The value ofa foat type variable is epresented using the single-precision 32-bit loating point format of IEEE-754 standard that uses I bit for sign, 8 bits for biased exponent and 23 bits for mantissa. A float type variable X is assigned the decimal value of -1425. The representation of X in Son is
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- The IEEE Standard 754 representation of a floating point numberis given as: 01101110110011010100000000000000. Determine thebinary value represented by this number. If a computer’s system clock is 2.4 GHz, calculate the period of thesystem clock. If an 8-bit binary number is used to represent an analog value inthe range from 200 ounces to 700 ounces, what is the resolution ofthe system?This 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 01100000000000000000000This 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 01111100 01100000000000000000000(Hint: remember to use the biased form of the exponent.)
- Represent the binary representation of a float type to integer type. Single precision float (32-bit length) is represented in IEEE754 format: 1 bit of sign, 8 for exponent plus bias of 127, and 23 for the mantissa. Example: * 85.125 is [101 0101.001] in binary and this would be [1.0101 0100 1 x 2^6] in scientific notation of base 2. * Our sign bit will be [0] (positive), exponent+bias is [1000 0101] (6 + 127 = 133), and mantissa of [0 1010 1001000...] (whole is omitted and zeroes are added to the right until its length is 23). * Merging this will be [0100 0010 1010 1010 0100 0000 0000 0000] which is equivalent as 1118453760 in integer. * Therefore, binary of 85.125 in float is 1118453760 in integer. Input A single line containing a float type non-positive number. 85.125Output A single line containing the integer representation of float type binary. 1118453760Consider an 8-bit floating point format. In this representation 4 bits are reserved for the mantissa and 3 bits are reserved for the exponent and 1 bit is reserved for the sign of the number. The exponent of the number is stored with a bias = 3. Express the decimal number 4.75 in this 8 bit floating point format. Write down the next bigger representable number in decimal base. B If you would be conducting the following operation using this 8 bit floating point format what would the result of the following calculation be ? 4.75 + 0.05 - 4.75 Express the decimal number 4.75 in this 8 bit floating point format. [10] b) Write down the next bigger representable number in decimal base. [7.5] c) If you would be conducting the following operation using this 8 bit floating point format what would the result of the following calculation be ? 4.75 + 0.05 - 4.75In each of the following you are given a bit sequencecorresponding to the IEEE single precisionrepresentation of a floating-point number. In eachcase determine the base 2 floating-point representationof the number and also the base 10 decimalrepresentation of the number: 01000001000110100000000000000000
- Consider the following floating point representation where each number has 2exponent bits and 5 fraction bits. The exponent bias is 1. Round each number tohave 3 fraction bits. Apply round-to-even and round-toward-zero modes.a. 1 10 11100b. 0 00 00101c. 1 01 10101i. Can you see a pattern for rounding floating point numbers when thenumber of exponent bits are intact?WAP program creates a BitArray of five Byte values (1,2,3,4,5) anddisplays each byte in its proper binary form:use c#If an unsigned 8-bit integer were to be extended to a 16-bit one, the first 8 most significant bits (MSB) would be filled with ones, creating a signed 16-bit representation. Pick a solution from these two options: Is it true or false that...?
- Examples of 8-bit binary representations of the decimal value 30 are shown below. definition a) the opposite of a term; b) Excess-M;?1) 0xBEAD (in hex) can be written in decimal (base 10) as: 2) 23.2578125 (decimal) is expressed in binary (base 2) as: Do no use any spaces within your representation. Use 8 bits to represent the integer part, and an additional 8 bits to represent the fractional parts (i.e., 8 bits before the radix point and after the radix point).assume of 14-bit floating point format in which the most significant bit is the sign but the next six bits represent the 6-bit biased exponent field and the last seven bits represent the normalized significant using this floating point format what is the bit pattern that represents the value 45 ^5/8