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Problem A Add the 8-bit 2's-complement integer 01111111 to the 6-bit 2's-complement integer 011111. Sign-extend the 6-bit number to 8 bits. Add in binary and write the 8-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result. Problem B Add the 7-bit 2's-complement integer 1010010 to the 5-bit 2's-complement integer 01110. Sign-extend the 5-bit number to 7 bits. Add in binary and write the 7-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result. Problem C Add the 7-bit 2's-complement integer 1001110 to the 6-bit 2's-complement integer 100100. Sign-extend the 6-bit number to 7 bits. Add in binary and write the 7-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result.

Problem A Add the 8-bit 2's-complement integer 01111111 to the 6-bit 2's-complement integer 011111. Sign-extend the 6-bit number to 8 bits. Add in binary and write the 8-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result. Problem B Add the 7-bit 2's-complement integer 1010010 to the 5-bit 2's-complement integer 01110. Sign-extend the 5-bit number to 7 bits. Add in binary and write the 7-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result. Problem C Add the 7-bit 2's-complement integer 1001110 to the 6-bit 2's-complement integer 100100. Sign-extend the 6-bit number to 7 bits. Add in binary and write the 7-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result.

Systems Architecture
Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter3: Data Representation
Section: Chapter Questions
Problem 3VE: A(n) __________ is an integer stored in double the normal number of bit positions.
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Problem A Add the 8-bit 2's-complement integer 01111111 to the 6-bit 2's-complement integer 011111. Sign-extend the 6-bit number to 8 bits. Add in binary and write the 8-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result. Problem B Add the 7-bit 2's-complement integer 1010010 to the 5-bit 2's-complement integer 01110. Sign-extend the 5-bit number to 7 bits. Add in binary and write the 7-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result. Problem C Add the 7-bit 2's-complement integer 1001110 to the 6-bit 2's-complement integer 100100. Sign-extend the 6-bit number to 7 bits. Add in binary and write the 7-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result.
Transcribed Image Text:Problem A Add the 8-bit 2's-complement integer 01111111 to the 6-bit 2's-complement integer 011111. Sign-extend the 6-bit number to 8 bits. Add in binary and write the 8-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result. Problem B Add the 7-bit 2's-complement integer 1010010 to the 5-bit 2's-complement integer 01110. Sign-extend the 5-bit number to 7 bits. Add in binary and write the 7-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result. Problem C Add the 7-bit 2's-complement integer 1001110 to the 6-bit 2's-complement integer 100100. Sign-extend the 6-bit number to 7 bits. Add in binary and write the 7-bit result. State whether overflow occurred and how you know. Give the equivalent base-10 problem and result.
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