(A). Convert the decimal number 123 to binary and ternary numbers in the mantissa-exponent form.
1. Convert the binary number 10101102 to octal, decimal, and hexadecimal numbers. 2. Convert the decimal number 236.7510 to binary,octal, and hexadecimal numbers. 3. Add the following two binary numbers: 100111102 and 011110112. Remember to show any carries that are generated along the way. 4. Repeat the previous question, but this time subtract the second binary number from the first. Remember to show any borrows that are required along the way. 5. Determine the encoding of the decimal number 28610...
Convert the following binary numbers to floating point format. Assume a binary format consisting of a sign bit (+ positive = 0, - negative = 1), a base 2, 8-bit exponent is 130, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa. Write your final answer out in the IEEE 754 format +110110.0110112
. 2.1 a. Find the 16-bit 2’s complementary binary representation for the decimal number 1987. b. Find the 16-bit 2’s complementary binary representation for the decimal number −1987. What are the 16-bit 1’s and 2’s complements of the following binary numbers? a. 10000 b. 100111100001001 Convert the decimal number 19557 to floating point. Use the format SEEMMMM. All digits are decimal. The exponent is stored excess-40 (not excess-50). The implied decimal point is at the beginning of the mantissa. The sign...
2.1 a. Find the 16-bit 2’s complementary binary representation for the decimal number 1987. b. Find the 16-bit 2’s complementary binary representation for the decimal number −1987. What are the 16-bit 1’s and 2’s complements of the following binary numbers? c. 10000 d. 100111100001001 Convert the decimal number 19557 to floating point. Use the format SEEMMMM. All digits are decimal. The exponent is stored excess-40 (not excess-50). The implied decimal point is at the beginning of the mantissa. The sign...
1. Convert the decimal number +164 and -164 to 9-bit binary numbers according to Sign magnitude, One’s complement, and Two’s complement 2. Convert the binary number 111011010 to base 10 decimal form (our regular number system) treating it as each of the following representations: Sign magnitude, One’s complement, and Two’s complement
5 Convert the following binary numbers to decimal form: (a) 110011 (b) 101.1101 (c) 0.1000001 (c) 0.1000001 (d) 1010101010101 6) Convert the following decimal numbers to binary format (a) 366 (b) 4.25 (c) 1/6
Convert the following decimal numbers to 8-bit binary form: 254 255 192 28 145
1. a) Perform the following binary subtractions of unsigned binary numbers. Convert your answer to decimal. i) 101001012 - 01001001, ii) 110110102 - 100100112 b) Repeat the calculations above but for when the binary numbers are in two's complement form. Comment on the results of the two methods used, noting and discrepancies. 2. Find the sums of the following unsigned hexadecimal numbers. Indicate whether or not the sum overflows an equivalent 8-bit binary result. a) 1116 +2216 b) 1716 +3516...
Given two numbers in decimal form, 192 and 85, convert both to binary, then add them together in binary. Why is the result not 277? Show steps please. Trying to learn
Represent the number (+46.5)10 as a floating point binary number with 24-bits.The normalized fraction mantissa has 16-bits and the exponent has 8-bits.