Question 1 The numbers given belong to binary number system calculate (a) decimal weightage of these numbers considering them to be signed binary numbers, (b) find l's complement and 2's complement of each number while taking them as unsigned numbers. (a) 1010101 (b) 0110011 (c) 111110011
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- A(n) __________ is an integer stored in double the normal number of bit positions.8) Obtain the 1’s and 2’s complements of the following binary numbers correctly:(a) 10010000(b) 00000000(c) 11011010(d) 10101010(e) 10100101(f) 11111111 9) Convert decimal +49 and +29 to binary, using the signed-2’s-complementrepresentation and enough digits to accommodate the numbers. Thenperform the binary equivalent of (+29) + (-49), (-29) + (+49), and (-29) + (-49). Convert the answers back to decimal and verify that they are correct.Create the gray code representation of the following binary numbers.i) 10101 ii) 01001 iii) 10110 iv) 00111 v) 00101
- Please solve and show all work. Thank you. Write down the binary representation of the decimal number 63.75, assuming the IEEE 754 single precision format.1) Answer the following questions a) For an (n-1)-digit 2's complement binary number (n > 2), what is the number of negative integers? b) For a 10-digit 2's complement number, what is the difference between the most positive number and the most negative number?6. 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).b. 11.2265625
- 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. 11.22656251. Represent the following decimal numbers in 8 bits: (+94)10 and (–124)10 by (a) Sign-magnitude, (b) one’s complement, and (c) two’s complement representation 2. Express the following decimal numbers in Excess-3 code form: 24510, 73910, and 456710. 3. Express the following Excess-3 codes as decimals: 1000001101102 and 01111100100101102.WHAT IS THE 5-digit HEXADECIMAL REPRESENTATION OF EACH OF THE FOLLOWING SIGNED DECIMAL INTEGERS? A. -24 B. -31 C. -1
- 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) −44In a particular computer system, real numbers are stored using floating-point representation with:• 10 bits for the mantissa• 6 bits for the exponent• two’s complement form for both mantissa and exponent. (a) Calculate the normalised floating-point representation of +192.5 in this system. Show your working.Assume numbers are represented in 8-bit twos complement representation. Show the calculation of 11000011 - 11101000. It's 195 minus 232, but I don't get how to solve it when the second number is a higher value than the first. How do I subtract this?