Convert the following two’s complement binary fixed-point numbers to base 10. The implied binary point is explicitly shown to aid in your interpretation. (Note: You should show all the steps) a) 0111.1101 b) 1111.1111
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- Convert the following two’s complement binary fixed-point numbers to base 10. The implied binary point is explicitly shown to aid in your interpretation.
(Note: You should show all the steps)
a) 0111.1101
b) 1111.1111
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- Add the following numbers in binary using 2's complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs. Repeat for parts (a), (c), (d), and (e) using 1's complement to represent negative numbers. (Include the leading one for negative numbers in your answers. If overflow occurs, enter OVERFLOW.)Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 11000001000101101011100001010010 =Round the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation. I. 1.00111112 II. 1.10010012 III. 1.01111002 IV. 1.01101002 For each of the four (4) resulting rounded binary numbers, indicate - what type of rounding you performed and - compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process. please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signs
- Add the following numbers in binary using 2's complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs. Repeat using 1's complement to represent negative numbers. (If overflow occurs, enter OVERFLOW.)Convert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 10Convert the following decimal numbers to binary 4-bit two’s complementrepresentations, or explain why the conversion is not possible.a. 3 b. -5 c. -10
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