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ويسعدك ياارب =)
إجابة أول سؤال :
1. A number system shows how a number can be represented using distinct symbols.
2. In a positional number system, the position of a symbol determines the value it
represents. In a nonpositional number system each symbol has a value but the position
of a symbol normally has no relation to its value; the value of each symbol is
3. The base (or radix) is the total number of symbols used in a positional number system.
4. The decimal system is a positional number system that uses ten symbols to represent
a number. The word decimal is derived from the Latin root decem (ten) or decimalis
(related to ten). In the decimal system, the base is 10.
5. The binary system is a positional number system that uses two symbols (0 and 1)
to represent a number. The word binary is derived from the Latin root bini (two by
two) or binarius (related to two). In the binary system, the base is 2.
6. The octal system is a positional number system that uses eight symbols to represent
a number. The word octal is derived from the Latin root octo (eight) or octalis
(related to eight). In the octal system, the base is 8.
7. The hexadecimal system is a positional number system with sixteen symbols. The
word hexadecimal is derived from the Greek root hex (six) and the Latin root
decem (ten). To be consistent with decimal and binary, it should have been called
sexadecimal, from Latin roots sex and decem. In the hexadecimal system, the base
8. Conversion is easy because there is a direct relationship between the two systems (see
the answer to question 9).
9. Four bits in binary is one hexadecimal digit.
10. Three bits in binary is one octal digit.
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إجابة السؤال التاني :
* : دي أعملوها علامة ضرب مو ستار زي ما أنا عاملة .
( 1 * 2 أس سالب ثلاثة + 1 * 2 أس سالب اثنين + 0 * 2 أس سالب واحد + 0 * 2 أس صفر + 0 * 2 أس واحد + 1 * 2 أس اثنين + 1 * 2 أس ثلاثة + 0 * 2 أس أربعة + 1 * 2 أس خمسة )
= ( 1 على 8 + 1على 4 + 0 + 0 + 0 + 4 + 8 + 0 + 23 )
= 44.375 " أتأكدوا من الناتج لأني حليتو بدون آلة فما أعرف صح ولا .. ض1 "
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إجابة السؤال الثالث :
( 1 * 16 أس سالب اثنين + 14 * 16 أس سالب واحد + 14 * 16 أس صفر + 5 * 16 أس واحد + 3 * 16 أس اثنين )
= 862.90625 " كمان أتأكدوا من الناتج "
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إجابة السؤال الرابع :
( 3 * 8 أس سالب اثنين + 6 * 8 أس سالب واحد + 2 * 8 أس صفر + 1 * 8 أس واحد + 3 * 8 أس اثنين + 5 * 8 أس ثلاثة )
= 2762.79688
هذـآ والله أعلم ،،
بالتوفييق ^^