0
In sign and magnitude representation, the first bit is used for the sign (0 for positive and 1 for negative). The magnitude of 37 in binary is 100101. To represent -37, we set the sign bit to 1, resulting in 1 100101. Thus, the binary representation of -37 in sign and magnitude is 1100101.
What else can I help you with?
What number representation has the sign as the high order bit and the remaining bits represent the absolute value of the numeric value?
signed magnitude
What is -33 sign and magnitude?
Sign . . . negative Magnitude . . . 33
How do you refer rational numbers to binary?
Rational numbers can be represented in binary by converting both the numerator and denominator of the fraction to binary format. For example, the rational number 3/4 would be converted to binary as 11/100. Additionally, if the rational number is not a simple fraction, it can be expressed as a binary floating-point number using a format like IEEE 754, which encodes the sign, exponent, and mantissa of the number. This allows for precise representation of rational numbers in a binary system.
What would be stored using IEEE-754 single precision for the floating point 12.5?
In IEEE-754 single precision, the floating point number 12.5 is represented using 32 bits. It consists of one sign bit, an 8-bit exponent, and a 23-bit fraction (or mantissa). For 12.5, the sign bit is 0 (positive), the exponent is 10000010 (which is 130 in decimal, representing an exponent of 3), and the mantissa is 01010000000000000000000, derived from the binary representation of 12.5 (which is 1100.1 in binary, normalized to 1.1001 x 2^3). Thus, the final binary representation in IEEE-754 format is 0 10000010 01010000000000000000000.
Twos complement of a given 3 or more bit binary number of non-zero magnitude is the same the original number if all bits except the?
ANSWER: MSB IS 1 In the 2's complement representation, the 2's complement of a binary number is obtained by first finding the one's complement (flipping all the bits), and then adding 1 to the result. This representation is commonly used to represent signed integers in binary form. Now, if all bits except the sign bit are the same, taking the 2's complement of the binary number will result in the negative of the original number. The sign bit (the leftmost bit) is flipped, changing the sign of the entire number. For example, let's take the 4-bit binary number 1101 The 2's complement would be obtained as follows: Find the one's complement: 0010 Add 1 to the one's complement: 0011
What are the advantages and disadvantages of using sign magnitude number representation?
boob
What are the disadvantages of sign magnitude?
One disadvantage of sign-magnitude representation is that it has two representations for zero (positive zero and negative zero), which can lead to confusion in arithmetic operations. Additionally, sign-magnitude representation is not suitable for comparison operations, as it requires additional steps to check for equality because of the separate sign bit.
What is the main limitation of sign magnitude representation?
One of the bit patterns is wasted. Addition doesn't work the way we want it to. Remember we wanted to have negative binary numbers so we could use our binary addition algorithm to simulate binary subtraction. How does signed magnitude fare with addition? To test it, let's try subtracting 2 from 5 by adding 5 and -2. A positive 5 would be represented with the bit pattern '0101B' and -2 with '1010B'. Let's add these two numbers and see what the result is: 0101 0010 ----- 0111 Now we interpret the result as a signed magnitude number. The sign is '0' (non-negative) and the magnitude is '7'. So the answer is a postive 7. But, wait a minute, 5-2=3! This obviously didn't work. Conclusion: signed magnitude doesn't work with regular binary addition algorithms.
What number representation has the sign as the high order bit and the remaining bits represent the absolute value of the numeric value?
signed magnitude
What does quantization involve?
assigning discrete integer values to PAM sample inputs Encoding the sign and magnitude of a quantization interval as binary digits
What is -33 sign and magnitude?
Sign . . . negative Magnitude . . . 33
How do you refer rational numbers to binary?
Rational numbers can be represented in binary by converting both the numerator and denominator of the fraction to binary format. For example, the rational number 3/4 would be converted to binary as 11/100. Additionally, if the rational number is not a simple fraction, it can be expressed as a binary floating-point number using a format like IEEE 754, which encodes the sign, exponent, and mantissa of the number. This allows for precise representation of rational numbers in a binary system.
Twos complement of a given 3 or more bit binary number of non-zero magnitude is the same the original number if all bits except the?
ANSWER: MSB IS 1 In the 2's complement representation, the 2's complement of a binary number is obtained by first finding the one's complement (flipping all the bits), and then adding 1 to the result. This representation is commonly used to represent signed integers in binary form. Now, if all bits except the sign bit are the same, taking the 2's complement of the binary number will result in the negative of the original number. The sign bit (the leftmost bit) is flipped, changing the sign of the entire number. For example, let's take the 4-bit binary number 1101 The 2's complement would be obtained as follows: Find the one's complement: 0010 Add 1 to the one's complement: 0011
What is the magnitude of a real number without regard to it sign?
The magnitude of a real number is its value without regard to its sign.
What are the rules for adding a positive and negative integer?
The magnitude of the sum is the difference between the magnitudes of the two numbers. The sign of the sum is the sign of the number with the larger magnitude. (The "magnitude" of a number is just the size of the number without any sign.)
If the sign of ΔH is and the sign of ΔS is then the magnitude of TΔS must be than the magnitude of ΔH for the reaction to be spontaneous?
neg, neg, less APEX :)
What is the absolute value of -7.61?
Absolute value of any number is just the magnitude without any sign attached to it. For positive numbers the magnitude is the value of the number. For negative numbers just remove the negative sign and you will have the magnitude. In this case the magnitude is 7.61
