Question

Exercise 2: Add and subtract in 2's Complement We suppose we have 8 bits registers and signed numbers in the 2s complement system. Compute the following: 1. $+8_{10} - 2_{10} = ( )_2$ 2. $-8_{10} + 2_{10} = ( )_2$ 3. $-12_{10} - 11_{10} = ( )_2$ 4. $AF2_H + C0E3_H = ( )_H$

          Exercise 2: Add and subtract in 2's Complement
We suppose we have 8 bits registers and signed numbers in the 2s complement system.
Compute the following:
1. $+8_{10} - 2_{10} = ( )_2$
2. $-8_{10} + 2_{10} = ( )_2$
3. $-12_{10} - 11_{10} = ( )_2$
4. $AF2_H + C0E3_H = ( )_H$

Exercise 2: Add and subtract in 2's Complement
We suppose we have 8 bits registers and signed numbers in the 2s complement system.
Compute the following:
1. +810 - 210 = ( )2
2. -810 + 210 = ( )2
3. -1210 - 1110 = ( )2
4. AF2H + C0E3H = ( )H

Added by Cheryl L.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Derrick Danso

Step 1

+8 - 2: To subtract 2 from 8, we can convert both numbers to their 2's complement representation and then add them together. +8 in 2's complement: 0000 1000 -2 in 2's complement: 1111 1110 Now, let's add them together: 0000 1000 + 1111 1110 ------------ 0000 Show more…

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Exercise 2: Add and subtract in 2's Complement We suppose we have 8-bit registers and signed numbers in the 2's complement system. Compute the following: 1. +8 - 2 = () 1010 0010 2. -8 + 2 = () 1111 1110 3. -12 - 11 = () 1110 1111 4. AF2 + C0E3 = () H H H