1. Consider the 32-bit binary number (11000001010010000011000000000000). Convert this binary to its equivalent decimal, assuming if: a) It is a 2's complement signed number. b) It is an unsigned number. It is a sign-magnitude number.
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Answer A, B & C.
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- A(n) __________ is an integer stored in double the normal number of bit positions.a) Use the two’s complement binary representation to represent each of the following integers as 10-bit binary numbers. i) -13710 ii) 14510 iii) -15810 iv) 16710 v) -11510 b) If an 8-bit binary number is used to represent an analog value in the range from 0 to 100kg, what does the binary value 011001002 represent?1) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?
- 1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?Using the following notational conventions, we can transform the decimal value 30 into an 8-bit binary representation: One's a) Complement; b) Excess-M:?In general, how does one convert an M-bit unsigned binary number to an N-bit unsigned binary number, where N ≤ M? Assume the unsigned number can be represented in N bits.
- Assume we have 16-bit (2 bytes) 2's complement system with a 2-bit fractional. Find a decimal representation of 2's complements number 1111 1111 1110 0111.11 It will display your answer with commas every third digit No hand written and fast answer with explanationSuppose you are given 6-bit signed fixed-point number in binary where there are 3 bits before and 3 bits after binary point. Calculate its range and precision. Also, convert 110.011 in 4-bit unsigned binary fixed-point number to decimalLet X be the number of distinct 16-bit integers in 2's complement representation. Let Ybe the number of distinct 16-bit integers in sign magnitude representation. Then X-Y is?
- Calculate (4.41762275 *10-3 + 6.34225625 *10-3) * 1.05225 * 102 by hand, assuming each of the values are stored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.Using a "word" of 4 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: a) Unsigned integer, b) Signed magnitude, c) One’s complement, d) Two's complementBinary Unsigned IntegerSigned MagnitudeOne’sComplementTwo’s Complement0000000100100011010001010110011110001001101010111100110111101111Convert the decimal number -19.625 to a floating-point number expressed in the 14-bit simple model given in your text (1 bit for the sign, 5 bits for exponent using excess-15 notation, and 8 bit mantissa with no implied bit). Question 16 Convert the following decimal Real number to fixed point binary: 19.62510 Assume 8 bits for the whole part and 8 bits for the fraction