1. Briefly explain sign magnitude and two's complement representation. 2. What is the sign of 10010001,? How you determine the sign of this number? 3. Representing the following decimal numbers in both binary sign magnitude and two's complement using 8 bits (a) +106 (b) -30
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- A(n) __________ is an integer stored in double the normal number of bit positions.How is the following binary number represented? Please see below and match the left with the right correctly. 1000 0011 In unsigned representation : - 131 or -3 or 125 In signed-magnitude representation : - 131 or -3 or 125 In 2's complement representation : - 131 or -3 or 125a. Obtain the 9's complement of the following eight-digit decimal numbers: A=90009951; and B=00980100 b. Obtain the 10's complement of the following eight-digit decimal numbers: A=90009951; and B-00980100 c. Suppose that we use the 10's complement of X to represent -X. Show that A-B can be performed as A+ (-B); i.e., by taking the 10's complement of B and adding it to A (and ignoring the carry out of the 8-digit decimal values).
- Assume that we use signed binary two's complement representation. The largest decimal value we can represent with 8 bits is and its binary form is The smallest decimal value we can represent with 8 bits is and its binary form is Decimal equivalent of 00010010 is Decimal equivalent of 11101010 isObtain the 1’s and 2’s complements of the following binary numbers: (a) 00010000 (d) 10101010 (b) 00000000 (e) 10000101 (c) 11011010 (f) 11111111 Represent the unsigned decimal numbers 791 and 658 in BCD, and then show the steps necessary to form their sum. Express the following numbers in decimal: (a) (10110.0101) 2 (b) (16.5) 16 (c) (26.24) 8 (d) (DADA.B) 16 (e) (1010.1101) 2 Add and multiply the following numbers without converting them to decimal. (a)Binary numbers 1011 and 101. (b)Hexadecimal numbers 2E and 34.You have to perform the following subtraction in 2's complement form 29 - 75 (base 10). How many bits are required to represent each number in binary to perform subtraction in 2'scomplement? Perform the subtraction and show the result in decimal.
- 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?Given a floating point representation 10110 11101101000 (5-bit exponent and 11-bit significant) Question: if the exponent is in two’s and the significant is in one’s, what are its normalized floating point representation in hexadecimal and its real value in hexadecimal? Please answer based on given numbers.Using a “word” of 3 bits, list all the possible signed binarynumbers and their decimal equivalents that are representable in:1. a) Signed magnitude2. b) One’s complement3. c) Two’s complement
- Add the following numbers using 4-bit representation using 2’s complement addition. State whether the result is positive, negative, or overflow.3. Perform the following operations involving four-bit 2's complement numbers and indicate whether arithmetic overflow occurs. Verify your answers by converting to decimal sign- magnitude representation. 0011 +0100 0101 +0110 0101 + 1010 1011 +0110 1101 + 1100 1011 + 1010Perform the following operations involving four-bit 2’s complement numbers and indicate whether arithmetic overflow occurs. Verify your answers by converting to decimal sign-magnitude representation. (Convert to decimal number to verofy the answers).