1. Briefly explain sign magnitude and two's complement representation. 2. What is the sign of 10010001,? How you determine the sign of this number? 3. Representing the following decimal numbers in both binary sign magnitude and two's complement using 8 bits (a) +106 (b) -30

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
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Chapter3: Data Representation
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1. Briefly explain sign magnitude and two's complement representation.
2. What is the sign of 10010001,? How you determine the sign of this number?
3. Representing the following decimal numbers in both binary sign magnitude and two's complement using 8 bits
(a) +106
(b) -30
4. Assume numbers are represented in 8-bits two's complement representation. Show the calculation of the following and then
verify your answer by showing the answer in signed decimal value.
a. 4 -5
b. 70 -
-80
C. 40 -20.
d. 50 -120
5. Assuming that an 8-bits two's complement representation is used, perform the binary subtraction operation for the following
decimal numbers:
30-15
Then verify your answer by showing the answer in signed decimal value
Transcribed Image Text:1. Briefly explain sign magnitude and two's complement representation. 2. What is the sign of 10010001,? How you determine the sign of this number? 3. Representing the following decimal numbers in both binary sign magnitude and two's complement using 8 bits (a) +106 (b) -30 4. Assume numbers are represented in 8-bits two's complement representation. Show the calculation of the following and then verify your answer by showing the answer in signed decimal value. a. 4 -5 b. 70 - -80 C. 40 -20. d. 50 -120 5. Assuming that an 8-bits two's complement representation is used, perform the binary subtraction operation for the following decimal numbers: 30-15 Then verify your answer by showing the answer in signed decimal value
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