1. Suppose we use six bits to represent a two’s complement binary number. Perform the following subtractions, indicating when overflow occurs: (a) 010101 (b) 100000 (c) 010101 (d) 100110 - 001101 - 110011 - 101111 - 11111131
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1. Suppose we use six bits to represent a two’s complement binary number. Perform the
following subtractions, indicating when overflow occurs:
(a) 010101 (b) 100000 (c) 010101 (d) 100110
- 001101 - 110011 - 101111 - 11111131
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- A(n) __________ is an integer stored in double the normal number of bit positions.a) 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?Using the following notational conventions, we can transform the decimal value 30 into an 8-bit binary representation: One's a) Complement; b) Excess-M:?
- 1) Assume 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 1011 0101.001 2) Assume we have a byte system for the fixed number representation (the whole number is presented with 8-bits (one byte) and the fractional part is presented with 2-bits), find the 2's complement of 0110 0010.01What are the 16-bit 1’s and 2’s complements of the following binarynumbers? c. 0100111000100100given the 16 bit value 1001101011001101 . what operation must be performed in order to see to 1 the last eight bits?
- 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. Repeat using 1's complement to represent negative numbers. (If overflow occurs, enter OVERFLOW.)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?
- 1) Assume we have 16-bit (2 bytes) 2's complement system with a 2-bit fractional. Find a decimal representation of 2's complements number 1111 1111 1110 0111.11 (The quiz is expecting a numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.) 2) Assume 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 (The quiz is expecting a numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.)Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 00111111100000000000000000000000 = 11000001000101101011100001010010 =Assume we have a byte system for the fixed number representation (the whole number is presented with 8-bits (one byte) and the fractional part is presented with 2-bits), find the 2's complement of 0110 0010.01 The answer should be formatted as a fractional 2's complement binary number representation with the exact format of the answer that is required of this particular calculation