Please show all work Represent the decimal number 88 in 8-bit binary number using the following representation methods: a) One's complement b) Excess-M
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- 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?Create a 4-bit by 3-bit binary multiplier that multiplies a 4-bit number by a 3-bit number. Note: The 4-bit number should be the multiplicand and the 3-bit number should be the multiplier.Floating point calculation: a Show the IEEE 754 representation for the decimal value -0.375 in single precision b. Find the decimal representation for the following single precision floating point number 1011,1111,0111,0000,0000,0000,0000,0000 c. Perform the addition and multiplication of the two floating point numbers in (a) and (b) in binary scientific notation, and represent the sum and product in single precision.
- What are the mantissa and exponent values if 6.75 is represented in 8-bit binary floating-point representation? a) Mantissa is 1011 and exponent is 101 b) Mantissa is 0011 and exponent is 100 c) Mantissa is 1011 and exponent is 100 d) Mantissa is 0011 and exponent is 101What 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?Perform the following additions. The numbers are in binary: 1) 1011 +0001 2) 00101110 +10010010 Repeat problem, this time convert the binary numbers to decimal, then perform the addition of the two decimal numbers. Convert the sum into binary representation and compare the results.
- To convert the value 30 in decimal notation to an 8-bit binary integer, you may use any one of the following representation methods: the complement of one's opposite; b) the opposite of excess; or?To convert the decimal number 30 to an 8-bit binary number, use the following representation methods: How would you describe something that is the reverse of what it is?12. Given the following hamming code, find the 1 error in it and correct it. Hamming code: 1101 1100 1110 01111
- If the mantissa in a 16-bit floating point number is 10 bits long, then this mantissa 1101100000 when converted to base-10 is equal to: a) .8125 b) .8342 c) .0625 d) .84375 e) None among the given choicesIn a given 32-bit floating-point representation of numbers, if the number of bits of the mantissa is reduced to accommodate an increase in the number of bits of the exponent, this will result in the following: (select the best answer) Increased range of the numbers at the expense of the precision Increased precision of the numbers at the expense of the range Both range and precision increase Both range and precision decreaseDIGITAL DESIGN COMP 231 Exersies: a) Perform the subtraction with the following unsigned binary numbers by taking the 2'scomplement of the subtrahend.i * (0.1101 - 10110)ii * 0.11011 - 1001 b). Convert the followinga.99710 =() 16b. 25710 =()sc- 65410 =() 2d. 10116=()10