
Base-2:
Base-2 number system consists of binary numbers “0” and “1”. The base-2 number system is a positional notation with a radix of 2.
Base-10 number system:
Decimal is the base-10 number system, which only uses the digits 0 through 9. The base-10 number system is a positional notation with a radix of 10.
Base 10:
Decimal is the base-10 number system, which only uses the digits 0 through 9. The base-10 number system is a positional notation with a radix of 10.
Base-8:
Base-0 number system uses the value 0 through 7. The base-8 number system is a positional notation with a radix of 8.
Base 10:
Decimal is the base-10 number system, which only uses the digits 0 through 9. The base-10 number system is a positional notation with a radix of 10.
Base-16:
The base 16 represents the hexadecimal number system. Hexadecimal number system consists of sixteen digits from 0 to 9, and from 10 to 15 is represented in the form of letters from A to F.
Explanation of Solution
Representing
To represent a positive decimal number in 16-bit excess notation, the binary equivalent of the number is added to
Binary equivalent of number 515 represented 16 bits:
Therefore,
Explanation of Solution
Representing
The two’s complement notation of any non-negative decimal number is the decimal equivalent of number. So, the binary equivalent of
Therefore, the two’s complement notation of
Representing
The two’s complement notation of negative decimal number is calculated by adding 1 to the complement of the binary equivalent of the number

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Chapter 3 Solutions
Systems Architecture
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