Concept explainers
Convert each of the following decimal numbers to its binary equivalent.
(a) 37 (b) 93 (c) 129 (d) 355
![Check Mark](/static/check-mark.png)
(a)
Interpretation:
Decimal number 37 should be converted into the binary number.
Concept introduction:
The decimal number are base 10 numbering system. There are ten symbols use in 10 base system. They are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
The binary numbers are base 2 numbering system. Binary only use two symbols which are 0 and 1.
When converting decimal number to binary number; divide the decimal number by 02 first. Then write down the result underneath and write the remainder on the right-hand side (always remainder will be 0 or 1). Continue the dividing and writing down the remainders until the result of the division is equal to zero.
Answer to Problem 4.1QAP
100101
Explanation of Solution
![Check Mark](/static/check-mark.png)
(b)
Interpretation:
Decimal number 93 should be converted into the binary number.
Concept introduction:
The decimal number are base 10 numbering system. There are ten symbols use in 10 base system. They are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
The binary numbers are base 2 numbering system. Binary only use two symbols which are 0 and 1.
When converting decimal number to binary number; divide the decimal number by 02 first. Then write down the result underneath and write the remainder on the right-hand side (always remainder will be 0 or 1). Continue the dividing and writing down the remainders until the result of the division is equal to zero.
Answer to Problem 4.1QAP
1011101
Explanation of Solution
![Check Mark](/static/check-mark.png)
(c)
Interpretation:
Decimal number 129 should be converted into the binary number.
Concept introduction:
The decimal number are base 10 numbering system. There are ten symbols use in 10 base system. They are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
The binary numbers are base 2 numbering system. Binary only use two symbols which are 0 and 1.
When converting decimal number to binary number; divide the decimal number by 02 first. Then write down the result underneath and write the remainder on the right-hand side (always remainder will be 0 or 1). Continue the dividing and writing down the remainders until the result of the division is equal to zero.
Answer to Problem 4.1QAP
10000001
Explanation of Solution
![Check Mark](/static/check-mark.png)
(d)
Interpretation:
Decimal number 355 should be converted into the binary number.
Concept introduction:
The decimal number are base 10 numbering system. There are ten symbols use in 10 base system. They are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
The binary numbers are base 2 numbering system. Binary only use two symbols which are 0 and 1.
When converting decimal number to binary number; divide the decimal number by 02 first. Then write down the result underneath and write the remainder on the right-hand side (always remainder will be 0 or 1). Continue the dividing and writing down the remainders until the result of the division is equal to zero.
Answer to Problem 4.1QAP
101100011
Explanation of Solution
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