how 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) - 7
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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) - 7
Step by step
Solved in 3 steps
- Represent the following decimal numbers in binary using 8-bitsigned magnitude, one’s complement, two’s complement, andexcess-127 representations:1. a) 972. b) −973. c) 444. d) −44Represent the following decimal numbers in binary using 8-bit signed magnitude, one'scomplement, two's complement, and excess-127 representation: a) 77 b) -42Represent the following decimal numbers in binary using 8-bitsigned magnitude, one’s complement, two’s complement, andexcess-127 representations.1. ◆a) 772. ◆b) −423. c) 1194. d) −107
- 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. 11.2265625Assume we have an 8-bit (1 byte) 2's complement system. Find a decimal representation of 2's complements binary number 1101 0011Assume we have 8 bit (1 byte) 2's complement system with a 3-bit fractional. Find a decimal representation of 2's complements binary number 1010 0111.101
- Convert each of the following base ten representations to its equivalent two’s complement form using patterns of 8 bits: 6 = -6 = 13 =Convert 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 =35) Assuming seven-bit two’s complement binary representation, write the bit patterns for the following decimal numbers in hexadecimal: a) -73b) -1c) 94
- Find the two's complement representations, using bit strings of length six, of the following integers. a)22 b)31 c) -7 d) -19subtract the following signed binary numbers (using 8 bits for the binary representation) as shown using 2s compliment. -27-10=Find the representation x of the following numbers listed below in the base specified on the right; 1.- (10100110)2=(x)10 # both signed and unsigned for a eight-bit binary representation 2.- (207)10=(x)2 3.- (-135)10=(x)2 # In a two-complement representation 4.- (2D7)16=(x)2 5.- (-3.3125)10=(x)2 #IEEE 754 standard, 32 bit representation