Convert -47 (base 10) to binary 8-bit signed-magnitude Convert -47 (base 10) to

Question

Convert -47 (base 10) to binary 8-bit signed-magnitude Convert -47 (base 10) to binary 8-bit one's complement. Convert -47 (base 10) to binary 8-bit two's complement. Convert -52 (base 10) to binary 8-bit signed-magnitude. Convert -52 (base 10) to binary 8-bit one's complement. Convert -52 (base 10) to binary 8-bit two's complement. The binary string 00001010001000 is a floating point number expressed using a 14-bit model which has (from left to right) a sign bit. a 5-bit exponent, and an 8-bit significand. Assume no bits are implied, there is no biasing, and exponents are stored as unsigned integers. What is its decimal equivalent?

Explanation / Answer

16)First we have to find 8-bit Binary code of 47(base 10) i.e 00101111

So 8-bit binary signed magnitude of -47(base 10) is 10101111 as 0 is for positive signed bit and 1 for negative signed bit since it is -47 so leftmost bit is 1 instead of 0..

17)One's complement of above digit we have to find by converting 0 into 1 and 1 into 0.

so (10101111)2=01010000

18)Two' complement of given digit has to find by adding 1 to 1's complement:

so it will be (01010000+1)=01010001

19)First we have to find 8-bit Binary code of 52(base 10) is 00110100

So 8-bit binary signed magnitude of -52(base 10) is 10110100

20)One's complement of -52(base 10) is 01001011 just flip the digits from 0 to 1 and vice versa

21)Two's complement is (01001011+1)=01001100

22)This is quite difficult to find that.

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