Express the following base 10 numbers in two’s complement binary fixed-point numbers with eight integer bits and eight fraction bits. Express your answer in hexadecimal. −30.75 16.375
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Express the following base 10 numbers in two’s complement binary fixed-point numbers with eight integer bits and eight fraction bits. Express your answer in hexadecimal.
- −30.75
- 16.375
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- A(n) __________ is an integer stored in double the normal number of bit positions.Express the following base 10 numbers in two’s complement binary fixed-point numbers with eight integer bits and eight fraction bits. Express your answer in hexadecimal. (Note: You should show all steps) −30.75 16.375convert the following decimal numbers to 6-bit two’s complement binary numbers and subtract them. Indicate whether or not thedifference overflows a 6-bit result.−1910-(+1410) =
- What are the 16-bit 1’s and 2’s complements of the following binary numbers? 100111100001001Binary codes. Determine the decimal values of the following 2 complement signed binary numbers, X1 and X2 then add the result. X1= 01010110 and X2= 10101010.1- Convert the following decimal numbers to 8-bit two’s complement numbers1. 4210 (Subscript of 10 for all integers)2. −63103. 124104. −128105. 133102- Convert the following decimal numbers to 6-bit two’s complement binarynumbers and add them.1. 1610 + 9102. 2710 + 31103. −410 + 19104. 310 + −32105. −1610 + −9103- Convert the following decimal numbers to 5-bit two’s complement binarynumbers and subtract them. Indicate whether or not the difference overflowsa 5-bit result.1. 910 − 7102. 1210 − 1510
- 3. Represent the following decimal numbers in binary using 8-bit signed magnitude, one'scomplement and two's complement:a. 77b. −42c. 119d. −107Please add the following numbers in binary using 2’s complement to represent negative numbers.Use a word length of 6 bits (including sign) and indicate if an overflow occurs:(-11) + (-4) = ?11 + 9 = ?(-10) + (-6) = ?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
- How does the magnitude of the most positive number compare with the magnitude of the mostnegative number in an N-bit two’s complement number? How many distinct integers can be represented by an N-bit two’s complement representation (i.e.what is the difference between the most positive and the most negative)?What is the binary equivalent (in two's complement binary representation) of the following signed decimal value? Represent the integer part of the binary value, including the sign, in 8 bits. Represent the fraction part of the binary value in 4 digits. Use truncation, if needed. -56.6875 _________Give the codewords of 4-bit binary natural number (BNN) and 4-bit two’s complement fixed-point number codes that represent the closest value to the decimal number 0.7. Specify the number of fractional bits and the error for each code.