTC (GMT)
2,587 to signed binary two's complement = ?
Jul 15 03:18 UTC (GMT)
703,112 to signed binary two's complement = ?
Jul 15 03:18 UTC (GMT)
-21 to signed binary two's complement = ?
Jul 15 03:18 UTC (GMT)
-8,534 to signed binary two's complement = ?
Jul 15 03:18 UTC (GMT)
1,279,963 to signed binary two's complement = ?
Jul 15 03:18 UTC (GMT)
-21 to signed binary two's complement = ?
Jul 15 03:18 UTC (GMT)
11,078 to signed binary two's complement = ?
Jul 15 03:17 UTC (GMT)
7,406 to signed binary two's complement = ?
Jul 15 03:17 UTC (GMT)
10,100,082 to signed binary two's complement = ?
Jul 15 03:17 UTC (GMT)
1,172,968,305 to signed binary two's complement = ?
Jul 15 03:17 UTC (GMT)
All decimal integer numbers converted to signed binary two's complement representation
How to convert signed integers from decimal system to signed binary in two's complement representation
Follow the steps below to convert a signed base 10 integer number to signed binary in two's complement representation:
1. If the number to be converted is negative, start with the positive version of the number.
2. Divide repeatedly by 2 the positive representation of the integer number, keeping track of each remainder, until we get a quotient that is zero.
3. Construct the base 2 representation of the positive number, by taking all the remainders starting from the bottom of the list constructed above. Thus, the last remainder of the divisions becomes the first symbol (the leftmost) of the base two number, while the first remainder becomes the last symbol (the rightmost).
4. Binary numbers represented in computer language must have 4, 8, 16, 32, 64, ... bit length (a power of 2) - if needed, add extra bits on 0 in front (to the left) of the base 2 number above, up to the required length, so that the first bit (the leftmost) will be 0, correctly representing a positive number.