Sign-magnitude representation is a method of representing both positive and negative integers in binary. The leftmost bit is used to represent the sign (0 for positive, 1 for negative), and the remaining bits are used to represent the magnitude of the number.

Here are the steps to represent -15 in sign-magnitude representation using a width of 6 bits:

1. Identify the sign of the number. Since -15 is negative, the sign bit will be 1.

2. Find the magnitude of the number. The magnitude of -15 is 15.

3. Convert the magnitude to binary. The binary representation of 15 is 1111.

4. Since we are using a width of 6 bits, we need to pad the binary representation of the magnitude with leading zeros until it is 5 bits long. So, 15 becomes 01111.

5. Combine the sign bit and the magnitude. The sign bit is 1 (for negative) and the magnitude is 01111. So, -15 in sign-magnitude representation using a width of 6 bits is 101111.

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Sign-magnitude representation is a method of representing both positive and negative integers in binary. The leftmost bit is used to represent the sign (0 for positive, 1 for negative), and the remaining bits are used to represent the magnitude of the number.

Here are the steps to represent -15 in sign-magnitude representation using a width of 6 bits:

1. Identify the sign of the number. Since -15 is negative, the sign bit will be 1.

2. Find the magnitude of the number. The magnitude of -15 is 15.

3. Convert the magnitude to binary. The binary representation of 15 is 1111.

4. Since we are using a width of 6 bits, we need to pad the binary representation of the magnitude with leading zeros until it is 5 bits long. So, 15 becomes 01111.

5. Combine the sign bit and the magnitude. The sign bit is 1 (for negative) and the magnitude is 01111. So, -15 in sign-magnitude representation using a width of 6 bits is 101111.

Knowee AI · Accepted Answer

Sign-magnitude representation is a method of representing both positive and negative integers in binary. The leftmost bit is used to represent the sign (0 for positive, 1 for negative), and the remaining bits are used to represent the magnitude of the number.

Here are the steps to represent -15 in sign-magnitude representation using a width of 6 bits:

1. Identify the sign of the number. Since -15 is negative, the sign bit will be 1.

2. Find the magnitude of the number. The magnitude of -15 is 15.

3. Convert the magnitude to binary. The binary representation of 15 is 1111.

4. Since we are using a width of 6 bits, we need to pad the binary representation of the magnitude with leading zeros until it is 5 bits long. So, 15 becomes 01111.

5. Combine the sign bit and the magnitude. The sign bit is 1 (for negative) and the magnitude is 01111. So, -15 in sign-magnitude representation using a width of 6 bits is 101111.

What is -15 in sign-magnitude representation, using a width of 6 bits?

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