CIS105 - MIDTERM (ARIZONA STATE
UNIVERSITY EARNED ADMISSIONS)
ACTUAL EXAM PAPER 2026
QUESTIONS WITH ANSWERS GRADED
A+
◍ Given decimal number: 43Task: Convert this number into binary and shift it
left by 1 position (logical shift) and indicate the result in each number
representation:.
Answer: Decimal: 86Hexadecimal: 56Binary: 01010110
◍ Will Google Earth become Google Live.
Answer: Yes
◍ Given binary number: 11101111Task: Convert this number into binary and
shift it right by 1 position (logical shift) and indicate the result in each
number representation:.
Answer: Decimal: 119Hexadecimal: 77Binary: 01110111
◍ Given hexadecimal number: B5Task: Convert this number into binary and
shift it right by 2 positions (logical shift) and indicate the result in each
number representation:.
Answer: Decimal: 45Hexadecimal: 2DBinary: 00101101
◍ Fill in the truth table for the NOR gate:.
Answer: 0, 0, 0, 1
◍ Fill in the truth table for the XOR gate:.
Answer: 0, 1, 1, 0
◍ The tangible and physical aspects of a computer are called what?.
, Answer: Hardware
◍ Apply bitwise AND to the following numbers:0b110010100b00111001.
Answer: 00001000
◍ Does the average business person need to be an expert IT?.
Answer: No
◍ What is the most important part of an information system?.
Answer: People
◍ Acquiring technology when it is first introduced is called what?.
Answer: Being a leader
◍ Apply bitwise OR to the following numbers:0b100010100b00101001.
Answer: 10101011
◍ Desktop computers are considered what type of computer?.
Answer: Microcomputers
◍ Apply bitwise NOR to the following numbers:0b011011000b01011000.
Answer: 10000011
◍ Apply bitwise XOR to the following numbers:0b100111000b11110000.
Answer: 01101100
◍ Convert the following two equations into the canonical sum-of-minterms
form and answer the question at the bottom:Equation 1: F(a,b,c) = a'bc + abc
+ ( (abc')' * (abc)' )'Canonical sum-of-minterms form of equation 1:Equation
2: F(a,b,c) = bc + abCanonical sum-of-minterms form of equation 2:Are the
two equations equal from a logic perspective? (use only "yes" or "no" as
answer).
Answer: F(a,b,c) = a'bc + abc + abc' + abcF(a,b,c) = a'bc + abc + abc'yes
◍ Convert the following two equations into the canonical sum-of-minterms
form and answer the question at the bottom:Equation 1: F(x,y,z) = xy +
z'(x+y)Canonical sum-of-minterms form of equation 1:Equation 2: F(x,y,z)
= ((x'yz)')' + (xy + xy' + x'y)z'Canonical sum-of-minterms form of equation
2:Are the two equations equal from a logic perspective? (use only "yes" or
, "no" as answer).
Answer: F(x,y,z) = xyz + xyz' + xyz' + xy'z' + xyz' + x'yz'F(x,y,z) = x'yz +
xyz' + xy'z' + x'yz'no
◍ Derive the Boolean equation(s) from the following truth table (only x, y, z
are inputs).Boolean equation(s) must be in canonical sum of minterms
form!.
Answer: ADC1(x, y, z) = x'y'z' + xy'z + xyzADSC(x, y, z) = x'yz' + x'yz +
xyz'
◍ Convert the following circuit schema to Boolean equations..
Answer: Equation 1: ((i0i1) + (i2+i3)')'Equation 2: (i0i1) + (i2+i3)'
◍ Convert the following Boolean equation into a truth table: G(d,e,f) = f' + (de'
+ de).
Answer: 1, 0, 1, 0, 1, 1, 1, 1
◍ What is the minimum bit size that a state register must have in order to be
used in a system that has 17 states?.
Answer: 5 bits
◍ What are the Boolean equations for the next state of this state diagram?Do
the following steps:Create the truth table for the given state diagram with
the given encoding of each state. Use the following labels: input: x, output:
f, current state: c, next state: n.Derive the Boolean equation(s) for the next
state from the truth table. This Boolean equation is the answer to this
question. Don't submit the truth table you created!.
Answer: n1 = c1'c0'x' + c1'c0x' + c1c0x'n0 = c1'c0'x' + c1'c0x' + c1c0x' +
c1c0x
◍ A 8x1 multiplexer has the following input i7i6i5i4i3i2i1i0=00110111 and
its output is f=0. Which values could the select bits have?.
Answer: s2s1s0=011s2s1s0=110s2s1s0=111
◍ A 1x8 demultiplexer has the following output
f7f6f5f4f3f2f1f0=00010000.What value do the select bits have?What values
does the input have?.
