Adding two signed integers encoded in 2's complement, overflow is indicated when O the carry in to the high-order bit is equal to the carry out O the carry in to the high-order bit is not equal to the carry out O the carry in to the high-order bit and the carry out bit are both zero
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- If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent and a 4-bit significand: What is the largest positive and the smallest positive number that can be stored on this system if the storage is normalized? (Assume no bits are implied, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) What bias should be used in the exponent if we prefer all exponents to be non-negative? Why would you choose this bias?Construct a truth table in standard binary form for a function of four variables,F(W,X,Y,Z) = ABC,where ABC is the signed 3-bit sum of the signed 2-bit numbers WX and YZ.Exo 3 1+ The number whose code us 11.00 110 s in 2's complement on 8 bits is: A. 35 B₂ - 41 C. -51 61 2+ BCD character ending allows to code on! At 10 bots B = I bits. G+ 6 bits. Dt 8 bits 3- What is the encoding of A - 10100010 B- 110 111 11 ct 10110101 D- 1 1 0 1 1 1 1 0 (-34) 10 in 2's complement?
- If the floating-point number representation on a certain system has a sign bit, a 3-bitexponent and a 4-bit significand: • What is the largest positive and the smallest positive number that can be stored on this?system if the storage is normalized? (Assume no bits are implied, there is no biasing,exponents use two's complement notation, and exponents of all zeros and all ones areallowed.)• What bias should be used in the exponent if we prefer all exponents to be non-negative?Why would you choose this bias? show work and write out solutionIn a particular computer system, real numbers are stored using floating-point representation with:• 10 bits for the mantissa• 6 bits for the exponent• two’s complement form for both mantissa and exponent. (a) Calculate the normalised floating-point representation of +192.5 in this system. Show your working.Show Steps Please 18. If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent and a 4-bit significand: a) What is the largest positive and the smallest positive number that can be stored on this?system if the storage is normalized? (Assume no bits are implied, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) b) What bias should be used in the exponent if we prefer all exponents to be non-negative? c) Why would you choose this bias?
- 10- Do: (a) Find the 16's complement of C3DF. (b) Convert C3DF to binary. (c) Find the 2's complement of the result in (b). (d) Convert the answer in (c) to hexadecimal and compare with the answer in (a).Aiven the numberis OXA1 and Ox 23 (2s compliment 8 bits), calculate 3- xay (ogain . in 2s on complément on 8 Bits) and repnesent it as henadeemal, on indicate. the predence of over flow.8. The generator polynomial is given by X4+X³+1. (a) Encode the data bits, 00111011001, using CRC. (b) Assume that bit 7 in the received coded word is in error. Show the error detection.
- b) Given an IEEE-754 single precision notation as shown below, show how this notation can be represented in a sign-magnitude notation in decimal. You are required to show all working steps. 1 10000001 110011000000000000000000 Assume that: Excess-127 is applied. The implied binary point is on the right of the first bit of mantissa.A 7-bit hamming code is received as 10111010. Assume EVEN PARITY and state whether the received code is correct or wrong. If it is wrong locate the BIT in error.a. Obtain the 9's complement of the following eight-digit decimal numbers: A=90009951; and B=00980100 b. Obtain the 10's complement of the following eight-digit decimal numbers: A=90009951; and B-00980100 c. Suppose that we use the 10's complement of X to represent -X. Show that A-B can be performed as A+ (-B); i.e., by taking the 10's complement of B and adding it to A (and ignoring the carry out of the 8-digit decimal values).