Convert each of the following decimal values to 8-bit two’s complement binary: i) -3810 ii) 5510 iii) -6510 iv) 7210
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A: Solution:-
- Convert each of the following decimal values to 8-bit two’s complement binary:
- i) -3810 ii) 5510 iii) -6510 iv) 7210
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- Using binary numbers of 8 bits each, convert to binary and solve the following arithmetic operations using two’s complement representation: (13)10 - (25)10 -(13)10 - (18)1035) Assuming seven-bit two’s complement binary representation, write the bit patterns for the following decimal numbers in hexadecimal: a) -73b) -1c) 94Convert 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
- Perform the following conversions: Decimal number -91 to 8 bit two’s complement representation Decimal number -398 into 16-bit two's-complement representationShow 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) - 7a) 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?
- True/False The number of distinct values represented in a 32-bit sign-magnitude binary representation is identical to the number of numbers represented in a 32 bit 2's complement notation.a) Convert the following decimal numbers to 12 bit 2’s complement: -689 b)Convert the following 2's complement binary numbers to decimal. 0110 1101Convert the following decimal numbers into the one’s complement and two’s complement binary numbers,assuming 16-bit representation: a. (-124)10 = (-007C)16 = (-0000000001111100)2 =b. (-63)10 = (-003F)16 =(-0000000000111111)2=c. (-39)10 = (-0027)16 = (-0000000000100111)2 =
- Calculate the following decimal additions using Binary arithmetic and 2’s Complement ( assume 8 bits): 63 + 91 103-24 59-92. Using 2’s complement perform the following a. DBC16 – BDA16b. 101010112 – 110001122. Convert 576.3648 to base 43. Find the decimal number for -101011124. Find the 32 bit floating point representation of 1011010125. Find the range of numbers that can be represented by 5 bits 2’s complement numberCalculate the difference of the following hexadecimal numbers: 5ED4 - 07A4. Assume the numbers are unsigned 16-bit values. Show your work.