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8. Let x be the value of the number formed by 8962 example the x8962 Let y = 2741. (a) Determine the value of x-y (in our case this value is 8962 Represent this value of x - y in i. Sign and magnitude, ii. One's complement and 2741 = 6221

8. Let x be the value of the number formed by 8962 example the x8962 Let y = 2741. (a) Determine the value of x-y (in our case this value is 8962 Represent this value of x - y in i. Sign and magnitude, ii. One's complement and 2741 = 6221

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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8. Let be the value of the number formed by example (a) Determine the value of Represent this value of x- 8962 the = 8962 Let y = 2741. 7 i. Sign and magnitude, ii. One's complement and y (in our case this value is 8962 y in - 2741 = 6221 3 iii. Two's complement. Use the minimum number of bits needed to represent x - y as a signed number (b) Repeat the previous part for y-x (for our example, the value is 6221). In either this part or the previous one you should have a negative number. (c) Demonstrate that for the 2's complement representations the binary representa- tions of x-y and y - x (that you determined in parts (a) and (b)) add up to 0. You must show the carries in your binary addition. (d) Represent each of the binary strings you get in your answers to parts (a) and (b) of this problem in octal and hexadecimal.
Transcribed Image Text:8. Let be the value of the number formed by example (a) Determine the value of Represent this value of x- 8962 the = 8962 Let y = 2741. 7 i. Sign and magnitude, ii. One's complement and y (in our case this value is 8962 y in - 2741 = 6221 3 iii. Two's complement. Use the minimum number of bits needed to represent x - y as a signed number (b) Repeat the previous part for y-x (for our example, the value is 6221). In either this part or the previous one you should have a negative number. (c) Demonstrate that for the 2's complement representations the binary representa- tions of x-y and y - x (that you determined in parts (a) and (b)) add up to 0. You must show the carries in your binary addition. (d) Represent each of the binary strings you get in your answers to parts (a) and (b) of this problem in octal and hexadecimal.
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