Convert the following negative decimal numbers to 6-bit negative binary numbers. c) decimal: –30 binary: 111110 d) decimal: -32 binary: 1100000 e) decimal: -1 binary: 100001
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A: 145.3510=10010001.010110011002 So 145 = 10010001 .35 = .010110011
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A: 0101 1000 0011 1100 --1-1-1----------- 1001 0100
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- A(n) __________ is an integer stored in double the normal number of bit positions.Round the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation. I. 1.00111112 II. 1.10010012 III. 1.01111002 IV. 1.01101002 For each of the four (4) resulting rounded binary numbers, indicate - what type of rounding you performed and - compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process. please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signsQ-5: (a) The following numbers use the IEEE 32-bit floating-point format. What is the equivalent decimal value? i) 1 10000011 11000000000000000000000 ii) 0 01111110 10100000000000000000000 (b) Convert the following decimal number to IEEE 32-bit floating-point format i) -16.625 X 10 ^ 4 ii) -3013.3125
- Convert each of the following bit patterns into real numbers. Assume the values are stored using the floating point bit model. 11000001000101101011100001010010 =1.What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 2.What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 3.What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A 4.What is the unsigned decimal representation of each of the following hexadecimal integers? 3A 1BF 1001 5.What is the unsigned decimal representation of each of the following hexadecimal integers? 62 4B3 29F3. The following 16- bit hexadecimal number represents signed integer. Convert to decimal. C123
- What is the minimum number of binary bits needed to represent the following unsigned decimal integer? 2134657What are the 16-bit 1’s and 2’s complements of the following binary numbers? 100111100001001For the following questions please list them in order shown and show work on how you got the answer please. 1. The following 16- bit hexadecimal number represents signed integer. Convert to decimal. 7CAB 2. What is the unsigned decimal representation of the hexcadecimal integer? 1C9 3. The following 16- bit hexadecimal number represents signed integer. Convert to decimal. C123 4. What is the binary represenation of the following hexadecimal number? 2B3D9461 5. What is the 8-bit binary(two- complement) representation of the following signed decimal integer? -16 6. What is the decimal representation of the following signed binary number? 7. What is the sum of the pair of binary integers?(answer in binary) 11010101 + 01101011
- 9)The following numbers use the IEEE 32-bit floating-point format. What is the equivalent decimal value? (a) 1 10000011 11000000000000000000000 (b) 0 01111110 10100000000000000000000 (c) 0 10000000 000000000000000000000001- Convert the following decimal numbers to 8-bit two’s complement numbers1. 4210 (Subscript of 10 for all integers)2. −63103. 124104. −128105. 133102- Convert the following decimal numbers to 6-bit two’s complement binarynumbers and add them.1. 1610 + 9102. 2710 + 31103. −410 + 19104. 310 + −32105. −1610 + −9103- Convert the following decimal numbers to 5-bit two’s complement binarynumbers and subtract them. Indicate whether or not the difference overflowsa 5-bit result.1. 910 − 7102. 1210 − 1510Convert 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 10