Question

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2.1

a.  Find the 16-bit 2’s complementary binary representation for the decimal number 1987.

b.   Find the 16-bit 2’s complementary binary representation for the decimal number
−1987.

What are the 16-bit 1’s and 2’s complements of the following binary numbers?

a.   10000
b.   100111100001001

Convert the decimal number 19557 to floating point. Use the format SEEMMMM. All digits are decimal. The exponent is stored excess-40 (not excess-50). The implied decimal point is at the beginning of the mantissa. The sign is 1 for a positive number, 7 for a negative number. Hint: Note carefully the
number of digits in the mantissa

What is the floating point representation for 0.0000019557

Answer 1

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Q2.1) a.) For positive numbers, 2's complement of a number is its binary representation, so for decimal number 1987, 2's complement binary representation is 0000011111000011.

b.) For negative numbers, first we find it's binary equivalent then its first complement and then 2's complement. so for decimal number 1987, 2's complement binary representation is 0000011111000011.

1's complement will be 1111100000111100 and 2's complement will be 1111100000111101.

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