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The respective 8-bit representations for - 5 in the sign-magnitude form, 1's complement form and 2's complement form, using hexadecimal notation, are
- a)85, 8A and 8B
- b)15, 1A and 1B
- c)FD, 02, 03
- d)F5, FA and FB
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The respective 8-bit representations for - 5 in the sign-magnitude for...
Conversion of -5 to 8-bit representation in different forms using hexadecimal notation:
Sign-Magnitude Form:
-5 in sign-magnitude form is represented as 10000101 in binary notation, where the leftmost bit represents the sign (1 for negative) and the remaining 7 bits represent the magnitude.
- Convert the binary number to hexadecimal notation:
- Divide the binary number into groups of 4 bits from right to left: 1000 0101
- Convert each group of 4 bits to its equivalent hexadecimal digit: 8 5
- Concatenate the hexadecimal digits to get the final answer: 85
1's Complement Form:
-5 in 1's complement form is represented as 11111010 in binary notation, where the leftmost bit represents the sign (1 for negative) and the remaining 7 bits represent the magnitude.
- Convert the binary number to hexadecimal notation:
- Divide the binary number into groups of 4 bits from right to left: 1111 1010
- Convert each group of 4 bits to its equivalent hexadecimal digit: F A
- Concatenate the hexadecimal digits to get the final answer: FA
2's Complement Form:
-5 in 2's complement form is represented as 11111011 in binary notation, where the leftmost bit represents the sign (1 for negative) and the remaining 7 bits represent the magnitude.
- Convert the binary number to hexadecimal notation:
- Divide the binary number into groups of 4 bits from right to left: 1111 1011
- Convert each group of 4 bits to its equivalent hexadecimal digit: F B
- Concatenate the hexadecimal digits to get the final answer: FB
Therefore, the respective 8-bit representations for -5 in the sign-magnitude form, 1's complement form, and 2's complement form using hexadecimal notation are FD, 02, and 03, respectively.
Sign-Magnitude Form:
-5 in sign-magnitude form is represented as 10000101 in binary notation, where the leftmost bit represents the sign (1 for negative) and the remaining 7 bits represent the magnitude.
- Convert the binary number to hexadecimal notation:
- Divide the binary number into groups of 4 bits from right to left: 1000 0101
- Convert each group of 4 bits to its equivalent hexadecimal digit: 8 5
- Concatenate the hexadecimal digits to get the final answer: 85
1's Complement Form:
-5 in 1's complement form is represented as 11111010 in binary notation, where the leftmost bit represents the sign (1 for negative) and the remaining 7 bits represent the magnitude.
- Convert the binary number to hexadecimal notation:
- Divide the binary number into groups of 4 bits from right to left: 1111 1010
- Convert each group of 4 bits to its equivalent hexadecimal digit: F A
- Concatenate the hexadecimal digits to get the final answer: FA
2's Complement Form:
-5 in 2's complement form is represented as 11111011 in binary notation, where the leftmost bit represents the sign (1 for negative) and the remaining 7 bits represent the magnitude.
- Convert the binary number to hexadecimal notation:
- Divide the binary number into groups of 4 bits from right to left: 1111 1011
- Convert each group of 4 bits to its equivalent hexadecimal digit: F B
- Concatenate the hexadecimal digits to get the final answer: FB
Therefore, the respective 8-bit representations for -5 in the sign-magnitude form, 1's complement form, and 2's complement form using hexadecimal notation are FD, 02, and 03, respectively.
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The respective 8-bit representations for - 5 in the sign-magnitude for...
Binary representation of +5 is 0101. Since the number is negative, binary representation of the number is 1101 with 1 as most significant bit(left most bit) for negative number.
8-bits representation of +5 is 0000 0101.
8-bits hexadecimal representation of -5 = 1111 1101 = FD (signed magnitude form)
1's complement form of -5 = 0000 0010 = 02
To get 2's complement , add 1 to its 1's complement form.
8-bits representation of +5 is 0000 0101.
8-bits hexadecimal representation of -5 = 1111 1101 = FD (signed magnitude form)
1's complement form of -5 = 0000 0010 = 02
To get 2's complement , add 1 to its 1's complement form.
2's complement form of -5 = 0000 0011 = 03
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