UNIVERSITY EARNED ADMISSIONS)
ACTUAL EXAM PAPER 2026
QUESTIONS WITH ANSWERS GRADED
A+
◍ Given decimal number: 43Task: Convert this number into binary and shift it
left by 1 position (logical shift) and indicate the result in each number
representation:.
Answer: Decimal: 86Hexadecimal: 56Binary: 01010110
◍ Will Google Earth become Google Live.
Answer: Yes
◍ Given binary number: 11101111Task: Convert this number into binary and
shift it right by 1 position (logical shift) and indicate the result in each
number representation:.
Answer: Decimal: 119Hexadecimal: 77Binary: 01110111
◍ Given hexadecimal number: B5Task: Convert this number into binary and
shift it right by 2 positions (logical shift) and indicate the result in each
number representation:.
Answer: Decimal: 45Hexadecimal: 2DBinary: 00101101
◍ Fill in the truth table for the NOR gate:.
Answer: 0, 0, 0, 1
◍ Fill in the truth table for the XOR gate:.
Answer: 0, 1, 1, 0
◍ The tangible and physical aspects of a computer are called what?.
, Answer: Hardware
◍ Apply bitwise AND to the following numbers:0b110010100b00111001.
Answer: 00001000
◍ Does the average business person need to be an expert IT?.
Answer: No
◍ What is the most important part of an information system?.
Answer: People
◍ Acquiring technology when it is first introduced is called what?.
Answer: Being a leader
◍ Apply bitwise OR to the following numbers:0b100010100b00101001.
Answer: 10101011
◍ Desktop computers are considered what type of computer?.
Answer: Microcomputers
◍ Apply bitwise NOR to the following numbers:0b011011000b01011000.
Answer: 10000011
◍ Apply bitwise XOR to the following numbers:0b100111000b11110000.
Answer: 01101100
◍ Convert the following two equations into the canonical sum-of-minterms
form and answer the question at the bottom:Equation 1: F(a,b,c) = a'bc + abc
+ ( (abc')' * (abc)' )'Canonical sum-of-minterms form of equation 1:Equation
2: F(a,b,c) = bc + abCanonical sum-of-minterms form of equation 2:Are the
two equations equal from a logic perspective? (use only "yes" or "no" as
answer).
Answer: F(a,b,c) = a'bc + abc + abc' + abcF(a,b,c) = a'bc + abc + abc'yes
◍ Convert the following two equations into the canonical sum-of-minterms
form and answer the question at the bottom:Equation 1: F(x,y,z) = xy +
z'(x+y)Canonical sum-of-minterms form of equation 1:Equation 2: F(x,y,z)
= ((x'yz)')' + (xy + xy' + x'y)z'Canonical sum-of-minterms form of equation
2:Are the two equations equal from a logic perspective? (use only "yes" or
, "no" as answer).
Answer: F(x,y,z) = xyz + xyz' + xyz' + xy'z' + xyz' + x'yz'F(x,y,z) = x'yz +
xyz' + xy'z' + x'yz'no
◍ Derive the Boolean equation(s) from the following truth table (only x, y, z
are inputs).Boolean equation(s) must be in canonical sum of minterms
form!.
Answer: ADC1(x, y, z) = x'y'z' + xy'z + xyzADSC(x, y, z) = x'yz' + x'yz +
xyz'
◍ Convert the following circuit schema to Boolean equations..
Answer: Equation 1: ((i0i1) + (i2+i3)')'Equation 2: (i0i1) + (i2+i3)'
◍ Convert the following Boolean equation into a truth table: G(d,e,f) = f' + (de'
+ de).
Answer: 1, 0, 1, 0, 1, 1, 1, 1
◍ What is the minimum bit size that a state register must have in order to be
used in a system that has 17 states?.
Answer: 5 bits
◍ What are the Boolean equations for the next state of this state diagram?Do
the following steps:Create the truth table for the given state diagram with
the given encoding of each state. Use the following labels: input: x, output:
f, current state: c, next state: n.Derive the Boolean equation(s) for the next
state from the truth table. This Boolean equation is the answer to this
question. Don't submit the truth table you created!.
Answer: n1 = c1'c0'x' + c1'c0x' + c1c0x'n0 = c1'c0'x' + c1'c0x' + c1c0x' +
c1c0x
◍ A 8x1 multiplexer has the following input i7i6i5i4i3i2i1i0=00110111 and
its output is f=0. Which values could the select bits have?.
Answer: s2s1s0=011s2s1s0=110s2s1s0=111
◍ A 1x8 demultiplexer has the following output
f7f6f5f4f3f2f1f0=00010000.What value do the select bits have?What values
does the input have?.
