a. What decimal number is represented by the following single precision float? 1 0111 1100 0110 0000 0110 0000 0000 000 b. What decimal number is represented by the following single precision float? 1 0101 1100 0110 0010 0110 0000 0000 000 c. How many bits are needed to represent 57B(Hex) in binary?
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a. What decimal number is represented by the following single precision
float?
1 0111 1100 0110 0000 0110 0000 0000 000
b. What decimal number is represented by the following single precision
float?
1 0101 1100 0110 0010 0110 0000 0000 000
c. How many bits are needed to represent 57B(Hex) in binary?
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- A(n) __________ is an integer stored in double the normal number of bit positions.Convert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 10In an 8-bit binary number, which is the most significant bit (MSB)? What is the decimal representation of each of the following unsigned binary integers? 00110101 b. 10010110 c. 11001100 What is the sum of each pair of binary integers? 10101111 + 11011011 10010111 + 11111111 01110101 + 10101100 Calculate binary 00001101 minus 00000111. How many bits are used by each of the following data types? word doubleword quadword double quadword What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A Whatistheunsigneddecimalrepresentationofeachofthefollowinghexadecimalintegers? 3A 1BF 1001…
- . Convert 168 and 123 to binary and then compute their addition. How many bytes does it take to represent each number? How many bytes are needed for the answer?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)What decimal value does the 8-bit binary number 10011110have if:1. a) It is interpreted as an unsigned number?b) It is on a computer using signed-magnituderepresentation?2. c) It is on a computer using one’s complementrepresentation?3. d) It is on a computer using two’s complementrepresentation?4. e) It is on a computer using excess-127 representation?
- Using a "word" of 4 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: a) Unsigned integer, b) Signed magnitude, c) One’s complement, d) Two's complementBinary Unsigned IntegerSigned MagnitudeOne’sComplementTwo’s Complement0000000100100011010001010110011110001001101010111100110111101111What decimal value does the 8-bit binary number 00010001have if: 1. a) It is interpreted as an unsigned number?2. b) It is on a computer using signed-magnituderepresentation?3. c) It is on a computer using one’s complementrepresentation?4. d) It is on a computer using two’s complementrepresentation?5. e) It is on a computer using excess-127 representation?1) For a sytem of 10-digit unsigned base 2 numbers, how many numbers can be represented? 2) For a (n-1) digit 2's complement binary number (n>2), what is the number of negative integers? 3) For a 10 digit 2's complement number, what is the difference between the most positive number and the most negative number?
- dont use others answers 3 a) Represent the decimal number -89 in binary using 8-bit: i.Signed magnitude: ____________________________ ii.One's complement: ____________________________ iii.Two's complement: ___________________________ b) What decimal value does the 8-bit binary number 10011110 have if: i.it is interpreted as an unsigned number? ___________________________ ii.it is on a computer using signed-magnitude representation? _______________________ iii.it is on a computer using one’s complement representation? _______________________ iv.it is on a computer using two’s complement representation? _______________________B. What is the decimal representation of each of the following unsigned binary integers? 11111000 11001010 11110000This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number 6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111110 01100000000000000000000