Concept explainers
(a)
Interpretation:
The given operation should be performed by using binary numbers and after that the final binary number obtained should be converted back to decimal.
Concept introduction:
Rules of Binary addition:
Binary sum of
Binary sum of
Binary sum of
Answer to Problem 4.7QAP
Explanation of Solution
We will convert the decimal to binary as follows:
Divide
Now divide
Now divide
Hence the binary equivalent of
Similarly, we can find the binary equivalent of
The sum is,
----------
-----------
The decimal equivalent of sum is,
(b)
Interpretation:
The given operation should be performed by using binary numbers and after that the final binary number obtained should be converted back to decimal.
Concept introduction:
Rules of Binary addition:
Binary sum of
Binary sum of
Binary sum of
Answer to Problem 4.7QAP
Explanation of Solution
we will convert the decimal to binary as follows:
Divide
Now divide
Now divide
....................................…………
....................................…………
Now divide
Hence the binary equivalent of
Similarly we can find the binary equivalent of
----------------
-----------------
(c)
Interpretation:
The given operation should be performed by using binary numbers and after that the final binary number obtained should be converted back to decimal.
Concept introduction:
Rules of Binary addition:
Binary sum of
Binary sum of
Binary sum of
Answer to Problem 4.7QAP
Explanation of Solution
we will convert the decimal to binary as follows:
Divide
Now divide
....................................…………
....................................…………
Now divide
Hence the binary equivalent of
Similarly, we can find the binary equivalent of
------------
-------------
(d)
Interpretation:
The given operation should be performed by using binary numbers and after that the final binary number obtained should be converted back to decimal.
Concept introduction:
Rules of Binary multiplication:
Binary product of
Binary product of
Binary product of
Answer to Problem 4.7QAP
Explanation of Solution
we will convert the decimal to binary as follows:
Divide
Now divide
....................................…………
....................................…………
Now divide
Hence the binary equivalent of
Similarly, we can find the binary equivalent of
-----------
--------------
--------------
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