.. Convert each pair of decimal numbers to 8-bit signed binary form and add the numbers together. (10 points each) a. -69 and 42

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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1. Convert each pair of decimal numbers to 8-bit signed binary form and add the numbers
together. (10 points each)
a. -69 and 42
Transcribed Image Text:1. Convert each pair of decimal numbers to 8-bit signed binary form and add the numbers together. (10 points each) a. -69 and 42
Expert Solution
Step 1

Let us perform the addition of two decimal numbers -69 and 42 using 2’s complement method.

The 2’s complement representations of -69 and 42  with 8 bits each are shown below.

 

-69 =

128        64        32        16        8           4         2           1

1 0 1 1 1 0 1 1

 = 10111011

 

42    =

128        64        32       16         8        4         2           1

0 0 1 0 1 0 1 0

42 = 00101010

 

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