Each of the following pairs of signed (two's complement) numbers are stored in computer words (6 bits). Compute the sum as it is stored in a 6-bit computer word. Show the decimal equivalents of each operand and the sum. Indicate if there is overflow. a. 111111+ 001011 b. 001001+ 100100 c. 001001+010011
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- ___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.9. Each of the following pairs of signed (two's complement) integers are stored in computer words (6 bits). Compute the sum as it is stored in a 6-bit computer word. Show the decimal equivalents of each operand and the sum. Indicate if there is overflow. a. 110101 С. 001100 001111 110100 b. 111010 0o0111What decimal value does the 8-bit binary number 10101110 have if: a) it is interpreted as an unsigned number? b) it is on a computer using signed-magnitude representation? c) it is on a computer using one's complement representation? d) it is on a computer using two's complement representation? e) it is on a computer using excess-127 representation?
- Show the binary sequence of the number (1111001.01)binary in IEEE 754 64bit floating point format.- What is the exponential part in decimal and binary?- What happens to the number part binary? (Although you don't show the rightmost zeros)- How does the whole number appear in binary? (Although you don't show the rightmost zeros)1. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD. (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers2. Convert the IEEE 754 single precision binary representation to a decimal number 1001 1001 1011 0000 0000 0000 0000 0000 Note: make sure that in final answer the fraction is in base 10 (at most 3 digits). You don't need to change the power of 2 in a power of 10.
- A hex number has a representation composed of the digits 4, 7, and A. Select all the potential binary expansions that the hex number can have. 010001111010 010010100111 011101001010 011110100100 101001000111 000100000100 000110100000Convert the following. Find the decimal integer represented by byte-length 2’s complement binary number01011011. Find the decimal integer represented by word-length 2’s complement hexadecimalnumber 6F 20. Find byte-length 1’s complement binary number for decimal -101. explain each step in detailA number x in 64-bits is presented in double precision floating point form as follows. 1 10000001000 0011100001100000000000000000000000000000000000000000 Find the value of x in decimal representation.
- Each of the following pairs of signed integers are stored in computer words (6 bits). Compute the sum as it is stored in a 6-bit computer word. Show the decimal equivalent of each operand and the sum. Indicate if there is overflow. a) 110101 + 001111Consider the half-precision floating-point format, which has five bits for the exponent and ten bits for the significand. Find the decimal (i.e., base 10) number represented by the following bits in the half-precision floating- point format: (a) 0100110001110000. (b) 1000001111 1111. (c) 0111110000000000.Generate 2 random 8-bit binary numbers and do the following:answer:a) Show the 1's complement of your first number.b) Show the 2's complement of your second number (which must be different from the first).