Q: What is binary of -37 using sign and magnitude representation?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

signed magnitude

Sign . . . negative Magnitude . . . 33

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

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.)

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

Related questions

boob

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.

signed magnitude

assigning discrete integer values to PAM sample inputs Encoding the sign and magnitude of a quantization interval as binary digits

Sign . . . negative Magnitude . . . 33

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

The magnitude of a real number is its value without regard to its sign.

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.)

neg, neg, less APEX :)

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. The Gibbs free energy equation is ΔG = ΔH - TΔS. negative; negative; less

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

Just remove the minus sign (if there is one), and what remains is the magnitude.