.. Convert each pair of decimal numbers to 8-bit signed binary form and add the numbers together. (10 points each) a. -69 and 42

(1) a. Convert the following from binary to decimal. (please show workings) i. 00011011ii. 10101010iii. 01101111iv. 11111000v. 01010101

(b) A floating point number has the 12 bit binary sequence 1011 11011101. The first four bits are for the exponent, which has a bias of 7, and the next eight bits are for the mantissa, with no hidden bit and its leading bit is the sign bit, (i) (ii) What decimal number does this binary sequence represent? In this resulting decimal number, how many digits can you trust?

(d) (e) 20.75 in decimal to a number in binary. 2FACE in hexadecimal to a number in binary. (1) (f) 9CE and ADE in hexadecimal to a number in E (g) (h) (i) 11011101 in binary to a number in octal. 101011011110 in binary to a number in hexad 24.6 in octal to a number in binary. 27 in base-9 to a number in binary. 416 in base-7 to a number in binary. (k)

1. (3.4) Convert the decimal numbers 73, 1906, -95, and -1630 into signed 12-bit numbers in the following representations: a) Sign-and-magnitude b) l's complement c) 2's complement

a. Assume (F43)(16) and (1B7)(16) are unsigned 12-bit Hexadecimal integers.CalculateF43 -1B7. Is there overflow?b. Assume 185 and 122 are unsigned 8-bit decimal integers. Calculate185 - 122. Is there overflow?c. Calculate (1100 1101)2 + (1100 10101)2

(ii) Convert the number 1000 from base 2 to base 10. Show all steps.