1. Represent the following decimal numbers in 8 bits: (+94)10 and (–124)10 by (a) Sign-magnitude, (b) one’s complement, and (c) two’s complement representation
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1. Represent the following decimal numbers in 8 bits: (+94)10 and (–124)10 by
(a) Sign-magnitude,
(b) one’s complement, and
(c) two’s complement representation
2. Express the following decimal numbers in Excess-3 code form: 24510, 73910, and 456710.
3. Express the following Excess-3 codes as decimals:
1000001101102 and 01111100100101102.
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Solved in 3 steps
- A(n) __________ is an integer stored in double the normal number of bit positions.A(n) _____ operation transforms a 0 bit value to 1 and a 1 bit value to 0.Data represented in ________ is transmitted accurately between computer equipment from different manufacturers if each computer’s CPU represents real numbers by using an IEEE standard notation.
- Convert 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 fraction1. Assume numbers are represented in 8-bit two's complement Show the calculation of the following: a) 5 + 10 b) 5 – 10 c) -5 + 10 d)-5 – 10 2. Represent the following decimal numbers or values according to the given requirements: a) +4 in both binary sign/magnitude and two's complement b) -6 in both binary sign/magnitude and two's complement c) -85 in two's complement d) +52 in two's complement 3. Find the following differences using twos complement arithmetic: a) 001000 – 110111 b) 10100101 – 011110 c) 100100001011 – 101010110011 d) 10011011 – 1010010135) Assuming seven-bit two’s complement binary representation, write the bit patterns for the following decimal numbers in hexadecimal: a) -73b) -1c) 94
- Calculate (3.41796875 *10-3 * 6.34765625 *10-3) by hand, assuming each of the values arestored in the 16-bit half precision format described in in the textbook. Assume 1 guard, 1 roundbit, and 1 sticky bit, and round to the nearest even. Show all the steps, and write your answer inthe 16-bit floating point format.Use the following representation methods to convert the decimal number 30 to an 8-bit binary number: a) the opposite of one's complement: b) Excess-M:?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?Show the binary representation of the following decimal numbers in (i) 2’s complement, (ii) 1’s complement, using 20 bits: a) 133,089 b) -138,989 c) - 7Representing 7 bit floating -point Given that the: Sign: 1 bit (MSB)•Exponent: 3 bits•Mantissa: 3 bits (LSB) State/provide the representation in 1s and 0s of the value indicated for each of the following subquestions. Make certain you include all of the bits required for a complete 7-bit representation. Please show all the steps a- 5.2510 B: -2.7510