Given a hexadecimal number az ar-1 ... aj40, we can convert it to decimal using the following expression: az : 16* + a-1· 16-1 +.. +a 16' + ao 16° This example will guide you to convert the hexadecimal number A599 to decimal.
Given a hexadecimal number az ar-1 ... aj40, we can convert it to decimal using the following expression: az : 16* + a-1· 16-1 +.. +a 16' + ao 16° This example will guide you to convert the hexadecimal number A599 to decimal.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 2OE
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Transcribed Image Text:Given a hexadecimal number azas-1 ... aj an, we can convert it to decimal using the following expression:
az · 16 + a-I: 16-1 +.. +aj · 16' + ao : 16°
This example will guide you to convert the hexadecimal number A599 to decimal.
- Step 1
In this step, you will complete the first row of the table, which includes the value of the index for each bit in the hexadecimal number.
Note that the right most cell corresponds to the index of the right most bit, and the left most cell corresponds to the index of the left most bit.
k
ak
16*
az · 16*
- Step 2
In this step, you will complete the second row of the table, which includes the hexadecimal digit at each index.
2
1
16*
a · 16*
- Step 3
In this step, you will complete the third row of the table, which calculates the value of
for each index k.
3
1
ak
5
9
16*
az - 16*
- Step 4
In this step, you will complete the fourth row of the table, which calculates a · 16*, i.e., multiply the second row and the third row.
3.
2
1
ak
A.
9
9
16*
4096
256
16
1
a - 16*
Step 5
Now, you can easily get the final answer by adding up the values in the last row of the table.
Enter your final answer:
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