Q Question 1 0.4 / 0.4 pts Answer the following questions by choose the best answer from the dropdown list. i. Consider bit pattern 0011000two. • The most significant bit is ["", ""] at position ["", "", "", "", "", "", "", ""] of its positional notation. • The least significant bit is ["", ""] at position ["", "", "", "", "", "", "", ""] of its positional notation. ii. Consider any signed number. Leading ["", ""] means it is non-negative, while leading ["", ""] means is negative. iii. Consider the two pairs of additive inverses below. Pair A is represented using the ["", ""] method while pair B is using the ["", ""] method. A. 0110two and 1110two B. 0110two and 1010two Question 2 1 / 1.5 pts Calculate the decimal equivalent of the 100110two if it is treated as a signed number. • Complete the addition by arranging the non-zero addition terms 2^i in ascending order by the exponent of 2. o Both 2^i and 2 ^ i are acceptable answers, and 2^i = 2i. • For the place value of the sign bit, follow the format of notation used in the slide by typing (-2^i). o (-2^i) = (-2 ^ i) = (- 2 ^ i) = (- (2 ^ i)) = (-2i). • Fill NA in unnecessary addition term. Signed 100110two = 1 × + 1 × + 1 × + 1 × + 1 × = Question 2 1 / 1.5 pts Calculate the decimal equivalent of the 100110two if it is treated as a signed number. • Complete the addition by arranging the non-zero addition terms 2^i in ascending order by the exponent of 2. o Both 2^i and 2 ^ i are acceptable answers, and 2^i = 2i. • For the place value of the sign bit, follow the format of notation used in the slide by typing (-2^i). o (-2^i) = (-2 ^ i) = (- 2 ^ i) = (- (2 ^ i)) = (-2i). • Fill NA in unnecessary addition term. Signed 100110two = 1 × + 1 × + 1 × + 1 × + 1 × = Question 4 1.1 / 1.5 pts Calculate the decimal equivalent of a 16-bit pattern 0xCE00 if it is treated as a signed number. • Complete the positional notation of the 16-bit pattern. Position 3 2 1 0 Hex digit Bit (fill 16 bits ONLY) • Complete the addition by arranging the non-zero addition terms 2^i in ascending order by the exponent of 2. o Both 2^i and 2 ^ i are acceptable answers, and 2^i = 2i. • For the place value of the sign bit, follow the format of notation used in the slide by typing (-2^i). o (-2^i) = (-2 ^ i) = (- 2 ^ i) = (- (2 ^ i)) = (-2i). • Fill NA in unnecessary addition term. Signed 0xCE00 = 1 × + 1 × + 1 × + 1 × + 1 × + 1 × = Question 5 0.6 / 1.5 pts Calculate the decimal equivalent of a 11-bit pattern 0x4DA if it is treated as a signed number. • Complete the positional notation of the 16-bit pattern. Position 3 2 1 0 Hex digit Bit (fill 11 bits ONLY) • Complete the addition by arranging the non-zero addition terms 2^i in ascending order by the exponent of 2. o Both 2^i and 2 ^ i are acceptable answers, and 2^i = 2i. • For the place value of the sign bit, follow the format of notation used in the slide by typing (-2^i). o (-2^i) = (-2 ^ i) = (- 2 ^ i) = (- (2 ^ i)) = (-2i). • Fill NA in unnecessary addition term. Signed 0x4DA = 1 × + 1 × + 1 × + 1 × + 1 × + 1 × = Question 6 1 / 1 pts The decimal equivalent of 100...0two (1 followed by 20 zeros) = if it is treated as a signed number. • Fill the blank with a power of 2 with a possible sign. Question 7 1.8 / 2.4 pts Convert -16 to its 6-bit binary equivalent. Then convert the bit pattern to hexadecimal by filling the Hex digit row. • Step 1: Find the least power of 2, 2s ?| |. s = . • Step 2: Fill position up to with the sign bit. o Fill up to 4 bits in a blank. o Fill unnecessary blanks with NA. • Step 3: Fill the unsigned binary equivalent of + 2s = in the positional notation. • Step 4: Fill the necessary empty spots with 0. Position 11 down to 8 7 down to 4 3 down to 0 Bit Hex digit