Perform the following conversions: Decimal number -91 to 8 bit two’s complement representation Decimal number -398 into 16-bit two's-complement representation
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Perform the following conversions:
- Decimal number -91 to 8 bit two’s complement representation
- Decimal number -398 into 16-bit two's-complement representation
Step by step
Solved in 2 steps
- A(n) __________ is an integer stored in double the normal number of bit positions.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 these decimal values to 16-bit 2's complement representation. Show the binary math. Convert back from 16-bit 2's complement to decimal.
- Convert the following decimal numbers to binary 4-bit two’s complementrepresentations, or explain why the conversion is not possible.a. 3 b. -5 c. -10True/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.Represent the following numbers in the indicated notation. Show your work a. -26 in 8-bit signed magnitude notation b. -26 in 8-bit 2s complement notation c. -26 in excess-128 notation d. represent the 8-bit 2s complement number 11111100 as a 4-bit 2s complement number
- 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) - 735) Assuming seven-bit two’s complement binary representation, write the bit patterns for the following decimal numbers in hexadecimal: a) -73b) -1c) 94Show your steps. Show the 8-bit binary signed-magnitude representation for the following decimal numbers: 10910 -10910 +4310 -4310 +(0)10 -(0)10
- Assume numbers are represented in 8-bit twos complement representation. Show your solution in the following: 6 + 13 -6 + 13 6- 13 -6-13Using 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)10Convert 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 =