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A binary integer B in the range 0 <= B < 27 can be represented by 7 bits in "fixed-point" format, B = B6B5B4B3B2B1B0. We can represent numbers in the same range with less precision using 6 bits in a floating-point notation, F = M.2E, where M is a 4-bit mantissa M = M3M2M1M0 and E is a 2-bit exponent E = E1E0. In this system, the smallest integer is 0.2° and the largest is 15.23. We can write B = M•2E+T where the truncation error T satisfies 0 <= T < 2E. For example:
• if B = 1011010 we would choose M = 1011 and E = 11 and the truncation error would be T = 10;
• if B = 0110101 we would choose M = 1101 and E = 10 and the truncation error would be T =1.
(a) Start by expressing the following binary integers B in the form B = M•2E +T where M, E and T are as specified above: (i) 1111111; (ii) 1111000; (iii) 0000000; (iv) 0001100; and (v) 1010101.
(b) Design a combinational circuit which takes as input the 7-bit unsigned binary integer B = B6B5B4B3B2B1B0 and which outputs the 4-bit mantissa M = M3M2M1M0 and the 2-bit exponent E = E1E0 of the floating-point representation of the number. You do not need to sketch the circuit, rather you should write down a sum-of-products expression for each of the six ouput variables in terms of the input variables. As always, you should explain the reasoning behind your design.
Consider a pressure relief system. If consists of two values in parallel and achieves an availability of 0.95 when the valves are tested on a staggered basis, each valve being tested every 4 months. Estimate the failure rate of the values.
can you solve the attached file with full details and steps required and attached matlab code as a text and picture of
a) construct the straight-line Bode plot of the gain. Is this a low-pass, high-pass, bandpass, or bandstop function b) Use the straight-line plot to estimate the maximum gain and the frequency at which it occurs.
High-definition television (HDTV) generates images with a resolution of 1125 horizontal TV lines interlaced (where every other line is painted on the tube face in each of two fields, each field being 160th of a second in duration).
The analog signal cos (200t) is digitized using a sampling frequency of 300 Hz, and a quantization of 8 bits per sample. How many bits will be used to store 2 minutes of the digital signal
A1. An amplifier has cutoff frequencies of 120.0 Hz and 1.200 kHz. Calculate the bandwidth and center frequency of the amplifier. A2. The upper cutoff frequency of an amplifier is 8.000 MHz and its center frequency is 1 MHz.
If one of the resistors in a parallel circuit were shorted, what would you expect to see happen and could a shorted component in a parallel circuit cause an open to occur elsewhere.
For the difference equation below, find the impulse response by first solving without any transforms. Assume sequence is zero-valued for n
A 1 lb weight is suspended from a 0.005 in diameter wire. The unstrained resistance of the wire, R0, is 270 ohm, and its unstrained length is L0=36 in. The wire's gauge factor is 3.2. a. Calculate the psi tensile stress on the loaded wire.
An antenna having an input impedance on transmission of 70+j30 ohms is used on reception by connecting directly to a 50 ohms transmission line which is perfectly matched to a pure resistance load
What is the memory layout of the 16-bit value, 0x7654 in a big-endian 16-bit machine.
a majority function is generated in a combinational circuit when the output is equal to 1 if the input variables have
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