Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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11. Binary and floating-point arithmetic:
Solve each binary operation with detailed, step-by-step explanation. Note that for each of the following operations, first you need to convert the decimal numbers (represented in base 10) into their binary representation. Explain where carry bit is generated and how.
a. Binary multiplication of (12 x 9).
b. Binary subtraction of (7 – 15).
c. Binary division of (12 / 3).
d. Convert (1425.75)10 into a 32-bit Single Precision IEEE floating-point binary number. Use the example in the .ppt slides
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- Assume we are using the simple model for floating-point representation discussed in the class (the representation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significand of 8 bits, and a single sign bit for the number): Convert -43.0735 to the floating-point binary representation. (Remember we learned "implied one" format in the lecture)arrow_forward[4.1] Consider the number -1.36875 x 101 as the dividend and 5.625 x 101 as the divisor. a. Find their binary representation. b. Normalize the results that you got it in (A) and put them in the 8-bit quarter- precision format (1 for sign bit, 2 for exponent, and 5 for fraction). c. Implement the division and show all the steps of the division to results that you got it in (B). Show if there is an overflow or underflow by assuming that there is a guard bit, a round bit, and a sticky bit.arrow_forwardAssume we have a 2's complement system with an 8-bit whole number part and a 2-bit fractional part. Find a decimal representation of 2's complements binary number 1110 0010.01 it expects a numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.arrow_forward
- Pick two positive integer numbers. Show that if you multiply them, then you will get a negative integer as your result because of overflow. Therefore, you need to demonstrate what happens when overflow happens with two’s complement integer multiplication. You have a 4-bit processor, and the number representation is two’s complement.arrow_forwardSolve the two questions pleasearrow_forwardAnswer with explanationarrow_forward
- Assume that a mad scientist has created a computer that has 12-bit registers (storage). The most significant bit is the sign bit. He wants to execute the following computation using 12-bit register. 124-435 (Subtract decimal 435 from decimal 124) Use 2's complement method (in binary) to find the result of the above operation in binary system. Then convert the result back to decimal to check your answer. NOTE: Please don't do the subtraction in decimal! Show all the computations in the answer. Paragraph В I +v Add a File Record Audioarrow_forwardAnswer the given question with a proper explanation and step-by-step solution. Find the doubleword-length 2's complement hex representation of the following decimal number: -934 Notes: When writing the hex value using this representation, you should always write pairs of digits with spaces between them. For example, if the value is 3F2E44DA2C, then it should be written as 3F 2E 44 DA 2C. Make sure your answer is the correct size. If it is not written in the correct size, it is wrong! Hexadecimal:arrow_forward6. Using only the binary shift left operation, how can one multiply a number by decimal 16?arrow_forward
- Please type your answer.not picture 2. Represent the decimal number -66 in 8-bit binary number using the following representation methods: a) Two's complement b) Signed-magnitude 3. What decimal value does the 8-bit binary number 10010110 have if: a) it is on a computer using signed-magnitude representation? b) it is on a computer using two's complement representation? c) it is on a computer using excess-M representation?arrow_forwardCan someone explain to me each step and why it would be the respective answers?arrow_forward
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