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Question: • Exercises (15 points) • 201910 = ?, (1 point) • The following arithmetic operation is correct in at least one number system. Find out the radices of the numbers in each operation. Explain why. (2 points) a) 41/3 = 13 b) 23 +44 +14+32 = 223 If there is an unsigned 3-digit number system with a radix value of 4. (2 points) a) Use unsigned decimal values to show the range of the number system. b) What’s the 3’s complement of 234 in the system? • Representing signed numbers using 8-digit binary numbers. (5 points) a) What’s the range if using signed-magnitude representation? b) What’s the range if using two’s complement representation? c) Fill in the table below and explain how each answer is calculated. Decimal +25 0111 1000 Signed magnitude Two’s complement 1101 0110 2590 + 34210 = ? BCD (3 points) Find the Gray Code of 156 (1 point) • Calculate the odd parity bit of the binary string “101011”. (1 point)– Free Chegg Question Answer

Transcribed text From Image: • Exercises (15 points) • 201910 = ?, (1 point) • The following arithmetic operation is correct in at least one number system. Find out the radices of the numbers in each operation. Explain why. (2 points) a) 41/3 = 13 b) 23 +44 +14+32 = 223 If there is an unsigned 3-digit number system with a radix value of 4. (2 points) a) Use unsigned decimal values to show the range of the number system. b) What's the 3's complement of 234 in the system? • Representing signed numbers using 8-digit binary numbers. (5 points) a) What's the range if using signed-magnitude representation? b) What's the range if using two's complement representation? c) Fill in the table below and explain how each answer is calculated. Decimal +25 0111 1000 Signed magnitude Two's complement 1101 0110 2590 + 34210 = ? BCD (3 points) Find the Gray Code of 156 (1 point) • Calculate the odd parity bit of the binary string "101011". (1 point)

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One Comment

  1. Anonymous says:

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    my comment didn’t show up. Grrrr… well I’m not writing all that over again. Anyways, just wanted to say excellent blog!

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